diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml index 9863a961..bf709342 100644 --- a/.pre-commit-config.yaml +++ b/.pre-commit-config.yaml @@ -17,7 +17,7 @@ repos: name: Clear output from Jupyter notebooks description: Clear output from Jupyter notebooks. files: \.ipynb$ - exclude: ^docs/pre_executed + exclude: ^docs/notebooks/.*\.ipynb stages: [pre-commit] language: system entry: jupyter nbconvert --clear-output diff --git a/docs/notebooks/images/conicsections.png b/docs/notebooks/images/conicsections.png new file mode 100644 index 00000000..b25e09f7 Binary files /dev/null and b/docs/notebooks/images/conicsections.png differ diff --git a/docs/notebooks/images/orbitellipse.png b/docs/notebooks/images/orbitellipse.png new file mode 100644 index 00000000..fb2221db Binary files /dev/null and b/docs/notebooks/images/orbitellipse.png differ diff --git a/docs/notebooks/orbit_visualizer_demo.ipynb b/docs/notebooks/orbit_visualizer_demo.ipynb new file mode 100644 index 00000000..cb1d6cd5 --- /dev/null +++ b/docs/notebooks/orbit_visualizer_demo.ipynb @@ -0,0 +1,8605 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "d89fec02", + "metadata": {}, + "source": [ + "# Layup Visualize Demo Notebook\n", + "Once you have your lovely set of input orbits, why not take a moment to appreciate how they look in space? The pupose of this notebook is to demonstrate a simple way to display the Layup Visualize orbital drawing function (as an ellipse/cone) within Jupyter, without needing to run the full Dash app. The basic driver behind all of this is that we convert any orbit format into a set of classical conic section elements, namely:\n", + "\n", + "- L (Semilatus rectum, in au)\n", + "- e (Eccentricity)\n", + "- i (Inclination, in degrees)\n", + "- $\\omega$ (Argument of perihelion, in degrees)\n", + "- $\\Omega$ (Longitude of ascending node, in degrees) \n", + "\n", + "From these we can calculate a true anomaly $\\nu$ and describe any conic section, from circular to elliptical to parabolic to hyperbolic orbits.\n", + "\n", + "

\n", + " \"conic\n", + " \"orbit\n", + "

" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "a0d60be7", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "\n", + "from layup.orbit_maths import (\n", + " conic_lines_from_classical_conic,\n", + " build_ephem_and_mus,\n", + " build_planet_lines_cache,\n", + " prepopulate_orbit_variants,\n", + ")\n", + "from layup.dash_ui import plotly_2D, plotly_3D" + ] + }, + { + "cell_type": "markdown", + "id": "c4fffabc", + "metadata": {}, + "source": [ + "## 1) Create (or load) some orbits\n", + "Below we build a few toy orbits directly with our classical conic elements. In your real workflow, you’d typically get a `ClassicalConic` object via our existing converters in `orbit_maths.py`" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "01a2a186", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[('Obj-00', 61000., 9.62653851, 0.01 , 22.24788145, 81.80593984, 272.91158643, 70.06993483)\n", + " ('Obj-01', 61000., 6.10822362, 0.21917606, 55.60589933, 199.65052333, 127.62934853, 168.01956134)\n", + " ('Obj-02', 61000., 10.51527816, 0.15256361, 38.6319072 , 22.9742122 , 349.45128878, 15.76935568)\n", + " ('Obj-03', 61000., 8.82236431, 0.19747983, 49.3656968 , 297.94722192, 321.52360368, 55.54421714)\n", + " ('Obj-04', 61000., 2.48886215, 0.07204341, 26.60485193, 227.39918368, 280.21805895, 245.89762317)]\n" + ] + } + ], + "source": [ + "# --- toy dataset: 5 example orbits ---\n", + "rng = np.random.default_rng(42)\n", + "N = 5\n", + "dtype = [\n", + " (\"ObjID\", \"U32\"),\n", + " (\"epochMJD_TDB\", \"f8\"),\n", + " (\"a\", \"f8\"),\n", + " (\"e\", \"f8\"),\n", + " (\"inc\", \"f8\"),\n", + " (\"argPeri\", \"f8\"),\n", + " (\"node\", \"f8\"),\n", + " (\"ma\", \"f8\"),\n", + "]\n", + "\n", + "orbits = np.zeros(N, dtype=dtype)\n", + "orbits[\"ObjID\"] = [f\"Obj-{i:02d}\" for i in range(N)]\n", + "orbits[\"epochMJD_TDB\"] = float(61000.0)\n", + "orbits[\"a\"] = rng.uniform(1.5, 12.0, size=N)\n", + "orbits[\"e\"] = np.clip(\n", + " rng.normal(0.2, 0.15, size=N), 0.01, 0.85\n", + ") # <-- keep it elliptical for the sake of discussion, but could be hyperbolic\n", + "orbits[\"inc\"] = rng.uniform(0, 60, size=N)\n", + "orbits[\"argPeri\"] = rng.uniform(0, 360.0, size=N)\n", + "orbits[\"node\"] = rng.uniform(0, 360.0, size=N)\n", + "orbits[\"ma\"] = rng.uniform(0, 360, size=N)\n", + "\n", + "print(orbits)" + ] + }, + { + "cell_type": "markdown", + "id": "8bf5a280", + "metadata": {}, + "source": [ + "## 2) Generate a cache of all ellipse/hyperbola lines\n", + "Under the hood, Layup Visualize will create a cache in all four combinations of barycentric+heliocentric && equatorial+ecliptic, regardless of your input specification via `prepopulate_orbit_variants` (we just use your input to tell us where to start for conversion). This allows us to easiy toggle between any combination you want" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "5b0bcdcd", + "metadata": {}, + "outputs": [], + "source": [ + "conic_cache, lines_cache, sunpos_cache, pos_cache = prepopulate_orbit_variants(\n", + " orbits,\n", + " orbit_format=\"KEP\",\n", + " input_plane=\"ecliptic\",\n", + " input_origin=\"heliocentric\",\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "f5602f83", + "metadata": {}, + "source": [ + "## 3) Get the heliocentric ecliptic frame orbits\n", + "\n", + "By default in the Dash app we render our orbits, regardless of input, as heliocentric ecliptic framed. In the app you can toggle between heliocentric <-> barycentric origins and ecliptic <-> equatorial reference planes no matter what input you gave via the buttons. For now though, let's specify explicitly the output we want as `key`\n", + "\n", + "`conic_lines_from_classical_conic` then returns an array shaped `(N, n_points, 3)` with XYZ points in au for your N objects" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "628ece22", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(5, 400, 3)" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "key = (\"helio\", \"ecl\")\n", + "conic = conic_cache[key]\n", + "orbit_pos = pos_cache[key]\n", + "sun_xyz = sunpos_cache[key]\n", + "\n", + "lines = conic_lines_from_classical_conic(conic, n_points=400)\n", + "lines.shape" + ] + }, + { + "cell_type": "markdown", + "id": "f378c519", + "metadata": {}, + "source": [ + "## 4) Plot objects (2D and 3D)\n", + "\n", + "`plotly_2D` and `plotly_3D` can now produce some nice figures of our orbits. Here we'll first render all of our objects in our set in 2D. `plotly_2d` takes an argument `plots` (plural) which can be one of XY / XZ / YZ. This produces side by side of any of: a bird's eye (top-down, or XY plane) view, or a side (edge-on, or XZ / YZ plane) view of all our orbits, as well as the Sun. We note that XY is always returned with equal aspect ratios, as that is the reference plane, and we don't want to distort the orbit shapes. The scatter markers represent where each input object was at the reference epoch specified in the input file\n", + "\n", + "Try moving your mouse over each plot to play around with the interactive aspect! Hover over an orbit to get a tooltip containing some orbital elements of that object, pan and squash/stretch the axes by clicking and dragging your mouse along them, or zoom in and out of the figure. In the top right, you can reset the figure to its initial position, as well as save the figure as a .png if you like" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "e3295200", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "Obj-00
e: 0.0100
i: 22.25°
Ω: 272.91°
ω: 81.81°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Centaur" + }, + "mode": "lines", + "name": "Obj-00", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.0100
i: 22.25°
Ω: 272.91°
ω: 81.81°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Centaur" + }, + "mode": "lines", + "name": "Obj-00", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.2192
i: 55.61°
Ω: 127.63°
ω: 199.65°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "JFC" + }, + "mode": "lines", + "name": "Obj-01", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.2192
i: 55.61°
Ω: 127.63°
ω: 199.65°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "JFC" + }, + "mode": "lines", + "name": "Obj-01", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.1526
i: 38.63°
Ω: 349.45°
ω: 22.97°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Centaur" + }, + "mode": "lines", + "name": "Obj-02", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.1526
i: 38.63°
Ω: 349.45°
ω: 22.97°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Centaur" + }, + "mode": "lines", + "name": "Obj-02", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.1975
i: 49.37°
Ω: 321.52°
ω: 297.95°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Other" + }, + "mode": "lines", + "name": "Obj-03", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.1975
i: 49.37°
Ω: 321.52°
ω: 297.95°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Other" + }, + "mode": "lines", + "name": "Obj-03", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.0720
i: 26.60°
Ω: 280.22°
ω: 227.40°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "MBA" + }, + "mode": "lines", + "name": "Obj-04", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.0720
i: 26.60°
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e: 0.2192
i: 55.61°
Ω: 127.63°
ω: 199.65°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "JFC" + }, + "mode": "lines", + "name": "Obj-01", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.1526
i: 38.63°
Ω: 349.45°
ω: 22.97°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Centaur" + }, + "mode": "lines", + "name": "Obj-02", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.1975
i: 49.37°
Ω: 321.52°
ω: 297.95°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Other" + }, + "mode": "lines", + "name": "Obj-03", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.0720
i: 26.60°
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easily by just constructing them in a very similar way to our orbits. The only difference is we need to make use of Assist to get accurate Sun + Planet positions based on the users bootstrapped auxiliary files" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "f1e51608", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "Mercury", + "line": { + "color": "rgba(190,190,190,0.95)", + "width": 2.2 + }, + "meta": { + "kind": "Planet" + }, + "mode": "lines", + "name": "Mercury", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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e: 0.0100
i: 22.25°
Ω: 272.91°
ω: 81.81°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Centaur" + }, + "mode": "lines", + "name": "Obj-00", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.0100
i: 22.25°
Ω: 272.91°
ω: 81.81°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Centaur" + }, + "mode": "lines", + "name": "Obj-00", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.2192
i: 55.61°
Ω: 127.63°
ω: 199.65°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "JFC" + }, + "mode": "lines", + "name": "Obj-01", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.2192
i: 55.61°
Ω: 127.63°
ω: 199.65°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "JFC" + }, + "mode": "lines", + "name": "Obj-01", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.1526
i: 38.63°
Ω: 349.45°
ω: 22.97°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Centaur" + }, + "mode": "lines", + "name": "Obj-02", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.1526
i: 38.63°
Ω: 349.45°
ω: 22.97°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Centaur" + }, + "mode": "lines", + "name": "Obj-02", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.1975
i: 49.37°
Ω: 321.52°
ω: 297.95°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Other" + }, + "mode": "lines", + "name": "Obj-03", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.1975
i: 49.37°
Ω: 321.52°
ω: 297.95°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Other" + }, + "mode": "lines", + "name": "Obj-03", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.0720
i: 26.60°
Ω: 280.22°
ω: 227.40°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "MBA" + }, + "mode": "lines", + "name": "Obj-04", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 0.0720
i: 26.60°
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Again, we plot in heliocentric ecliptic by default, and now we overplot the ecliptic plane in red to help you orient yourself better. On the Dash app version you can control the transparency of this (including turning it off entirely - if you want to do this here, just change `show_plane` to False), and convert it to the equatorial plane via a toggle button. Planets can be added in the exact same way as before. Play around and try hovering over orbit lines again to see how our toy objects look in 3D this time. Try lining up the XY and XZ planes as in the 2D case above - do they match? " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "2dc7374b", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hoverinfo": "skip", + "name": "ref-plane", + "opacity": 0.5, + "showscale": false, + "surfacecolor": { + "bdata": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 ", + "dtype": "f8", + "shape": "40, 40" + }, + "type": "surface", + "x": { + "bdata": 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", 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", + "dtype": "f8", + "shape": "40, 40" + }, + "z": { + "bdata": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 ", + "dtype": "f8", + "shape": "40, 40" + } + }, + { + "hovertemplate": "Mercury", + "line": { + "color": "rgba(190,190,190,0.95)", + "width": 5 + }, + "meta": { + "kind": "Planet" + }, + "mode": "lines", + "name": "Mercury", + "showlegend": false, + "type": "scatter3d", + "x": { + "bdata": 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", 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", 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", 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", 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", 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NAMAY+zmF6pIAwN8rbqAh2ADAdsh0vSMdAcDbD24Q8GEBwK+Zvc6FpgHAudfmLuTqAcCrrnloCi8CwOUfDbT3cgLA6qM/S6u2AsAFi7toJPoCwPQXPEhiPQPAJ2aTJmSAA8B3n7BBKcMDwFWsptiwBQTAdC2wK/pHBMB1di58BIoEwGWDmAzPywTAyQBSIFkNBcCBjoL7oU4FwK/jMuOojwXAodG3HW3QBcBE0/fy7RAGwF66XqwqUQbAKNC3lCKRBsB8TRX41NAGwCxMxSNBEAfAwlZPZmZPB8A+bHQPRI4HwFH3L3DZzAfA0IS52iULCMBWfIWiKEkIwLScRhzhhgjAbqXtnU7ECMCJaKR+cAEJwKoRvBZGPgnAGOiEv856CcADixnTCbcJwPG/X6z28gnAUNtip5QuCsCKeqgh42kKwK/DMXrhpArAII1SEY/fCsCbvZFI6xkLwKCdmYL1UwvA5yYyI62NC8Dsuz+PEccLwKRGxCwiAAzADWXgYt44DMDKMdaZRXEMwF4HDDtXqQzAfesOsRLhDMBxdpJndxgNwAIpZsuETw3AQCpXSjqGDcAWCP9Sl7wNwI+us1Sb8g3AlPLTv0UoDsDDcS8Gll0OwP6lIJuLkg7AVjRu8yXHDsBi3SuFZPsOwM42rMdGLw/Au1F+M8xiD8CszW9C9JUPwJ7AkW++yA/AB9g9Nyr7D8C52o2LmxYQwF8KE0dyLxDAe8pXDhlIEMC48zGij2AQwCzEIMTVeBDALjpANuuQEMAZ4DC7z6gQwIGIBhaDwBDAtX5hCgXYEMDXFaNcVe8QwOs2BNJzBhHAYGmHMGAdEcDi+eQ+GjQRwOAdf8ShShHAAE1cifZgEcACNSVWGHcRwNzMI/QGjRHA1vNCLcKiEcApRg7MSbgRwFhEspudzRHA1hX8Z73iEcAO31j9qPcRwBX+0ShgDBLAerwBuOIgEsBZXvx4MDUSwD2QODpJSRLAhGybyixdEsCnf6v52nASwMN1spdThBLAM++1dZaXEsC4tmNlo6oSwH5WBDl6vRLAbqp1wxrQEsBAgSnYhOISwMQeJku49BLAPrkH8bQGE8BXHgKfehgTwLrx4ioJKhPAx+cTa2A7E8BpmJw2gEwTwKQkImVoXRPAGNXgzhhuE8BtCppMkX4TwOBwfLfRjhPAg8Ul6dmeE8DGvdG7qa4TwA3xhgpBvhPA42QZsZ/NE8AMGhiMxdwTwEYlvniy6xPApr7rVGb6E8B/+SP/4AgUwBqNjFYiFxTAwQfuOiolFMApaLSM+DIUwJmc7yyNQBTAFfFT/edNFMDyADrgCFsUwCIGnbjvZxTAdukTapx0FMAvHcDYDoEUwOG6MulGjRTAqnthgESZFMB73smDB6UUwGpJotmPsBTArCblaN27FMCLnj4Z8MYUwM8Z+tLH0RTAsy34fmTcFMCJgqoGxuYUwElcElTs8BTAwYHAUdf6FMAIndXqhgQVwCH2Agv7DRXAQ4CLnjMXFcAmt0SSMCAVwO2gltPxKBXAgwl4UHcxFcCm62H3wDkVwDuSN7fOQRXAS7I1f6BJFcChsws/NlEVwCznEeePWBXAHzBiaK1fFcA8Tcy0jmYVwBUxxL4zbRXAxi5YeZxzFcD8Bi7YyHkVwNZBg8+4fxXAZ+YuVGyFFcBdrqNb44oVwDJw8tsdkBXAzXjMyxuVFcASxYUi3ZkVwNs2FthhnhXAaqgX5amiFcC/R7xCtaYVwCXFuOqDqhXAmJot1xWuFcBVwLICa7EVwEarimiDtBXAKlrEBF+3FcArHDTU/bkVwOPLXtRfvBXAuVxrA4W+FcDh0RtgbcAVwEc1yukYwhXATjxnoIfDFcCpiHmEucQVwLo2HZeuxRXADZID2mbGFcA90XJP4sYVwE9TRfogxxXAELjm3SLHFcC74kr+58YVwCev2V9wxhXATX5UB7zFFcCGFNX5ysQVwOj4+TydwxXAdc4R1zLCFcBl8BzPi8AVwO+kuSyovhXAoiYU+Ie8FcAnAN85K7oVwKJ8UPuRtxXAWHwiRry0FcAWSZMkqrEVwP73ZqFbrhXAnCfpx9CqFcDb++6jCacVwGzn2EEGoxXAig+TrsaeFcDN3ZD3SpoVwHpoviqTlRXA+zJoVp+QFcDVRjKJb4sVwCFfPdIDhhXANPlaQVyAFcCZeBvneHoVwMdtvtRZdBXAaS4iHP9tFcAvk7vPaGcVwGR/kwKXYBXA+dpGyIlZFcAVgQc1QVIVwAlunV29ShXAieNnV/5CFcCBl144BDsVwFVpEhfPMhXAg9isCl8qFcBthesqtCEVwI2qEpDOGBXA4OvTUq4PFcAngTuMUwYVwNz/xlW+/BTAKoWZye7yFMBE05IC5egUwPKEQRyh3hTAn/nOMiPUFMCS7vJia8kUwBv57cl5vhTAcGiHhU6zFMCtnQy06acUwI7pUHRLnBTAlu6t5XOQFMDDDgQoY4QUwK35ulsZeBTA3I7BoZZrFMCs34ob214UwL0PBOvmURTA9UN+MrpEFMCUuJcUVTcUwDYvR7S3KRTAwnwPNeIbFMBcLiO71A0UwH1KX2uP/xPAYDw4axLxE8CATK3gXeITwEDJQ/Jx0xPAT3AGx07EE8AVjIaG9LQTwLcL3lhjpRPAn6yxZpuVE8AiaTPZnIUTwNrdJNpndRPAnPPYk/xkE8CPhjMxW1QTwLCSot2DQxPA1AAMxXYyE8DtwrQTNCETwCJ2QPa7DxPA4jnemQ7+EsC+U3UsLOwSwNiIp9wU2hLAy2692cjHEsDHDZZTSLUSwFRhnnqTohLAZPzNf6qPEsCYdqWUjXwSwP3FLes8aRLA+9r3tbhVEsDpaBwoAUISwDGRO3UWLhLAQI980fgZEsBUhItxqAUSwEujkool8RHALDEpUnDcEcCfjTj+iMcRwNF58MRvshHAmAHp3CSdEcC3f1R9qIcRwKMnDN76cRHAQYh+NxxcEcAlLJ3CDEYRwGcR07jMLxHAQdYAVFwZEcD6AHzOuwIRwFKRD2Pr6xDA8gL9TOvUEMB7Fv7Hu70QwJGHRhBdphDADPaFYs+OEMAR1Oj7EncQwI3IFRooXxDATy4i+w5HEMDJjHvdxy4QwPOf1v9SFhDA+keQQmH7D8A+UfcCwskPwFYBnMHIlw/AE5uEAHZlD8C7IOFCyjIPwJb39gzG/w7A2Uga5GnMDsDI3a1OtpgOwIv4JNSrZA7A8a4G/UowDsCQe/BSlPsNwEkJmWCIxg3AklLSsSeRDcBg2YnTclsNwEtNwlNqJQ3AxOR+wQ7vDMCRvJWsYLgMwDl1f6VggQzA0gZqPQ9KDMB0sZsGbRIMwMNRuJR62gvAY9qyfDiiC8B0zqJUp2kLwGIAprPHMAvACa/RMZr3CsBxkCtoH74KwOZqp/BXhArAkUAlZkRKCsA9rnBk5Q8KwCjJQIg71QnAYLo3b0eaCcDwgOK3CV8JwGu7swGDIwnA/Cnz7LPnCMDVyJYanasIwBviDiw/bwjAN0VCw5oyCMBkNueCsPUHwBnm3A6BuAfAx00yDA17B8DchQAhVT0HwIuLS/RZ/wbAGsH0LRzBBsDsxrZ2nIIGwLaNJnjbQwbAm0m23NkEBsA7ZLlPmMUFwMloaH0XhgXA4SbmElhGBcDuLEO+WgYFwMmWfi4gxgTACDB9E6mFBMACiesd9kQEwFnSDP8HBATAFv2kaN/CA8B6gz4NfYEDwGkAkaDhPwPAyxKd1w3+AsCzF4poArwCwE9PggrAeQLA1zaedUc3AsCf99timfQBwK4BHIy2sQHAzbsfrJ9uAcBcVYh+VSsBwHHy1r/Y5wDAbNhrLSqkAMB0vIWFSmAAwBDUPoc6HADAMuQD5fWv/7+DfN4PGSf/vyZqURHgnf6/qDxUbEwU/r9bseakX4r9v8uY4EAbAP2/v6dRyIB1/L8rBU7Fker7v5tOnMNPX/u/9f+DULzT+r/Hvrf62Ef6v3vJTFKnu/m/jdi66Cgv+b+setxQX6L4v2Qh8h5MFfi/9w+m6PCH979n2BBFT/r2v988usxobPa//KuRGT/e9b/5t8fG00/1v+W8eXAowfS/Vd1Wsz4y9L8qQsksGKPzv303xXu2E/O/hqlcQRuE8r+jpq0gSPTxvwcmlr4+ZPG/vymAwQDU8L9uFUvRj0Pwv3mRjy7bZe+/ggZyfDdE7r9JMq7kNyLtv4w4qMLf/+u/aFy9dDLd6r+qv0xcM7rpv2ewtd3llui/tMtFYE1z579ac/VNbU/mv1QnyRJJK+W/D373G+QG5L+tmM/XQeLiv5V/CLdlveG/XogdLlOY4L/fJrlqG+bev/EsepAxm9y/k2yaye9P2r+HXcoWXQTYv0Pu/HyAuNW/wsQ+BWFs07/gF5y8BSDRvztkEGjrps2/+62kAHANyb9qhiZ0p3PEv0pub/Y/s7+/tb8vq89+tr8AdgIlNZSqv9AKxwH1VJC/YC4l1q5+lD8cK+B3B6msP8/FETkuibc/NCc/QMdewD/m5trnw/jEP8pPNKl+ksk/k3yWE+krzj/koYBYemLRPyTQU4PJrtM/zUSGytr61T+eAwDspkbYPxwRO6Mmkto/", 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", 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", 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", 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", 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i: 22.25°
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ω: 81.81°", + "line": { + "color": "rgba(144, 167, 209, 0.7)", + "width": 3 + }, + "meta": { + "kind": "Centaur" + }, + "mode": "lines", + "name": "Obj-00", + "showlegend": false, + "type": "scatter3d", + "x": { + "bdata": 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i: 55.61°
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ω: 199.65°", + "line": { + "color": "rgba(144, 167, 209, 0.7)", + "width": 3 + }, + "meta": { + "kind": "JFC" + }, + "mode": "lines", + "name": "Obj-01", + "showlegend": false, + "type": "scatter3d", + "x": { + "bdata": 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i: 38.63°
Ω: 349.45°
ω: 22.97°", + "line": { + "color": "rgba(144, 167, 209, 0.7)", + "width": 3 + }, + "meta": { + "kind": "Centaur" + }, + "mode": "lines", + "name": "Obj-02", + "showlegend": false, + "type": "scatter3d", + "x": { + "bdata": 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i: 26.60°
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ω: 227.40°", + "line": { + "color": "rgba(144, 167, 209, 0.7)", + "width": 3 + }, + "meta": { + "kind": "MBA" + }, + "mode": "lines", + "name": "Obj-04", + "showlegend": false, + "type": "scatter3d", + "x": { + "bdata": 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(%{customdata[1]})", + "marker": { + "color": "rgba(255,255,255,0.9)", + "size": 3.5 + }, + "meta": { + "kind": "epoch" + }, + "mode": "markers", + "showlegend": false, + "text": [ + "Obj-00", + "Obj-01", + "Obj-02", + "Obj-03", + "Obj-04" + ], + "type": "scatter3d", + "x": { + "bdata": "eZjBuvfIDEAyzzr0H3gUwH8khKGS0RxAZkvQ3mXlG0DgPmryrWQAQA==", + "dtype": "f8" + }, + "y": { + "bdata": "WkkNMrV6IUDxP553kPEUQOx2LTHgXg1AlaIyulmvDsAgcpMOk3jxPw==", + "dtype": "f8" + }, + "z": { + "bdata": "N4p1d9ps+j+9ToUmzwH0P/hlDrxhgg9Ar7ZGo9Hq+D+0i7J0sLbxPw==", + "dtype": "f8" + } + }, + { + "hovertext": "Sun", + "marker": { + "color": "yellow", + "size": 6 + }, + "mode": "markers", + "showlegend": false, + "type": "scatter3d", + "x": [ + 0 + ], + "y": [ + 0 + ], + "z": [ + 0 + ] + } + ], + "layout": { + "autosize": true, + "font": { + "color": "white" + }, + "margin": { + "b": 0, + "l": 0, + "r": 0, + "t": 40 + }, + "paper_bgcolor": "rgba(0,0,0,0)", + "plot_bgcolor": "rgba(0,0,0,0)", + "scene": { + "aspectmode": "data", + "camera": { + "center": { + "x": 0, + "y": 0, + "z": -0.25 + } + }, + "xaxis": { + "gridcolor": "rgba(255, 255, 255, 0.02)", + "showbackground": false, + "title": { + "text": "X [AU]" + }, + "zerolinecolor": "rgba(255, 255, 255, 0.4)" + }, + "yaxis": { + "gridcolor": "rgba(255, 255, 255, 0.02)", + "showbackground": false, + "title": { + "text": "Y [AU]" + }, + "zerolinecolor": "rgba(255, 255, 255, 0.4)" + }, + "zaxis": { + "gridcolor": "rgba(255, 255, 255, 0.02)", + "showbackground": false, + "title": { + "text": "Z [AU]" + }, + "zerolinecolor": "rgba(255, 255, 255, 0.4)" + } + }, + "template": {} + } + } + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig3d = plotly_3D(\n", + " lines,\n", + " conic,\n", + " orbit_pos=orbit_pos,\n", + " planet_lines=planet_lines_cache[key],\n", + " planet_id=planet_id,\n", + " plot_sun=True,\n", + " show_plane=True,\n", + " return_fig=True,\n", + ")\n", + "fig3d" + ] + }, + { + "cell_type": "markdown", + "id": "9a2957ed", + "metadata": {}, + "source": [ + "## 5) Parabolic & hyperbolic orbits\n", + "\n", + "Parabolic and hyperbolic orbits are naturally handelled by Layup Visualize in the exact same way as any other regular orbit. The only difference is we set a maximum distance that we draw the parabolae/hyperbolae out to, which the user can alter if they want to see more or less of the trajectory" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "9da31523", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "Mercury", + "line": { + "color": "rgba(190,190,190,0.95)", + "width": 2.2 + }, + "meta": { + "kind": "Planet" + }, + "mode": "lines", + "name": "Mercury", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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e: 1.4071
i: 29.34°
Ω: 73.56°
ω: 349.22°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-00", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 1.4071
i: 29.34°
Ω: 73.56°
ω: 349.22°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-00", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 2.8163
i: 7.13°
Ω: 341.77°
ω: 87.69°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-01", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 2.8163
i: 7.13°
Ω: 341.77°
ω: 87.69°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-01", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 5.7201
i: 45.58°
Ω: 233.47°
ω: 173.28°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-02", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 5.7201
i: 45.58°
Ω: 233.47°
ω: 173.28°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-02", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 2.9019
i: 54.22°
Ω: 304.11°
ω: 105.26°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-03", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 2.9019
i: 54.22°
Ω: 304.11°
ω: 105.26°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-03", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 5.0662
i: 33.28°
Ω: 287.07°
ω: 170.76°", + "line": { + "color": "rgba(144,167,209,0.7)", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-04", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 5.0662
i: 33.28°
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np.clip(rng.normal(5.0, 2.5, size=N), 1.0, 10.0) # <-- keep it hyperbolic now\n", + "orbits[\"inc\"] = rng.uniform(0, 60, size=N)\n", + "orbits[\"argPeri\"] = rng.uniform(0, 360.0, size=N)\n", + "orbits[\"node\"] = rng.uniform(0, 360.0, size=N)\n", + "orbits[\"t_p_MJD_TDB\"] = float(58000.0)\n", + "\n", + "# --- build lines again, but set a maximum render distance of 60 au ---\n", + "conic_cache, lines_cache, sunpos_cache, pos_cache = prepopulate_orbit_variants(\n", + " orbits,\n", + " orbit_format=\"COM\",\n", + " input_plane=\"ecliptic\",\n", + " input_origin=\"heliocentric\",\n", + ")\n", + "\n", + "planet_names = [\"Mercury\", \"Venus\", \"Earth\", \"Mars\", \"Jupiter\", \"Saturn\", \"Uranus\", \"Neptune\"]\n", + "planet_lines_cache, planet_id = build_planet_lines_cache(\n", + " ephem,\n", + " epochJD_center,\n", + " planet_names=planet_names,\n", + " n_points=900,\n", + ")\n", + "\n", + "key = (\"helio\", \"ecl\")\n", + "conic = conic_cache[key]\n", + "orbit_pos = pos_cache[key]\n", + "sun_xyz = sunpos_cache[key]\n", + "\n", + "lines = conic_lines_from_classical_conic(conic, n_points=400, r_max=60)\n", + "\n", + "# --- draw 2d plot ---\n", + "fig2d = plotly_2D(\n", + " lines,\n", + " conic,\n", + " orbit_pos=orbit_pos,\n", + " planet_lines=planet_lines_cache[(\"helio\", \"ecl\")],\n", + " planet_id=planet_id,\n", + " plot_sun=True,\n", + " panels=(\"XY\", \"XZ\"),\n", + " return_fig=True,\n", + ")\n", + "fig2d" + ] + }, + { + "cell_type": "markdown", + "id": "95d55183", + "metadata": {}, + "source": [ + "Or again, equivalently in 3D" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "fce96344", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hoverinfo": "skip", + "name": "ref-plane", + "opacity": 0.5, + "showscale": false, + "surfacecolor": { + "bdata": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 ", + "dtype": "f8", + "shape": "40, 40" + }, + "type": "surface", + "x": { + "bdata": 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", 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", + "dtype": "f8", + "shape": "40, 40" + }, + "z": { + "bdata": "                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 ", + "dtype": "f8", + "shape": "40, 40" + } + }, + { + "hovertemplate": "Mercury", + "line": { + "color": "rgba(190,190,190,0.95)", + "width": 5 + }, + "meta": { + "kind": "Planet" + }, + "mode": "lines", + "name": "Mercury", + "showlegend": false, + "type": "scatter3d", + "x": { + "bdata": 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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i: 29.34°
Ω: 73.56°
ω: 349.22°", + "line": { + "color": "rgba(144, 167, 209, 0.7)", + "width": 3 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-00", + "showlegend": false, + "type": "scatter3d", + "x": { + "bdata": 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i: 7.13°
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ω: 87.69°", + "line": { + "color": "rgba(144, 167, 209, 0.7)", + "width": 3 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-01", + "showlegend": false, + "type": "scatter3d", + "x": { + "bdata": 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i: 45.58°
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ω: 173.28°", + "line": { + "color": "rgba(144, 167, 209, 0.7)", + "width": 3 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-02", + "showlegend": false, + "type": "scatter3d", + "x": { + "bdata": 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i: 54.22°
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ω: 105.26°", + "line": { + "color": "rgba(144, 167, 209, 0.7)", + "width": 3 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-03", + "showlegend": false, + "type": "scatter3d", + "x": { + "bdata": 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i: 33.28°
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@ MJD %{customdata[0]}
(%{customdata[1]})", + "marker": { + "color": "rgba(255,255,255,0.9)", + "size": 3.5 + }, + "meta": { + "kind": "epoch" + }, + "mode": "markers", + "showlegend": false, + "text": [ + "Obj-00", + "Obj-01", + "Obj-02", + "Obj-03", + "Obj-04" + ], + "type": "scatter3d", + "x": { + "bdata": "JhFoF7dJMsAT79OPfg86wO22Zmc8NzvAyywTiEP/PMAEajTMYOpCwA==", + "dtype": "f8" + }, + "y": { + "bdata": "PD63nBBuFkB4kApNpBwoQOKoRleZ/jdAVLiQb91JN0D9CZaIoeEXwA==", + "dtype": "f8" + }, + "z": { + "bdata": "MUHuYgaBJUBFOzWWbW3aPwkJaKJycULAT54tLQBkLsAX7z8lJ+I4wA==", + "dtype": "f8" + } + }, + { + "hovertext": "Sun", + "marker": { + "color": "yellow", + "size": 6 + }, + "mode": "markers", + "showlegend": false, + "type": "scatter3d", + "x": [ + 0 + ], + "y": [ + 0 + ], + "z": [ + 0 + ] + } + ], + "layout": { + "autosize": true, + "font": { + "color": "white" + }, + "margin": { + "b": 0, + "l": 0, + "r": 0, + "t": 40 + }, + "paper_bgcolor": "rgba(0,0,0,0)", + "plot_bgcolor": "rgba(0,0,0,0)", + "scene": { + "aspectmode": "data", + "camera": { + "center": { + "x": 0, + "y": 0, + "z": -0.25 + } + }, + "xaxis": { + "gridcolor": "rgba(255, 255, 255, 0.02)", + "showbackground": false, + "title": { + "text": "X [AU]" + }, + "zerolinecolor": "rgba(255, 255, 255, 0.4)" + }, + "yaxis": { + "gridcolor": "rgba(255, 255, 255, 0.02)", + "showbackground": false, + "title": { + "text": "Y [AU]" + }, + "zerolinecolor": "rgba(255, 255, 255, 0.4)" + }, + "zaxis": { + "gridcolor": "rgba(255, 255, 255, 0.02)", + "showbackground": false, + "title": { + "text": "Z [AU]" + }, + "zerolinecolor": "rgba(255, 255, 255, 0.4)" + } + }, + "template": {} + } + } + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig3d = plotly_3D(\n", + " lines,\n", + " conic,\n", + " orbit_pos=orbit_pos,\n", + " planet_lines=planet_lines_cache[key],\n", + " planet_id=planet_id,\n", + " plot_sun=True,\n", + " show_plane=True,\n", + " return_fig=True,\n", + ")\n", + "fig3d" + ] + }, + { + "cell_type": "markdown", + "id": "0b154ba2", + "metadata": {}, + "source": [ + "## 6) (Optional) Altering the look of the figure\n", + "Layup Visualize supplies a default figure look via some internal CSS styling. Some users may have their own artistic idea in mind however for how they want orbits to look, so we give an example below on how you can use Plotly's inbuilt methods to update and decorate your plots to your hearts content. Have a look at [the Plotly documentation](https://plotly.com/python/reference/) for more information on what you can change and how to do it" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "88f60be7", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "Mercury", + "line": { + "color": "red", + "width": 2.2 + }, + "meta": { + "kind": "Planet" + }, + "mode": "lines", + "name": "Mercury", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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btj+p9oqBTQq2PxCjfH6vOLU/ko3rCopmtD90aWVb4pOzP2iWVKq9wLI/kuuhNyHtsT+b00RIEhmxP29zJyaWRLA/LMDBPmTfrj9XKjAM1zStP1e6I2CPias/doSe7JfdqT8bYFdp+zCoPwuz9ZLEg6Y/q5MqKv7VpD9KX3XzsiejP80YkbXteKE/oPhxcnKTnz9qpoOQQDScP6/xq1lb1Jg/ndNjYdhzlT+N7n04zRKSP2v6bdmeYo0/AfQqC+mehj9jY/gPSLV/P0fMxYH1K3I/zKEXmcCIUj8LvrDqZM9hv+rqJPhccXa/G29vHz39gb/vjxK0WsGIv4Pt4+rchI+/MSzczMwjk798Gwlfs4SWv9WG7D8N5Zm/LZJImsVEnb9M5PXX41Ggvy20TW7/AKK/pEYjS6uvo7/BSkY33V2lv9Fa/AmLC6e/Psebqaq4qL9+TSMMMmWqv/vK8DcXEay/kPnJQ1C8rb9rdzdY02avv+Nhw1dLiLC/uts5S8hcsb/aKla22zCyv2iMqNKABLO/aq/J47LXs7973FM3baq0v3ThgiWrfLW/Ln4pEWhOtr8LVflnnx+3vwcduKJM8Le/TfRyRWvAuL8AXcDf9o+5v1yOrQzrXrq/kopPc0Mtu7+6jqzG+/q7vxiK9sUPyLy/xhizPHuUvb/omeECOmC+v2+QL/1HK7+/JC7aHKH1v795BhiwoF/Av+tvN2kSxMC/njf4xSMowb9FwSLZ0ovBv8R7J7wd78G/+YUqjwJSwr+cRxZ5f7TCv1XjhaeSFsO/+mL9Tjp4w78dXNKqdNnDvxYYO/0/OsS/twNVj5qaxL/mSiqxgvrEv9E9vrn2WcW/v9vyBvW4xb+UwLn9exfGv7IM+AmKdca//rKPnh3Txr9+ZGA1NTDHv8TAR0/PjMe/riQodOrox79cEMoyhUTIv6tdBiGen8i/lTem2zP6yL/OPmcGRVTJvwWs90vQrcm/j9PxXdQGyr/bGd70T1/Kv8IPEdBBt8q/UpfPtagOy78Iyytzg2XLv9q+BNzQu8u/Zab+yo8RzL+renohv2bMv2Ejjcddu8y/fNj8q2oPzb+rkxzE5GLNvysi6gvLtc2/C6TohRwIzr+yQxw72FnOv1bO/jr9qs6/xe1zm4r7zr9WY8N4f0vPvyITc/Xams+/i4ZgOpzpz7+3Hk074RvQv6ZYrG+mQtC/mlT4Vx1p0L/6pOKURY/Qv671H8oetdC/M8ZUnqja0L/6OCC74v/Qv9yJCM3MJNG/TJF2g2ZJ0b+QJ66Qr23Rv21yxqmnkdG/dPSkhk610b9FWOrho9jRv2+b+3in+9G/x6zuC1ke0r8CQoVduEDSvzLFJDPFYtK/NDfOVH+E0r+vCBaN5qXSv3iLHqn6xtK/rTKFeLvn0r9GL2rNKAjTv8CYXXxCKNO/3NBZXAhI07/JPbtGemfTv2oDOBeYhtO/fS7aq2Gl07+WoO3k1sPTv1mMBqX34dO/IFnv0MP/079U36JPOx3Uv+0wRApeOtS/1mcW7CtX1L9wvXbipHPUvwxWy9zIj9S/UMmIzJer1L9B8SClEcfUvwQr/Vs24tS/gVh26AX91L857cxDgBfVv5UZI2mlMdW/0ZxsVXVL1b/AfHMH8GTVv0vkx38VftW/z4m6wOWW1b83ClXOYK/Vv89SUq6Gx9W/WRoXaFff1b9WRqwE0/bVv9kKsI75Dda/d9NZEssk1r+udmudRzvWv0XkKz9vUda/yAFgCEJn1r+emEMLwHzWv0IDhFvpkda/DYQyDr6m1r/zjMc5PrvWv9AtFfZpz9a/IRJCXEHj1r/z3cKGxPbWv66dU5HzCde/VsfymM4c178D0tS7VS/XvyzoZhmJQde/sJhC0mhT17+OLCkI9WTXv42L/d0tdte/dzS+dxOH17+RmID6pZfXvx73ZYzlp9e/QoGdVNK317+rT1l7bMfXv80Tyim01te/f4YZiqnl17976mTHTPTXv3eitw2eAti/oPUGip0Q2L8CWyhqSx7Yv8H+0tynK9i/SCeWEbM42L8HTtU4bUXYvw8qw4PWUdi/1s1cJO9d2L95xWVNt2nYv6OdXzIvddi/096KB1eA2L/ErN4BL4vYvy02BVe3ldi/uUJXPfCf2L9w09fr2anYvz6WMJp0s9i/oJ+qgMC82L+b2i7YvcXYv0XZPtpszti/vJXxwM3W2L8Jfe/G4N7Yvy+Lbiem5ti/7g0vHh7u2L9ZhnXnSPXYv3OLCsAm/Ni/rMA05bcC2b9b4bWU/AjZv3VAxwz1Dtm/klgWjKEU2b97a8FRAhrZv4eWVJ0XH9m/4/fEruEj2b8L7G/GYCjZv4dFFiWVLNm/C6TZC38w2b9xbzm8HjTZv1HhD3h0N9m/TViPgYA62b8Iiz4bQz3ZvwAy94e8P9m/qEriCu1B2b9eqHXn1EPZv6hRcWF0Rdm/rurcvMtG2b/LPwU+20fZvx95eSmjSNm/BS4JxCNJ2b+apsFSXUnZv6ie6xpQSdm/TPwIYvxI2b+bktJtYkjZv5jbNYSCR9m/hh9T61xG2b9973rp8UTZv45YLMVBQ9m//9ASxUxB2b/ZPwQwEz/Zvx0P/0yVPNm/z0goY9M52b/8fcm5zTbZvyz1T5iEM9m/1nNJRvgv2b88dmMLKSzZv2ZEaS8XKNm//EtC+sIj2b+jg/CzLB/ZvylyjqRUGtm/6zVPFDsV2b/1sXpL4A/ZvwWdbZJECtm/N7KXMWgE2b+qSnpxS/7Yv9D/ppru99i/bsy99VHx2L8W4W3LderYv3E0cWRa49i/ql2NCQDc2L/I2pEDZ9TYvzvjVpuPzNi/CUK8GXrE2L/diqfHJrzYv4WwBe6Vs9i/HvjF1ceq2L8ZlNvHvKHYv6T6Ow11mNi/xerd7vCO2L8FeLi1MIXYv80cwqo0e9i/AQDvFv1w2L85XDNDimbYvyvAfXjcW9i/03i5//NQ2L+P9Mwh0UXYv6T6mCd0Oti/iuj3Wd0u2L84AbwBDSPYvzKAsmcDF9i/5z6d1MAK2L91yTWRRf7Xv17IK+aR8de/mF4kHKbk17+sjLl7gtfXv8CFeE0nyte/CmXl2ZS817/ROXRpy67Xv629jETLoNe/CsGIs5SS178dq7P+J4TXv0v+SW6Fdde/Zq93Sq1m17+ydFzbn1fXv886BGldSNe/lnNrO+Y4179mgn2aOinXv8hZFM5aGde/5Rz4HUcJ17/vxN7R//jWv2l3ajGF6Na/UnouhNfX1r/K/6YR98bWv0IZPiHktda/PyBK+p6k1r9qcQ3kJ5PWv9MqtiV/gda/xX5cBqVv1r8jMAjNmV3Wvx3Np8BdS9a/AioWKPE41r99xBhKVCbWv92UX22HE9a/KuKE2IoA1r93jwvSXu3Vv+oYZaAD2tW/OUHoiXnG1b+TDNfUwLLVv7IcXcfZntW/dZWPp8SK1b/zA227gXbVv6uk20gRYtW/LtqvlXNN1b8vUaLnqDjVv610VoSxI9W/VsFYsY0O1b/puh60PfnUv+vjBtLB49S/iLdYUBrO1L/N5UJ0R7jUv3ZN4oJJotS/s4c3wSCM1L8r3y10zXXUv76XmeBPX9S/ovQ3S6hI1L9lQK/41jHUv2b/jC3cGtS/kVVNLrgD1L+vEVA/a+zTvw4Q4KT11NO/Z3cxo1e90792y2F+kaXTvzsBeHqjjdO/Bqdi2411078jsP/kUF3Tv0AEEdvsRNO/6EdEAWIs07/PDTGbsBPTv1z0WOzY+tK/lMQnONvh0r8ej/HBt8jSv0PY+sxur9K/GbBsnACW0r8r21xzbXzSv9z3y5S1YtK/YKWlQ9lI0r/zq8DC2C7Sv18m31S0FNK/8JGsPGz60b/iYca8AODRv1KVrxdyxdG/NUfZj8Cq0b/SxaBn7I/RvxzDT+H1dNG/C4YcP91Z0b9B7yfDoj7Rvz9hhq9GI9G/vOkyRskH0b+PJhjJKuzQv+ZQDnpr0NC/vHTbmou00L8iqTNti5jQv10JtzJrfNC/I+36LCtg0L9Zqnydy0PQv/TJqsVMJ9C/Ggfj5q4K0L+QGeWE5NvPv2RoLDMuos+/MeXwWjtoz78OuXV+DC7Pv74K0R+i886/ov7+wPy4zr9Snd3jHH7Ov8hZLQoDQ86/zZiRta8Hzr/8OZFnI8zNvy9akqFekM2/Yfrt5GFUzb/I6tOyLRjNv2VrXozC28y/R/iN8iCfzL+K2klmSWLMv666YGg8Jcy/zU2Eefrny7/Wfl0ahKrLvyCsb8vZbMu/gsosDfwuy7+YG/Ff6/DKvz/HA0Sossq/FnaXOTN0yr+o6sXAjDXKvyqkpFm19sm/KXknhK23yb+UNDXAdXjJvw43o40OOcm/9xc2bHj5yL9KR6Lbs7nIv8STh1vBeci/qD6Ga6E5yL9c/iCLVPnHv9wM0jnbuMe/SrUG9zV4x7+/+x9CZTfHv+VFc5pp9sa/nARLf0O1xr/fJeJv83PGvymfeet5Msa/IdA5cdfwxb8UCEiADK/Fv7b+wZcZbcW/4IK+Nv8qxb9HKk7cvejEvxuzdgdWpsS/gO1IN8hjxL/4ncHqFCHEv1Ni36A83sO/", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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", 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G2b8BYfffzlDZv3E1LHzxWtm/DDs9xsBk2b8dglSEPG7Zv0bZZYNkd9m/rbcCijiA2b9+uPdbuIjZv/SRfMDjkNm/F7DsgbqY2b8VzUltPKDZv+0TNlRpp9m/EkBWEUGu2b8loHV9w7TZv4XYg2rwutm/Sd9gq8fA2b8OaUQUScbZv3exmnl0y9m//jmcsEnQ2b9dGjaUyNTZv8JDQQHx2Nm/UQpQy8Lc2b9E9JTEPeDZv1kzm8Fh49m/rnbpmC7m2b+MelcjpOjZv4w05j/C6tm/c2D01Yjs2b+Tx+DH9+3Zv9gaSPUO79m/nB4/Qc7v2b+T3b2RNfDZv/uwqs5E8Nm/qxxC4/vv2b9gbnPCWu/Zv11bzFxh7tm/xJ1rmg/t2b8rtkVjZevZv5+KT6Bi6dm/a23hOgfn2b/uRq4dU+TZv7js9DlG4dm/vgr9hODd2b/t1FnsIdrZv0nBTV0K1tm/bDPOyJnR2b+6jPEi0MzZv7tz3WKtx9m/gKoAhjHC2b8Fz4CSXLzZv6zFq4kuttm/5J+6aKev2b/LsiMvx6jZv5DK992Nodm/+BLcdvuZ2b9YfWv9D5LZv4l4F3zLidm/O6Z5+y2B2b/T+at7N3jZvzPGHf3nbtm/lodxgj9l2b/WCRoQPlvZv7GxQ63jUNm/c1DMaDBG2b8KSYtXJDvZv7CKxoe/L9m/JyWrBwIk2b+3/2Lp6xfZvy3/I0J9C9m/o2OcKbb+2L9gf4i8lvHYvx9ZYh8f5Ni/p2YGcU/W2L+trFvKJ8jYvyDNRUWoudi/42yU/NCq2L9oNHYLopvYvysBMo8bjNi/xzqZrD182L/RR6mICGzYv/J6/kB8W9i/rgSx9JhK2L900XLGXjnYv1gE+dvNJ9i/wB99XuYV2L/PCSx/qAPYv92Y9nUU8de/D6owdCre17/3Se6p6srXvy6gLkpVt9e/IOyyiWqj17/+4TeeKo/XvyK63sCVete/aQyfMaxl179fGdYqblDXv6yWS+DbOte/PkQIh/Uk179v9OpVuw7XvxL2ZIUt+Na/sxsuUUzh1r//8cL9F8rWv4bU5dGQsta/zqHRDbea1r/BJa/zioLWv6gWtMkMata/ctcl2TxR1r8l6k5uGzjWv9XtTNyoHta/kvdlfOUE1r/edh+g0erVv5dgvpVt0NW/VHIHrbm11b+kdnk2tprVv6OM64Jjf9W/00NC5sFj1b/OidG70UfVv6z38FqTK9W/u/oYFQcP1b8FWys+LfLUvyIiOi0G1dS/TTcXPJK31L8wDZ7I0ZnUvxN+3DnFe9S/5z02+mxd1L9Q9TltyT7Uv47MdPfaH9S/4lyKAKIA1L/6feHxHuHTv6YlRjZSwdO/5kNzPTyh078KmWR83YDTv58jo182YNO/VHRkT0c/07/hBk21EB7Tv7hjRPyS/NK/bZhqkM7a0r+PrNLhw7jSvwngVGlzltK/947Hnd1z0r8ZJb7wAlHSv9WB0tbjLdK/1c5UyIAK0r/EQXJA2ubRv+7V6L3wwtG/zmixx8Se0b/STMDnVnrRv9qcq5+nVdG/EMIDcLcw0b/fh9TahgvRvzWai2IW5tC/q6rjiWbA0L/M9LPXd5rQvwJIkNhKdNC//jyQEeBN0L8S+doDOCfQv4HKFjNTANC/jI/SSmSyz7+6upXGqmPPv4oqr/N6FM+/IuRA/9XEzr/lIKcUvXTOvzjlyFMxJM6/cdo34TPTzb/EDTznxYHNv6vjT5PoL82/qEOiFp3dzL9bOuuu5IrMv0yUCp7AN8y/UAxREjLky7/3Ozw1OpDLv9dpXjLaO8u/ImdMNhPnyr/qgjNv5pHKv8yOqRRVPMq/4oSubGDmyb9OmYuxCZDJv3xDqhZSOcm/Qjzr1TriyL87MFMvxYrIvxhC4mfyMsi/lo34zMPax7902YW9OoLHvxTtNJZYKce/05CjpB7Qxr+Itjw3jnbGvzbQo56oHMa/NkNYK2/Cxb9JR4Mu42fFvwTnawMGDcW/r8AiCtmxxL+k8JCPXVbEv3lHGNyU+sO/9aD7O4Cew7/Va63+IELDv/mSOXd45cK/RJVWA4iIwr86JTMRUSvCv2bhPAXVzcG/ZmoRPBVwwb8W4NwXExLBv5gcd//Ps8C/aahPXE1VwL/5kWk5Ge2/v9BMpnkeL7+/DpEraa1wvr8ct7vRyLG9v8Q9RXhz8ry/4AvlIrAyvL9ONU2WgXK7v3yX6Zjqsbq/7+DEBu7wub8NdNDLji+5v8XcYrLPbbi/JG/xfbOrt78LTBn9POm2v0K8dAdvJra/PArZfExjtb8HpPxQ2J+0v8L0oJcV3LO/9DbyTwcYs7/240JisFOyv9enCbsTj7G/3J4CSTTKsL/V5c34FAWwvwAe6nJxf66/iz9xIEX0rL/29Ev0qmirv7gltJio3Km/W2RCrkNQqL8RusbdgcOmv6di8tRoNqW/2v1BTP6oo7/ikcEsSBuivw+Zl4pMjaC/oeqFeSL+nb+uhpsUOOGav8YtDp7lw5e/FbWp6DamlL9mm2XXN4iRv8p6rQPp04y/S3dPz/KWhr+x/hZHpVmAvxM6qj8vOHS/1ekexAfzXr/bzVoLPftSP3YWUItWOnE/4Di5Aqa1fT+6pKEoRxiFPwA+nR5wVYs/IG/RthvJkD9/X0NYQ+eTP6GZJKEjBZc/5aLIKLEimj+Ckcpq4D+dP7krNMJSLqA/ToTeG3q8oT+zHJBjYEqjPzuyEtf/16Q/qZdUq1Jlpj/N0yIVU/KnP6KcH1D7fqk/DtHQjUULqz/Mt23WK5esP+RcAWeoIq4/LmZgxLWtrz8Jr908J5ywP8ShEIk2YbE/Wx2IDQYmsj/v5UwMk+qyPxhu6azarrM/8OjVEdpytD8XvByAjja1P9d+jj71+bU/c9uSiwu9tj8qpyehzn+3P+qGnbU7Qrg/3nR97U8EuT+yC31aCMa5P2YfzTNih7o/090nyFpIuz+48bRo7wi8P5lLvWsdybw/2cuDLuKIvT9DAY4LO0i+P93HnUclB78/Yt43PJ7Fvz9qP2Ky0UHAPzatJh6ZoMA/IsKrHCT/wD8hw+lncV3BPzPxY7Z/u8E/yvIHsU0Zwj+C15j82XbCP1CkAlAj1MI/xAZvZSgxwz/o/Cr1543DP8J9R7hg6sM/X6CUaZFGxD/80By/eKLEP40MxWcV/sQ/4xG0JmZZxT9KN0jNabTFPydxhy4fD8Y/xtA4H4Vpxj83UB52msPGP30nCAdeHcc/V2aYmM52xz8hVQj46s/HP1XrbwKyKMg/2s7EkyKByD/a+eKEO9nIP4keUa37MMk/paY34mGIyT8RWVDtbN/JP4voFpUbNso/wAQ3tWyMyj8UPsswX+LKPxxxXuzxN8s/AccN0CONyz+aNOfH8+HLP4V82LxgNsw/kzDYj2mKzD8snQU0Dd7MP3nA7alKMc0/TpOo8SCEzT+fsY0Kj9bNP72xrPOTKM4/3Vaspy56zj9gALYSXsvOPzSFLiUhHM8/iUEa4HZszz9C7rVEXrzPP8ThXynrBdA/+dqCBW8t0D+iX5s3ulTQPw9jsDzMe9A/yQEEkaSi0D9SYKe8QsnQPxPgr0ym79A/ucQ9z84V0T/9rffTuzvRP0kT1+tsYdE/+FOHpeGG0T9pUS2KGazRPxVZKCoU0dE/Jj/mG9H10T8TXbv0TxrSP5Bi30iQPtI/erIOrJFi0j8z1xOwU4bSP1zNB+DVqdI/3AAuyRfN0j/mrKUCGfDSP99QbSXZEtM/6WtNy1c10z/mQQeQlFfTPx3TERGPedM/FfwO6Uab0z+gZFixu7zTP0Umiw7t3dM/76Xnqdr+0z9TbZQshB/UP1aJ5T/pP9Q/nW88jQlg1D9IzsW65H/UPxkr8Gd6n9Q/IEoTOsq+1D8AbcTc093UP176svqW/NQ/00nlPRMb1T9N5MxQSDnVP4pBWt01V9U/74xkiNt01T9/M5v5OJLVPwXRJORNr9U/HFBW/hnM1T9Q+8j/nOjVP3r1/aHWBNY/EyG2n8Yg1j/eky6wbDzWP7RgfYfIV9Y/TRpf49ly1j/lGlWFoI3WPyJOly0cqNY/4C+Jm0zC1j/4VP2NMdzWP2TqkMDK9dY/ghAU6BcP1z8lfRq/GCjXP6kF4wfNQNc/mzEuhTRZ1z+zBnn6TnHXP0pRHC0cidc/7wJd45ug1z8eym7fzbfXP4465uWxztc/F3XOxkfl1z/2CANVj/vXP2xPhWOIEdg/LyjjxTIn2D+ghZhPjjzYP/Abk8+aUdg/gBLfD1hm2D/Sl/XixXrYPxI6/x7kjtg/J/qwmLKi2D80RBgkMbbYP8t1XJVfydg/V467vj3c2D8i7Npsy+7YP9sZ4HIIAdk/dG2CrfQS2T9Ye1j7jyTZP7J7cTzaNdk/Nfn3UtNG2T+Ry+Qhe1fZP7a8kIfRZ9k/Or/JYtZ32T8VOqSciYfZP1M8BSDrltk/+eWq1vql2T9VZsOpuLTZP+BfsoEkw9k/CgcoQj7R2T/VpWTJBd/ZP0REDv567Nk/XS3Dy5352T+K/t8dbgbaP9pmeODrEto/XkdFARcf2j89jsdt7yraP9EU/w51Nto/", 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", 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", 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", 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", 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", 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", 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e: 1.4071
i: 29.34°
Ω: 73.56°
ω: 349.22°", + "line": { + "color": "red", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-00", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 1.4071
i: 29.34°
Ω: 73.56°
ω: 349.22°", + "line": { + "color": "red", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-00", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 2.8163
i: 7.13°
Ω: 341.77°
ω: 87.69°", + "line": { + "color": "red", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-01", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 2.8163
i: 7.13°
Ω: 341.77°
ω: 87.69°", + "line": { + "color": "red", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-01", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 5.7201
i: 45.58°
Ω: 233.47°
ω: 173.28°", + "line": { + "color": "red", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-02", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 5.7201
i: 45.58°
Ω: 233.47°
ω: 173.28°", + "line": { + "color": "red", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-02", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 2.9019
i: 54.22°
Ω: 304.11°
ω: 105.26°", + "line": { + "color": "red", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-03", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 2.9019
i: 54.22°
Ω: 304.11°
ω: 105.26°", + "line": { + "color": "red", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-03", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 5.0662
i: 33.28°
Ω: 287.07°
ω: 170.76°", + "line": { + "color": "red", + "width": 1.5 + }, + "meta": { + "kind": "Hyperbolic" + }, + "mode": "lines", + "name": "Obj-04", + "showlegend": false, + "type": "scatter", + "x": { + "bdata": 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e: 5.0662
i: 33.28°
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"showline": true, + "tickfont": { + "color": "black" + }, + "title": { + "text": "X [AU]" + }, + "zeroline": false + }, + "yaxis": { + "anchor": "x", + "domain": [ + 0, + 1 + ], + "gridcolor": "lightgray", + "linecolor": "black", + "mirror": true, + "scaleanchor": "x", + "scaleratio": 1, + "showgrid": true, + "showline": true, + "tickfont": { + "color": "black" + }, + "title": { + "text": "Y [AU]" + }, + "zeroline": false + }, + "yaxis2": { + "anchor": "x2", + "domain": [ + 0, + 1 + ], + "gridcolor": "lightgray", + "linecolor": "black", + "mirror": true, + "showgrid": true, + "showline": true, + "tickfont": { + "color": "black" + }, + "title": { + "text": "Y [AU]" + }, + "zeroline": false + } + } + } + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig2d = plotly_2D(\n", + " lines,\n", + " conic,\n", + " orbit_pos=orbit_pos,\n", + " planet_lines=planet_lines_cache[(\"helio\", \"ecl\")],\n", + " planet_id=planet_id,\n", + " plot_sun=True,\n", + " panels=(\"XY\", \"XZ\"),\n", + " return_fig=True,\n", + ")\n", + "\n", + "# --- layout / background ---\n", + "fig2d.update_layout(\n", + " plot_bgcolor=\"grey\",\n", + " paper_bgcolor=\"grey\",\n", + ")\n", + "\n", + "# --- x-axes ---\n", + "fig2d.update_xaxes(\n", + " title_text=\"X [AU]\",\n", + " showgrid=True,\n", + " showline=True, # <-- draws axis spines top/right, plotly only draws bottom/left by default\n", + " mirror=True,\n", + " linecolor=\"black\",\n", + " gridcolor=\"lightgray\",\n", + " tickfont=dict(color=\"black\"),\n", + " zeroline=False,\n", + ")\n", + "\n", + "# --- y-axes ---\n", + "fig2d.update_yaxes(\n", + " title_text=\"Y [AU]\",\n", + " showgrid=True,\n", + " showline=True,\n", + " mirror=True, # <-- draws axis spines top/right, plotly only draws bottom/left by default\n", + " linecolor=\"black\",\n", + " gridcolor=\"lightgray\",\n", + " tickfont=dict(color=\"black\"),\n", + " zeroline=False,\n", + ")\n", + "\n", + "# --- style orbit lines + markers ---\n", + "fig2d.for_each_trace(\n", + " lambda tr: (\n", + " tr.update(line=dict(color=\"red\"))\n", + " if tr.mode == \"lines\"\n", + " and (\n", + " tr.meta is None or tr.meta.get(\"kind\") != \"planet\"\n", + " ) # <-- planets have a special internal tag so you can colour input objects separately\n", + " else None\n", + " )\n", + ")\n", + "\n", + "fig2d.update_traces(\n", + " selector=dict(mode=\"markers\"),\n", + " marker=dict(size=8, color=\"blue\"),\n", + ")\n", + "\n", + "\n", + "fig2d" + ] + }, + { + "cell_type": "markdown", + "id": "0886d6e4", + "metadata": {}, + "source": [ + "## 7) (Optional) Saving the figure\n", + "Plotly offers the ability to save the current frame, however you choose to orient, zoom, or pan the plot, as a png file via the camera button in the top right of the output. Alternatively, we have specified `return_fig=True` in `plotly_2D`/`plotly_3D`, which means we can make use of a Plotly feature to save to any format via the following (see the [Plotly documentation](https://plotly.github.io/plotly.py-docs/generated/plotly.io.write_image.html) for more info on this method, you may need to install external image exporting engines to properly utilise this method): " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "42d9da79", + "metadata": {}, + "outputs": [], + "source": [ + "fig2d.write_image(\"/foo/bar/baz/image.pdf\")\n", + "fig3d.write_image(\"/foo/bar/baz/image.pdf\")" + ] + }, + { + "cell_type": "markdown", + "id": "b82b41f4", + "metadata": {}, + "source": [ + "# 8) (Optional) Running the Dash app in a notebook\n", + "We've been mentioning running the Dash App in the web (i.e. in a window in your browser of choice) a lot so far, but it is possible to get the full interactivity of Layup Visualize in a Jupyter notebook cell. We've made a convenient wrapper funciton, `visualize_notebook` that essentially calls the CLI functions behind the scenes with either a string path to your input file, or a structured numpy array like we've been making for our toy models here. Let's call it here on another set of toy orbits: " + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "a3108eee", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "--input-origin not provided. Inferring heliocentric from input file format column FORMAT=KEP\n", + "--input-plane not provided. Inferring ecliptic for input file format column FORMAT=KEP\n", + "Requested 100 orbits, but only 5 orbits in input. Capping to 5\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + " \n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from layup.visualize import visualize_notebook\n", + "import numpy as np\n", + "\n", + "# --- toy dataset: 5 example orbits ---\n", + "rng = np.random.default_rng(8675309)\n", + "N = 5\n", + "dtype = [\n", + " (\"ObjID\", \"U32\"),\n", + " (\"epochMJD_TDB\", \"f8\"),\n", + " (\"a\", \"f8\"),\n", + " (\"e\", \"f8\"),\n", + " (\"inc\", \"f8\"),\n", + " (\"argPeri\", \"f8\"),\n", + " (\"node\", \"f8\"),\n", + " (\"ma\", \"f8\"),\n", + " (\"FORMAT\", \"U32\"),\n", + "]\n", + "\n", + "orbits = np.zeros(N, dtype=dtype)\n", + "orbits[\"ObjID\"] = [f\"Obj-{i:02d}\" for i in range(N)]\n", + "orbits[\"epochMJD_TDB\"] = float(61000.0)\n", + "orbits[\"a\"] = rng.uniform(1.5, 12.0, size=N)\n", + "orbits[\"e\"] = np.clip(\n", + " rng.normal(0.2, 0.15, size=N), 0.01, 0.85\n", + ") # <-- keep it elliptical for the sake of discussion, but could be hyperbolic\n", + "orbits[\"inc\"] = rng.uniform(0, 60, size=N)\n", + "orbits[\"argPeri\"] = rng.uniform(0, 360.0, size=N)\n", + "orbits[\"node\"] = rng.uniform(0, 360.0, size=N)\n", + "orbits[\"ma\"] = rng.uniform(0, 360, size=N)\n", + "orbits[\"FORMAT\"] = \"KEP\"\n", + "\n", + "visualize_notebook(orbits)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ea4236e3", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "layupnewviz", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/pyproject.toml b/pyproject.toml index 789341fa..a8ef9dde 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -23,7 +23,11 @@ dependencies = [ "tqdm", "sorcha @ git+https://github.com/dirac-institute/sorcha.git", "jax", - "scipy" + "scipy", + "plotly", + "dash", + "dash-daq", + "dash-ag-grid" ] [project.scripts] diff --git a/src/layup/dash_ui.py b/src/layup/dash_ui.py new file mode 100644 index 00000000..28da0132 --- /dev/null +++ b/src/layup/dash_ui.py @@ -0,0 +1,2061 @@ +import logging +from typing import Literal, Tuple, Optional, Any + +import numpy as np +from datetime import datetime, timedelta + +from layup.orbit_maths import ClassicalConic + +PANEL = Literal["XY", "XZ", "YZ"] + +PLANET_COLOURS_NIGHT = { + "Mercury": "rgba(190,190,190,0.95)", # silver + "Venus": "rgba(255,190,90,0.95)", # warm amber + "Earth": "rgba(90,210,255,0.95)", # cyan + "Mars": "rgba(255,90,90,0.95)", # red + "Jupiter": "rgba(255,165,120,0.95)", # salmon/orange + "Saturn": "rgba(255,230,150,0.95)", # pale gold + "Uranus": "rgba(120,255,210,0.95)", # mint + "Neptune": "rgba(185,120,255,0.95)", # purple +} + +PLANET_COLOURS_DAY = { + "Mercury": "rgba(90,90,90,0.95)", # dark gray + "Venus": "rgba(180,110,0,0.95)", # brown/orange + "Earth": "rgba(0,140,190,0.95)", # teal-blue + "Mars": "rgba(170,0,0,0.95)", # dark red + "Jupiter": "rgba(170,90,60,0.95)", # brown + "Saturn": "rgba(160,140,40,0.95)", # olive gold + "Uranus": "rgba(0,150,110,0.95)", # green-teal + "Neptune": "rgba(115,0,170,0.95)", # deep purple +} + +logger = logging.getLogger(__name__) + + +# --- set up plots --- +def add_reference_plane_xy(fig, lines: np.ndarray, planet_lines: np.ndarray, opacity: float = 0.10): + """ + Add the reference plane (either ecliptic or equatorial) to the 3D plot at Z=0 + + Parameters + ----------- + fig : object + Plotly figure object + + lines : numpy float array + Array of x,y,z coordinates of objects to be plotted + + lines : numpy float array + Array of x,y,z coordinates of planets to be plotted + + opacity : float, optional (default = 0.10) + Transparency of the reference plane + """ + import plotly.graph_objects as go + + # extract all x/y coords and flatten (ravel) to 1D + x_obj = lines[..., 0].ravel() + y_obj = lines[..., 1].ravel() + + # either take the extent of the plane to be the furthest orbit or furthest planet + if planet_lines is not None and np.size(planet_lines) > 0: + x_pla = planet_lines[..., 0].ravel() + y_pla = planet_lines[..., 1].ravel() + x0 = min(np.nanmin(x_obj), np.nanmin(x_pla)) + x1 = max(np.nanmax(x_obj), np.nanmax(x_pla)) + y0 = min(np.nanmin(y_obj), np.nanmin(y_pla)) + y1 = max(np.nanmax(y_obj), np.nanmax(y_pla)) + else: + x0, x1 = np.nanmin(x_obj), np.nanmax(x_obj) + y0, y1 = np.nanmin(y_obj), np.nanmax(y_obj) + + # add a bit of padding from the edges + padx = 0.05 * (x1 - x0) if (x1 - x0) > 0 else 1.0 + pady = 0.05 * (y1 - y0) if (y1 - y0) > 0 else 1.0 + x0, x1 = x0 - padx, x1 + padx + y0, y1 = y0 - pady, y1 + pady + + # now create the plane as nx x ny grid + nx, ny = 40, 40 + xs = np.linspace(x0, x1, nx) + ys = np.linspace(y0, y1, ny) + X, Y = np.meshgrid(xs, ys) + Z = np.zeros_like(X) + + # add to the figure + fig.add_trace( + go.Surface( + x=X, + y=Y, + z=Z, + showscale=False, + opacity=opacity, + surfacecolor=np.zeros_like(X), + hoverinfo="skip", + name="ref-plane", + hovertemplate=None, + ) + ) + + +# --- very crude orbit classifier --- +def classify(a: float, e: float, Tj: float) -> str: + """ + Rough first pass orbit classifier based on input orbital elements. Does NOT do any + orbit integrations to verify e.g. Trojan or other resonant behaviour, so use only as + an approximate guess. Check your orbits thoroughly. + + Parameters + ----------- + a : float + Semimajor axis of the object, in units of AU + + e : float + Eccentricity of the object + + Tj : float + Tisserand parameter with respect to Jupiter of the object + """ + q = a * (1 - e) + + # these are some very very crude dynamical classifiers for filtering + # purposes, don't take them as gospel - do your own checks!! + if e >= 1.0: + return "Hyperbolic" + elif np.isfinite(a) and a > 2000: + return "Inner Oort Cloud" + elif np.isfinite(Tj) and (Tj < 2.0): + return "LPC" + elif np.isfinite(Tj) and (2.0 <= Tj < 3.0) and (q < 5.2): + return "JFC" + elif np.isfinite(q) and (q < 1.3): + return "NEO" + elif np.isfinite(q) and (1.3 <= q < 1.66): + return "Mars-Crosser" + elif np.isfinite(a) and (2.0 <= a <= 3.5) and np.isfinite(q) and (q >= 1.66): + return "MBA" + elif np.isfinite(a) and (a < 30.04) and np.isfinite(q) and (q >= 7.35): + return "Centaur" + elif np.isfinite(a) and (30.04 <= a < 2000.0) and np.isfinite(q) and (q >= 7.35): + return "TNO" + else: + return "Other" + + +# --- plot in 2D --- +def plotly_2D( + lines: np.ndarray, + canon: ClassicalConic, + plot_sun: bool = True, + orbit_pos: Optional[np.ndarray] = None, + sun_xyz: Optional[np.ndarray] = None, + planet_lines: Optional[np.ndarray] = None, + planet_id: Optional[np.ndarray] = None, + return_fig: bool = False, + output: Optional[str] = None, + panel: Optional[PANEL] = None, + panels: Optional[Tuple[PANEL, PANEL]] = None, +): + """ + Create a 2D (1x2 subplot) interactive Plotly figure of orbits + + Parameters + ----------- + lines : dict of numpy array + Dictionary of arrays with the orbit lines for each object in each plane+origin combination + + canon : ClassicalConic object + Object with the conic section class instances of each object and their properties + + plot_sun : bool, optional (default = True) + Flag to turn on/off plotting the Sun + + orbit_pos : dict of numpy array, optional (default = None) + Dictionary of arrays with object positions in each plane+origin combination + + sun_xyz : dict of numpy array, optional (default = None) + Dictionary of arrays with the Sun positions in each plane+origin combination + + planet_lines : dict of arrays, optional (default = None) + Dictionary of arrays containing planet orbit lines for each planet in each plane+origin + combination of shape (n_planets, n_points, 3) + + planet_id : numpy string array, optional (default = None) + Array containing ID tags for each planet of shape (n_planets,) + + return_fig : bool, optional (default = False) + Flag to turn on/off returning the figure object + + output : str, optional (default = None) + String containing the html of the figure + + panel: str, optional (default = None) + String containing which orientation to draw a single panel of. Must be one of "XY", "XZ", "YZ" + + panels: str, optional (default = None) + String containing which orientation to draw two panels of. Must be one of "XY", "XZ", "YZ" + + Returns + -------- + fig : object + Plotly figure object + """ + import plotly.graph_objects as go + from plotly.subplots import make_subplots + + def coords_for(p: PANEL, x: np.ndarray, y: np.ndarray, z: np.ndarray): + if p == "XY": + return ( + x, + y, + "X [AU]", + "Y [AU]", + True, + ) # <-- the final True here is letting later on know to plot this panel equal aspect, as top-down is onto the reference plane + if p == "XZ": + return ( + x, + z, + "X [AU]", + "Z [AU]", + False, + ) # <-- this and YZ are inclination driven so shouldn't be equal aspect + if p == "YZ": + return y, z, "Y [AU]", "Z [AU]", False + logger.error(f"Unknown panel {p!r} (expected 'XY', 'XZ', 'YZ')") + raise ValueError(f"Unknown panel {p!r} (expected 'XY', 'XZ', 'YZ')") + + # -- panel configuration -- + if panels is not None: + panels_to_show: Tuple[PANEL, ...] = tuple( + panels + ) # < -- if >1 panels, turn whichever options they are into tuple + elif panel is not None: + panels_to_show = (panel,) # < -- if 1 panel, turn that option into tuple + else: + panels_to_show = ("XY", "XZ") # < -- if none specified, default to 2 panel XY+XZ + + if len(panels_to_show) not in (1, 2): + logger.error(f"Expected 1 or 2 panels, got {len(panels_to_show)}: {panels_to_show}") + raise ValueError(f"Expected 1 or 2 panels, got {len(panels_to_show)}: {panels_to_show}") + + ncols = len(panels_to_show) + + fig = make_subplots(rows=1, cols=ncols, horizontal_spacing=0.10 if ncols == 2 else 0.02) + + # -- plot planets -- + if planet_lines is not None: + if planet_id is None: + # in the case you have planet lines but no id, just assign them generic name tags + planet_id = np.array([f"Planet {i}" for i in range(planet_lines.shape[0])], dtype="U32") + + for i in range(planet_lines.shape[0]): + # get planet coords and colour by searching the global variable (default is night mode, + # we can change that in the dash app and css later) + x = planet_lines[i, :, 0] + y = planet_lines[i, :, 1] + z = planet_lines[i, :, 2] + colour = PLANET_COLOURS_NIGHT.get(str(planet_id[i]), "rgba(200,200,200,0.6)") + + hover_text = f"{planet_id[i]}" + + # loop over however many panels we have + for col, p in enumerate(panels_to_show, start=1): + xa, ya, _, _, _ = coords_for( + p, x, y, z + ) # <-- grab the correct axes x/y coords for whatever plane it is + fig.add_trace( + go.Scatter( + x=xa, + y=ya, + mode="lines", + line=dict(color=colour, width=2.2), + hovertemplate=hover_text, + showlegend=False, + name=str(planet_id[i]), + meta={"kind": "Planet"}, # <-- this tag is to prevent colours being overwritten later + ), + row=1, + col=col, + ) + + # -- plot input objects -- + for i in range(lines.shape[0]): + # get object coords + x = lines[i, :, 0] + y = lines[i, :, 1] + z = lines[i, :, 2] + + # it may not be best practice to paste unicode symbols here but ¯\_(ツ)_/¯ + hover_text = ( + f"{canon.obj_id[i]}
" + f"e: {canon.e[i]:.4f}
" + f"i: {np.rad2deg(canon.inc[i]):.2f}°
" + f"Ω: {np.rad2deg(canon.node[i]):.2f}°
" + f"ω: {np.rad2deg(canon.argp[i]):.2f}°" + ) + + # these are being extracted so we can crudely classify them later + L = float(canon.L[i]) + e = float(canon.e[i]) + inc = float(canon.inc[i]) + if abs(1 - e**2) < 1e-12: # <-- protect against parabolic orbits + a = np.inf + else: + a = L / (1 - e**2) + if (not np.isfinite(a)) or (a == 0.0): # <-- same again + Tj = np.nan + else: + Tj = (5.2044 / a) + 2.0 * np.cos(inc) * np.sqrt((a / 5.2044) * (1 - e**2)) + pop = classify(a, e, Tj) + + # loop over however many panels we have + for col, p in enumerate(panels_to_show, start=1): + xa, ya, _, _, _ = coords_for( + p, x, y, z + ) # <-- grab the correct axes x/y coords for whatever plane it is + fig.add_trace( + go.Scatter( + x=xa, + y=ya, + mode="lines", + line=dict(color="rgba(144,167,209,0.7)", width=1.5), + hovertemplate=hover_text + "", + showlegend=False, + name=str(canon.obj_id[i]), + meta={"kind": pop}, + ), + row=1, + col=col, + ) + + # -- plot input object epoch position -- + if orbit_pos is not None: + # want to get a hover label with epoch info so first + # extract from conic objects + mjd = np.asarray(canon.epochMJD_TDB, dtype=float) + mjd_str = np.array([f"{m:.5f}" for m in mjd], dtype="U32") + + # also good to have it in YYYY MM DD format + ymd_str = np.empty(mjd.shape[0], dtype="U10") + base = datetime(1858, 11, 17) # <-- MJD 0 + for i, mjd in enumerate(mjd): + dt = base + timedelta(days=float(mjd)) + ymd_str[i] = dt.strftime("%Y %b %d") + + # vectorise it by stacking all labels together to add + # as one trace into plotly + mjd_stack = np.column_stack([mjd_str, ymd_str]) + hover_text = "%{text}
" "@ MJD %{customdata[0]}
" "(%{customdata[1]})" "" + + # loop over however many panels we have + for col, p in enumerate(panels_to_show, start=1): + xa, ya, _, _, _ = coords_for( + p, orbit_pos[:, 0], orbit_pos[:, 1], orbit_pos[:, 2] + ) # <-- grab the correct axes x/y coords for whatever plane it is + fig.add_trace( + go.Scatter( + x=xa, + y=ya, + mode="markers", + marker=dict(size=5, color="rgba(255,255,255,0.9)"), + showlegend=False, + text=np.asarray(canon.obj_id), + customdata=mjd_stack, + hovertemplate=hover_text, + meta={"kind": "epoch"}, + ), + row=1, + col=col, + ) + + # -- plot the sun -- + if plot_sun: + if sun_xyz is None: + sx, sy, sz = 0.0, 0.0, 0.0 + else: + sx, sy, sz = float(sun_xyz[0]), float(sun_xyz[1]), float(sun_xyz[2]) + + # loop over however many panels we have + for col, p in enumerate(panels_to_show, start=1): + xa, ya, _, _, _ = coords_for( + p, np.array([sx]), np.array([sy]), np.array([sz]) + ) # <-- grab the correct axes x/y coords for whatever plane it is + fig.add_trace( + go.Scatter( + x=xa, + y=ya, + mode="markers", + marker=dict(size=10, color="yellow"), + showlegend=False, + name="Sun", + ), + row=1, + col=col, + ) + + # -- pretty up the figure -- + fig.update_layout( + plot_bgcolor="rgba(0,0,0,0)", + paper_bgcolor="rgba(0,0,0,0)", + font=dict(color="white"), + autosize=True, + margin=dict(l=60, r=60, t=40, b=60), + hoverdistance=0, + hovermode="closest", + ) + + fig.update_xaxes(showgrid=True, gridcolor="rgba(255,255,255,0.08)") + fig.update_yaxes(showgrid=True, gridcolor="rgba(255,255,255,0.08)") + + # axis titles + equal aspect for any XY panel + # loop over however many panels we have + for col, p in enumerate(panels_to_show, start=1): + _, _, xtitle, ytitle, want_equal = coords_for( + p, np.array([0.0]), np.array([0.0]), np.array([0.0]) + ) # <-- grab the correct axes x/y titles for whatever plane it is + fig.update_xaxes(title_text=xtitle, row=1, col=col) + fig.update_yaxes(title_text=ytitle, row=1, col=col) + if want_equal: + if col == 1: + fig.update_layout(yaxis=dict(scaleanchor="x", scaleratio=1)) + elif col == 2: + fig.update_layout(yaxis2=dict(scaleanchor="x2", scaleratio=1)) + + # return figure object if user wants + if return_fig: + return fig + + # otherwise write out and show + if output: + fig.write_html(output) + fig.show() + + fig.show() + + +# --- plot in 3D --- +def plotly_3D( + lines: np.ndarray, + canon: ClassicalConic, + plot_sun: bool = True, + show_plane: bool = True, + orbit_pos: Optional[np.ndarray] = None, + planet_lines: Optional[np.ndarray] = None, + planet_id: Optional[np.ndarray] = None, + sun_xyz: Optional[np.ndarray] = None, + return_fig: bool = False, + output: Optional[str] = None, +): + """ + Create a 3D interactive Plotly figure of orbits + + Parameters + ----------- + lines : dict of numpy array + Dictionary of arrays with the orbit lines for each object in each plane+origin combination + + canon : dict of objects + Dictionary with the conic section class instances of each object and their properties + + plot_sun : bool, optional (default = True) + Flag to turn on/off plotting the Sun + + show_plane : bool, optional (default = True) + Flag to turn on/off plotting the reference plane (ecliptic or equatorial) + + orbit_pos : dict of numpy array, optional (default = None) + Dictionary of arrays with object positions in each plane+origin combination + + planet_lines : dict of arrays, optional (default = None) + Dictionary of arrays containing planet orbit lines for each planet in each plane+origin + combination of shape (n_planets, n_points, 3) + + planet_id : numpy string array, optional (default = None) + Array containing ID tags for each planet of shape (n_planets,) + + sun_xyz : dict of numpy array, optional (default = None) + Dictionary of arrays with the Sun positions in each plane+origin combination + + return_fig : bool, optional (default = False) + Flag to turn on/off returning the figure object + + output : str, optional (default = None) + String containing the html of the figure + + Returns + -------- + fig : object + Plotly figure object + """ + import plotly.graph_objects as go + + fig = go.Figure() + + # -- plot reference plane -- + if show_plane: + add_reference_plane_xy(fig, lines, planet_lines, opacity=0.50) + + # -- plot planets -- + if planet_lines is not None: + if planet_id is None: + planet_id = np.array([f"Planet {i}" for i in range(planet_lines.shape[0])], dtype="U32") + + for i in range(planet_lines.shape[0]): + # get planet coords and colour by searching the global variable (default is night mode, + # we can change that in the dash app and css later) + x = planet_lines[i, :, 0] + y = planet_lines[i, :, 1] + z = planet_lines[i, :, 2] + colour = PLANET_COLOURS_NIGHT.get(str(planet_id[i]), "rgba(200,200,200,0.6)") + + fig.add_trace( + go.Scatter3d( + x=x, + y=y, + z=z, + mode="lines", + line=dict(color=colour, width=5), + hovertemplate=f"{planet_id[i]}", + showlegend=False, + name=str(planet_id[i]), + meta={"kind": "Planet"}, # <-- this tag is to prevent colours being overwritten later + ) + ) + + # -- plot input objects -- + for i in range(lines.shape[0]): + x = lines[i, :, 0] + y = lines[i, :, 1] + z = lines[i, :, 2] + + # it may not be best practice to paste unicode symbols here but ¯\_(ツ)_/¯ + hover_text = ( + f"{canon.obj_id[i]}
" + f"e: {canon.e[i]:.4f}
" + f"i: {np.rad2deg(canon.inc[i]):.2f}°
" + f"Ω: {np.rad2deg(canon.node[i]):.2f}°
" + f"ω: {np.rad2deg(canon.argp[i]):.2f}°" + ) + + # these are being extracted so we can crudely classify them later + L = float(canon.L[i]) + e = float(canon.e[i]) + inc = float(canon.inc[i]) + if abs(1 - e**2) < 1e-12: # <-- protect against parabolic orbits + a = np.inf + else: + a = L / (1 - e**2) + if (not np.isfinite(a)) or (a == 0.0): # <-- same again + Tj = np.nan + else: + Tj = (5.2044 / a) + 2.0 * np.cos(inc) * np.sqrt((a / 5.2044) * (1 - e**2)) + pop = classify(a, e, Tj) + + fig.add_trace( + go.Scatter3d( + x=x, + y=y, + z=z, + mode="lines", + line=dict(color="rgba(144, 167, 209, 0.7)", width=3), + hovertemplate=hover_text + "", + showlegend=False, + name=str(canon.obj_id[i]), + meta={"kind": pop}, + ) + ) + + # -- plot input object epoch position -- + if orbit_pos is not None: + # want to get a hover label with epoch info so first + # extract from conic objects + mjd = np.asarray(canon.epochMJD_TDB, dtype=float) + mjd_str = np.array([f"{m:.5f}" for m in mjd], dtype="U32") + + # also good to have it in YYYY MM DD format + ymd_str = np.empty(mjd.shape[0], dtype="U10") + base = datetime(1858, 11, 17) # <-- MJD 0 + for i, mjd in enumerate(mjd): + dt = base + timedelta(days=float(mjd)) + ymd_str[i] = dt.strftime("%Y %b %d") + + # vectorise it by stacking all labels together to add + # as one trace into plotly + mjd_stack = np.column_stack([mjd_str, ymd_str]) + hover_text = "%{text}
" "@ MJD %{customdata[0]}
" "(%{customdata[1]})" "" + + fig.add_trace( + go.Scatter3d( + x=orbit_pos[:, 0], + y=orbit_pos[:, 1], + z=orbit_pos[:, 2], + mode="markers", + marker=dict(size=3.5, color="rgba(255,255,255,0.9)"), + showlegend=False, + meta={"kind": "epoch"}, + text=np.asarray(canon.obj_id), + customdata=mjd_stack, + hovertemplate=hover_text, + ) + ) + + # -- plot the sun -- + if plot_sun: + if sun_xyz is None: + sx, sy, sz = 0.0, 0.0, 0.0 + else: + sx, sy, sz = float(sun_xyz[0]), float(sun_xyz[1]), float(sun_xyz[2]) + + fig.add_trace( + go.Scatter3d( + x=[sx], + y=[sy], + z=[sz], + mode="markers", + marker=dict(size=6, color="yellow"), + showlegend=False, + hovertext="Sun", + ) + ) + + # -- pretty up the figure -- + fig.update_layout( + template=None, + paper_bgcolor="rgba(0,0,0,0)", + plot_bgcolor="rgba(0,0,0,0)", + font=dict(color="white"), + autosize=True, + margin=dict(l=0, r=0, t=40, b=0), + scene=dict( + xaxis=dict( + title="X [AU]", + showbackground=False, + gridcolor="rgba(255, 255, 255, 0.02)", + zerolinecolor="rgba(255, 255, 255, 0.4)", + ), + yaxis=dict( + title="Y [AU]", + showbackground=False, + gridcolor="rgba(255, 255, 255, 0.02)", + zerolinecolor="rgba(255, 255, 255, 0.4)", + ), + zaxis=dict( + title="Z [AU]", + showbackground=False, + gridcolor="rgba(255, 255, 255, 0.02)", + zerolinecolor="rgba(255, 255, 255, 0.4)", + ), + aspectmode="data", + camera=dict( + center=dict( + x=0, y=0, z=-0.25 + ) # <-- for some reason default camera looks really low to me, negative z shifts scene up in the frame + ), + ), + ) + + # return figure object if user wants + if return_fig: + return fig + + # otherwise write out and show + if output: + fig.write_html(output) + fig.show() + + fig.show() + + +# --- make the dash app --- +def run_dash_app(fig2d_cache: dict[tuple[str, str], "object"], fig3d_cache: dict[tuple[str, str], "object"]): + """ + Create and + """ + import dash + from dash import Dash, dcc, html, Input, Output, State, ctx + import dash_daq as daq + import dash_ag_grid as dag + import copy + import os + import threading + import webbrowser + + # set up app and (very optionally) link to latex stylesheet + app = Dash( + __name__, + assets_folder="data", + external_stylesheets=["https://cdn.jsdelivr.net/npm/katex@0.16.9/dist/katex.min.css"], + ) + + # establsh day/night mode theming + THEME = { + "night": { + "bg": "black", + "fg": "white", + "muted": "rgba(255,255,255,0.82)", + "grid": "rgba(255,255,255,0.08)", + "zero": "rgba(255,255,255,0.12)", + "drawer_bg": "rgba(0,0,0,0.70)", + "tab_bg": "rgba(0,0,0,0.55)", + "border": "rgba(255,255,255,0.18)", + }, + "day": { + "bg": "white", + "fg": "#111111", + "muted": "rgba(0,0,0,0.75)", + "grid": "rgba(0,0,0,0.10)", + "zero": "rgba(0,0,0,0.18)", + "drawer_bg": "rgba(255,255,255,0.86)", + "tab_bg": "rgba(255,255,255,0.75)", + "border": "rgba(0,0,0,0.15)", + }, + } + + ORBIT_COLOUR = {"night": "rgba(144,167,209,0.70)", "day": "rgba(30,60,120,0.85)"} + + # defaults + night_default = True + theme0 = THEME["night"] if night_default else THEME["day"] + fg0 = theme0["fg"] + + origin_bary_default = False + plane_equ_default = False + view_3d_default = True + opacity_default = 0.5 + + default_key = ("helio", "ecl") + initial_fig = fig3d_cache.get(default_key) or next(iter(fig3d_cache.values())) + + # in order to make a selecter for the orbits, we build an inventory of all selectable objects + def collect_inventory(figs: list[object]): + planets: set[str] = set() + objids: set[str] = set() + kinds: dict[str, str] = {} + + for f in figs: + for tr in getattr(f, "data", []) or []: + meta = getattr(tr, "meta", None) + name = str(getattr(tr, "name", "")) + + if not name or name == "ref-plane": + continue + + if isinstance(meta, dict): + k = meta.get("kind") # <-- finally the meta tags come in to play! + + if k == "Planet": + planets.add(name) + continue + + if ( + getattr(tr, "type", None) in ("scatter", "scatter3d") + and getattr(tr, "mode", None) == "lines" + ): + objids.add(name) + kinds.setdefault(name, k) + + return sorted(planets), sorted(objids), kinds + + # get our list of selectable things (if for some reason the cache is partial or could be + # broken, fall back to whatever the initial_fig is) + inv_planets, inv_objids, orbit_kinds = collect_inventory(list(fig3d_cache.values())) + if not inv_planets or not inv_objids: + inv_planets, inv_objids, orbit_kinds = collect_inventory([initial_fig]) + + # these are our table inventory rows + inventory_rows = [{"kind": "Planet", "name": p} for p in inv_planets] + [ + {"kind": orbit_kinds.get(o, "Other"), "name": o} for o in inv_objids + ] + + # set up title/label styling helpers for swapping day/night, frame, origin, and view modes + def title_style(fg: str): + return {"marginBottom": "10px", "fontSize": "20px", "color": fg, "opacity": 0.95} + + def sublabel_style(fg: str): + return {"fontSize": "17px", "color": fg, "opacity": 0.90} + + # this creates the proper div environment for the toggle switches so the labels wrap well and look nice + def labeled_toggle( + left_label: str, toggle_id: str, right_label: str, value: bool, fg: str, width_pix: int = 220 + ): + return html.Div( + [ + html.Div( + left_label, + style={**sublabel_style(fg), "marginRight": "14px", "whiteSpace": "nowrap"}, + className="toggle-label", + ), + daq.ToggleSwitch(id=toggle_id, value=value, size=70, color="#4cd964"), + html.Div( + right_label, + style={**sublabel_style(fg), "marginLeft": "14px", "whiteSpace": "nowrap"}, + className="toggle-label", + ), + ], + style={"display": "flex", "alignItems": "center", "justifyContent": "center", "width": "100%"}, + ) + + # set up a template consistent "block" for all controls to be built into + def control_block(title: str, body, fg: str, width_px: int = 200): + return html.Div( + [ + html.Div(title, style={**title_style(fg), "textAlign": "center", "width": "100%"}), + html.Div(body, style={"display": "flex", "justifyContent": "center", "width": "100%"}), + ], + style={ + "width": "100%", + "minWidth": "0", + "display": "flex", + "flexDirection": "column", + "alignItems": "center", + }, + ) + + # create a special plane toggle block with the slider + plane_block_layout = control_block( + "Plane", + html.Div( + [ + html.Div( + labeled_toggle( + "Ecl", "plane-toggle", "Equ", value=plane_equ_default, fg=fg0, width_pix=220 + ), + style={ + "display": "flex", + "justifyContent": "center", + "width": "100%", + "maxWidth": "260px", + "margin": "0 auto 14px auto", + }, + ), + html.Div( + [ + html.Div( + "Opacity", + style={**sublabel_style(fg0), "flex": "1 1 auto", "textAlign": "center"}, + ), + html.Div( + "Colour", style={**sublabel_style(fg0), "flex": "0 0 42px", "textAlign": "center"} + ), + ], + style={ + "width": "100%", + "maxWidth": "260px", + "display": "flex", + "gap": "10px", + "margin": "0 auto 6px auto", + }, + ), + html.Div( + [ + html.Div( + dcc.Slider( + id="plane-opacity", + min=0.0, + max=1.0, + step=0.02, + value=opacity_default, + marks={0.0: "0", 0.5: "0.5", 1.0: "1.0"}, + className="opacity-slider", + ), + style={"flex": "1 1 auto", "minWidth": "0"}, + ), + html.Button( + "🖌\ufe0e", # <-- is emoji pasting good coding practice? + id="plane-colour-button", + n_clicks=0, + style={ + "flex": "0 0 42px", + "width": "42px", + "height": "34px", + "borderRadius": "10px", + "border": f"1px solid {theme0['border']}", + "background": theme0["tab_bg"], + "color": fg0, + "cursor": "pointer", + "padding": "0", + "display": "flex", + "alignItems": "center", + "justifyContent": "center", + }, + title="Edit Colour", + ), + ], + style={ + "width": "100%", + "maxWidth": "260px", + "margin": "0 auto", + "display": "flex", + "alignItems": "center", + "gap": "10px", + }, + ), + ], + style={ + "display": "flex", + "flexDirection": "column", + "alignItems": "center", + "gap": "10px", + "width": "100%", + "minWidth": "0", + }, + ), + fg=fg0, + ) + + # create a special switch for 2D plots to choose which panels to display and how many + panel_mode_block = html.Div( + [ + html.Div( + "2D Panel Controls", + style={**sublabel_style(fg0), "textAlign": "center", "marginBottom": "6px"}, + ), + dcc.RadioItems( + id="panel-mode", + options=[ + {"label": "1 panel", "value": "single"}, + {"label": "2 panels", "value": "double"}, + ], + value="double", + inline=True, + style={"display": "flex", "justifyContent": "center", "gap": "18px"}, + labelStyle={**sublabel_style(fg0), "cursor": "pointer"}, + ), + ], + style={ + "width": "220px", + "display": "flex", + "flexDirection": "column", + "alignItems": "center", + "marginTop": "14px", + }, + ) + + # -- create entire layout of page -- + app.layout = html.Div( + [ + # these store camera/zoom info across theme/origin/plane changes, whether the + # controls drawer is open or not, and the height of the drawer + dcc.Store(id="view-state", data={"mode": None, "camera": None, "xrange": None, "yrange": None}), + dcc.Store(id="controls-open", data=False), + dcc.Store(id="drawer-height", data=0), + # our visible object sets + dcc.Store(id="visible-objids", data=inv_objids), + dcc.Store(id="visible-planets", data=inv_planets), + # here's our button to toggle down the settings menu + html.Button( + "⌄", + id="controls-tab", + n_clicks=0, + style={ + "position": "fixed", + "top": "10px", + "left": "50%", + "transform": "translateX(-50%)", + "zIndex": 10000, + "pointerEvents": "auto", + "width": "64px", + "height": "36px", + "borderRadius": "14px", + "border": f"1px solid {theme0['border']}", + "background": theme0["tab_bg"], + "color": fg0, + "fontSize": "26px", + "cursor": "pointer", + "backdropFilter": "blur(10px)", + "transition": "top 180ms ease", + }, + ), + html.Div( + [ + html.Div( + [ + html.Div( + [ + html.Div("", style={"justifySelf": "start"}), + html.Div( + "Controls", + style={ + "fontSize": "22px", + "fontWeight": 600, + "justifySelf": "center", + }, + ), + html.Button( + "x", + id="controls-close", + n_clicks=0, + style={ + "justifySelf": "end", + "border": "none", + "background": "transparent", + "color": "inherit", + "fontSize": "22px", + "cursor": "pointer", + }, + ), + ], + style={ + "display": "grid", + "gridTemplateColumns": "1fr auto 1fr", + "alignItems": "center", + "marginBottom": "14px", + }, + ), + html.Div( + html.Div( + [ + control_block( + "Theme", + labeled_toggle( + "Day", + "theme-toggle", + "Night", + value=night_default, + fg=fg0, + width_pix=220, + ), + fg=fg0, + width_px=220, + ), + control_block( + "Origin", + labeled_toggle( + "Helio", + "origin-toggle", + "Bary", + value=origin_bary_default, + fg=fg0, + width_pix=220, + ), + fg=fg0, + width_px=220, + ), + plane_block_layout, + html.Div( + [ + control_block( + "View", + labeled_toggle( + "2D", + "view-toggle", + "3D", + value=view_3d_default, + fg=fg0, + width_pix=200, + ), + fg=fg0, + width_px=220, + ), + html.Div( + panel_mode_block, + id="panel-controls-wrapper", + style={ + "display": "none" + }, # <-- start hidden since default view is 3D + ), + ], + style={ + "display": "flex", + "flexDirection": "column", + "alignItems": "center", + "gap": "10px", + "width": "100%", + "minWidth": "0", + }, + ), + control_block( + "Edit Objects", + html.Div( + html.Button( + [html.Span("✎", style={"marginRight": "10px"}), "Edit"], + id="objects-open", + n_clicks=0, + style={ + "width": "180px", + "height": "44px", + "borderRadius": "14px", + "border": f"1px solid {theme0['border']}", + "background": theme0["tab_bg"], + "color": fg0, + "fontSize": "20px", + "fontWeight": 600, + "cursor": "pointer", + }, + ), + style={"marginTop": "6px"}, + ), + fg=fg0, + width_px=220, + ), + ], + id="controls-row", + style={ + "display": "grid", + "gridTemplateColumns": "repeat(5, minmax(260px, 1fr))", # <-- this makes it an evenly spaced grid of 5 objects + "alignItems": "start", + "gap": "32px", + "width": "100%", + "boxSizing": "border-box", + "justifyItems": "stretch", + }, + ), + style={ + "width": "100%", + "overflowX": "auto", + "overflowY": "visible", + "paddingLeft": "32px", + "paddingRight": "32px", + "boxSizing": "border-box", + }, + ), + ], + id="controls-content", + style={ + "padding": "18px", + "paddingBottom": "64px", + "boxSizing": "border-box", + "background": theme0["drawer_bg"], + "color": fg0, + "borderBottom": f"1px solid {theme0['border']}", + "backdropFilter": "blur(10px)", + }, + ) + ], + id="controls-drawer", + style={ + "position": "fixed", + "top": "0", + "left": "0", + "right": "0", + "zIndex": 4000, + "background": "rgba(0,0,0,0)", + "borderBottom": "none", + "backdropFilter": "none", + "overflow": "visible", + "display": "flex", + "flexDirection": "column", + "transform": "translateY(-100%)", + "transition": "transform 180ms ease", + "pointerEvents": "none", + }, + ), + html.Div( + [ + # this is the actual plot being drawn + dcc.Graph( + id="orbit-graph", + figure=initial_fig, + style={"width": "100%", "height": "100%"}, + config={"displaylogo": False, "responsive": True, "displayModeBar": True}, + ), + # panel dropdown overlay (on-plot, not in drawer) + html.Div( + [ + dcc.Dropdown( + id="panel-single", + options=[{"label": p, "value": p} for p in ["XY", "XZ", "YZ"]], + value="XY", + clearable=False, + style={"width": "110px", "color": "#111111"}, + ), + ], + id="panel-overlay-single", + style={ + "position": "absolute", + "left": "50%", + "top": "10px", + "transform": "translateX(-50%)", + "zIndex": 2000, + "display": "none", + "padding": "10px 12px", + "borderRadius": "14px", + "background": theme0["tab_bg"], + "border": f"1px solid {theme0['border']}", + "backdropFilter": "blur(10px)", + "pointerEvents": "auto", + }, + ), + html.Div( + [ + dcc.Dropdown( + id="panel-left", + options=[{"label": p, "value": p} for p in ["XY", "XZ", "YZ"]], + value="XY", + clearable=False, + style={"width": "110px", "color": "#111111"}, + ), + ], + id="panel-overlay-left", + style={ + "position": "absolute", + "left": "25%", + "top": "10px", + "transform": "translateX(-50%)", + "zIndex": 2000, + "display": "none", + "padding": "10px 12px", + "borderRadius": "14px", + "background": theme0["tab_bg"], + "border": f"1px solid {theme0['border']}", + "backdropFilter": "blur(10px)", + "pointerEvents": "auto", + }, + ), + html.Div( + [ + dcc.Dropdown( + id="panel-right", + options=[{"label": p, "value": p} for p in ["XY", "XZ", "YZ"]], + value="YZ", + clearable=False, + style={"width": "110px", "color": "#111111"}, + ) + ], + id="panel-overlay-right", + style={ + "position": "absolute", + "left": "75%", + "top": "10px", + "transform": "translateX(-50%)", + "zIndex": 2000, + "display": "none", + "padding": "10px 12px", + "borderRadius": "14px", + "background": theme0["tab_bg"], + "border": f"1px solid {theme0['border']}", + "backdropFilter": "blur(10px)", + "pointerEvents": "auto", + }, + ), + ], + style={"position": "fixed", "inset": "0", "zIndex": 1}, + ), + # make the object table modal manager + html.Div( + id="objects-modal", + style={ + "display": "none", + "position": "fixed", + "inset": 0, + "zIndex": 20000, + "background": "rgba(0,0,0,0.55)", + "backdropFilter": "blur(6px)", + "pointerEvents": "auto", + }, + children=[ + html.Div( + id="objects-modal-card", + style={ + "width": "min(1200px, 96vw)", + "height": "min(820px, 92vh)", + "margin": "4vh auto", + "background": theme0["drawer_bg"], + "border": f"1px solid {theme0['border']}", + "borderRadius": "16px", + "padding": "16px", + "boxSizing": "border-box", + "display": "flex", + "flexDirection": "column", + "gap": "12px", + }, + children=[ + html.Div( + style={ + "display": "flex", + "alignItems": "center", + "justifyContent": "space-between", + "gap": "10px", + }, + children=[ + html.Div( + "Object Manager", + style={"fontSize": "22px", "fontWeight": 700, "color": fg0}, + ), + html.Button( + "x", + id="objects-close", + n_clicks=0, + style={ + "border": "none", + "background": "transparent", + "color": fg0, + "fontSize": "22px", + "cursor": "pointer", + }, + ), + ], + ), + html.Div( + style={ + "display": "flex", + "gap": "10px", + "flexWrap": "wrap", + "alignItems": "center", + }, + children=[ + dcc.Input( + id="obj-quickfilter", + type="text", + placeholder="Search... (filter rows)", + value="", + style={ + "width": "340px", + "height": "40px", + "borderRadius": "12px", + "border": f"1px solid {theme0['border']}", + "padding": "0 12px", + "outline": "none", + }, + ), + html.Div( + id="obj-count", + style={"color": fg0, "opacity": 0.9, "fontSize": "14px"}, + ), + ], + ), + html.Div( + style={ + "display": "flex", + "gap": "10px", + "flexWrap": "wrap", + "alignItems": "center", + }, + children=[ + html.Button("Show selected", id="obj-show-selected", n_clicks=0), + html.Button("Hide selected", id="obj-hide-selected", n_clicks=0), + html.Button("Show filtered", id="obj-show-filtered", n_clicks=0), + html.Button("Hide filtered", id="obj-hide-filtered", n_clicks=0), + html.Button("Show all", id="obj-show-all", n_clicks=0), + html.Button("Hide all", id="obj-hide-all", n_clicks=0), + html.Button("Invert Selection", id="obj-invert", n_clicks=0), + ], + ), + html.Div( + style={"flex": "1 1 auto", "minHeight": "0"}, + children=[ + dag.AgGrid( + id="objects-grid", + columnDefs=[ + { + "headerName": "Kind", + "field": "kind", + "width": 120, + "filter": True, + }, + { + "headerName": "Name", + "field": "name", + "flex": 1, + "filter": True, + "checkboxSelection": True, + "headerCheckboxSelection": True, + }, + { + "headerName": "Visible", + "field": "visible", + "width": 120, + "filter": True, + }, + ], + rowData=[], + defaultColDef={"sortable": True, "resizable": True}, + dashGridOptions={ + "rowSelection": "multiple", + "animateRows": False, + "suppressRowClickSelection": False, + "rowHeight": 34, + }, + className="ag-theme-quartz", + style={"height": "100%", "width": "100%"}, + ) + ], + ), + ], + ) + ], + ), + # make the colour selector window + dcc.Store(id="plane-colour-open", data=False), + html.Div( + id="plane-colour-modal", + n_clicks=0, + style={ + "display": "none", + "position": "fixed", + "inset": 0, + "zIndex": 25000, + "background": "rgba(0,0,0,0.55)", + "backdropFilter": "blur(6px)", + "pointerEvents": "auto", + }, + children=[ + html.Div( + id="plane-colour-card", + n_clicks=0, + style={ + "width": "min(520px, 92vw)", + "margin": "12vh auto", + "background": theme0["drawer_bg"], + "border": f"1px solid {theme0['border']}", + "borderRadius": "16px", + "padding": "16px", + "boxSizing": "border-box", + }, + children=[ + html.Div( + style={ + "display": "flex", + "alignItems": "center", + "justifyContent": "space-between", + }, + children=[ + html.Div( + "Reference Plane Colour", + style={"fontSize": "18px", "fontWeight": 700, "color": fg0}, + ), + html.Button( + "x", + id="plane-colour-close", + n_clicks=0, + style={ + "border": "none", + "background": "transparent", + "color": fg0, + "fontSize": "22px", + "cursor": "pointer", + }, + ), + ], + ), + html.Div( + style={"marginTop": "12px", "display": "flex", "justifyContent": "center"}, + children=[ + daq.ColorPicker(id="plane-colour", value={"hex": "#F5B277"}, size=220) + ], + ), + ], + ) + ], + ), + ], + id="app-shell", + className="theme-dark" if night_default else "theme-light", + style={ + "height": "100vh", + "width": "100vw", + "margin": "0", + "padding": "0", + "backgroundColor": theme0["bg"], + "color": fg0, + }, + ) + + # -- interactive -- + # this bit does a bit of javascript-y hackery: basically 1) whenever the controls-open state + # changes, we grab its id, then 2) get its pixel dimensions on screen (r = ...), then 3) we + # get that height (or 0 if missing) and store it in drawer-height - all of this is done in web + app.clientside_callback( + """ + function(is_open) { + const el = document.getElementById("controls-drawer"); + if (!el) return 0; + const r = el.getBoundingClientRect(); + return (r && r.height) ? r.height : 0; + } + """, + Output("drawer-height", "data"), + Input("controls-open", "data"), + ) + + # this bit lets the code know what state the dropdown controls tab is in (open/closed?) + @app.callback( + Output("controls-open", "data"), + Input("controls-tab", "n_clicks"), # <-- toggle tab open/close + Input("controls-close", "n_clicks"), # <-- force close + State("controls-open", "data"), + prevent_initial_call=True, + ) + def toggle_controls(_tab_clicks: int | None, _close_clicks: int | None, is_open: bool): + trig = ( + ctx.triggered[0]["prop_id"].split(".")[0] if ctx.triggered else "" + ) # <-- this registers what input fires the callback + if trig == "controls-close": + return False # <-- if the X button is pressed, force closed + return not bool( + is_open + ) # <-- if the \/ button is pressed, invert whatever state is_open is in (ie close/open) + + # now we will alter the position, state, movement, and buttons on the controls drawer here + @app.callback( + Output("controls-drawer", "style"), + Output("controls-tab", "children"), + Output("controls-tab", "style"), + Input("controls-open", "data"), + Input("theme-toggle", "value"), + Input("drawer-height", "data"), + State("controls-drawer", "style"), + State("controls-tab", "style"), + ) + def style_drawer( + is_open: bool, + night_mode: bool, + drawer_h: float | int | None, + drawer_style: dict[str, Any] | None, + tab_style: dict[str, Any] | None, + ): + theme = THEME["night"] if night_mode else THEME["day"] + fg = theme["fg"] + + # alter some aspects of the drawer (note: in this context a drawer is the slidey box + # that comes down when we press the \/ button). note that the style differs if it is + # open or closed + ds = dict(drawer_style or {}) + ds["background"] = "rgba(0,0,0,0)" + ds["borderBottom"] = "none" + ds["backdropFilter"] = "none" + ds["overflow"] = "visible" + ds["display"] = "flex" + ds["flexDirection"] = "column" + ds["transition"] = "transform 180ms ease" # <-- make it smooth pulling out + ds["transform"] = "translateY(0%)" if is_open else "translateY(-100%)" + ds["zIndex"] = 4000 + ds["pointerEvents"] = ( + "auto" if is_open else "none" + ) # <-- makes sure it wont block the plotly plot elements when closed + + # alter some aspects of the button (note: in this context its also called a tab). the + # colour and theme changes depending on day/night mode + ts = dict(tab_style or {}) + ts["position"] = "fixed" + ts["left"] = "50%" + ts["transform"] = "translateX(-50%)" + ts["zIndex"] = 10000 + ts["pointerEvents"] = "auto" + ts["width"] = "64px" + ts["height"] = "36px" + ts["cursor"] = "pointer" + ts["fontSize"] = "26px" + ts["borderRadius"] = "14px" + ts["background"] = theme["tab_bg"] + ts["color"] = fg + ts["border"] = f"1px solid {theme['border']}" + ts["backdropFilter"] = "blur(10px)" + ts["transition"] = "top 180ms ease" + + # this bit places the \/ button either near the top (10px) when closed, or near the bottom edge + # of the drawer (inset top_px) when open + try: + h = float(drawer_h) if drawer_h is not None else 0.0 + except Exception: + h = 0.0 + + if is_open and h > 0: + top_px = max( + 10, int(h - 36 - 10) + ) # <-- drawer bottom (h) - button height (36) - small padding (10) + ts["top"] = f"{top_px}px" + else: + ts["top"] = "10px" + + chevron = "⌃" if is_open else "⌄" + + return ds, chevron, ts + + # reference plane colour picker + @app.callback( + Output("plane-colour-modal", "style", allow_duplicate=True), + Output("plane-colour-card", "style"), + Input("plane-colour-button", "n_clicks"), + Input("plane-colour-close", "n_clicks"), + Input("theme-toggle", "value"), + State("plane-colour-modal", "style"), + State("plane-colour-card", "style"), + prevent_initial_call=True, + ) + def toggle_plane_colour_modal( + open_clicks: int | None, + close_clicks: int | None, + night_mode: bool, + modal_style: dict[str, Any] | None, + card_style: dict[str, Any] | None, + ): + theme = THEME["night"] if night_mode else THEME["day"] + ms = dict(modal_style or {}) + cs = dict(card_style or {}) + + # keep theme in sync + cs["background"] = theme["drawer_bg"] + cs["border"] = f"1px solid {theme['border']}" + + trig = ctx.triggered[0]["prop_id"].split(".")[0] if ctx.triggered else "" + if trig == "plane-colour-button": + ms["display"] = "block" + elif trig == "plane-colour-close": + ms["display"] = "none" + + return ms, cs + + # add ability to close out of colour picker by just selecting backdrop + @app.callback( + Output("plane-colour-modal", "style", allow_duplicate=True), + Input("plane-colour-modal", "n_clicks"), + Input("plane-colour-card", "n_clicks"), + State("plane-colour-modal", "style"), + prevent_initial_call=True, + ) + def close_plane_colour_on_backdrop( + modal_clicks: int | None, card_clicks: int | None, style: dict[str, Any] | None + ): + trig = ctx.triggered_id + + # if the backdrop itself was clicked, then close altogether + if trig == "plane-colour-modal": + style = dict(style or {}) + style["display"] = "none" + return style + + # but if click was inside the colour picker card, do nothing + raise dash.exceptions.PreventUpdate + + # object manager callback stuff (open/close + theming) + @app.callback( + Output("objects-modal", "style"), + Output("objects-modal-card", "style"), + Input("objects-open", "n_clicks"), + Input("objects-close", "n_clicks"), + Input("theme-toggle", "value"), + State("objects-modal", "style"), + State("objects-modal-card", "style"), + prevent_initial_call=True, + ) + def toggle_objects_modal( + open: int | None, + close: int | None, + night_mode: bool, + modal_style: dict[str, Any] | None, + card_style: dict[str, Any] | None, + ): + theme = THEME["night"] if night_mode else THEME["day"] + fg = theme["fg"] + + ms = dict(modal_style or {}) + cs = dict(card_style or {}) + + # keep theme in sync even if modal already open + cs["background"] = theme["drawer_bg"] + cs["border"] = f"1px solid {theme['border']}" + + trig = ctx.triggered[0]["prop_id"].split(".")[0] if ctx.triggered else "" + if trig == "objects-open": + ms["display"] = "block" + elif trig == "objects-close": + ms["display"] = "none" + + return ms, cs + + # add search filtering + @app.callback(Output("objects-grid", "quickFilterText"), Input("obj-quickfilter", "value")) + def grid_quickfilter(txt: str | None): + return txt or "" + + # make orbits visible / invisibile from table selections + @app.callback( + Output("objects-grid", "rowData"), + Output("obj-count", "children"), + Input("visible-objids", "data"), + Input("visible-planets", "data"), + ) + def sync_grid_rows(visible_objids: list[str] | None, visible_planets: list[str] | None): + vis_o = set(visible_objids or []) + vis_p = set(visible_planets or []) + + rows = [] + for r in inventory_rows: + k = r["kind"] + name = r["name"] + if k == "Planet": + vis = name in vis_p + else: + vis = name in vis_o + rows.append({"kind": k, "name": name, "visible": "✓" if vis else ""}) + + shown = len(vis_o) + len(vis_p) + total = len(inv_objids) + len(inv_planets) + return rows, f"Visible: {shown} / {total}" + + # bulk actions from the manager + @app.callback( + Output("visible-objids", "data"), + Output("visible-planets", "data"), + Input("obj-show-selected", "n_clicks"), + Input("obj-hide-selected", "n_clicks"), + Input("obj-show-filtered", "n_clicks"), + Input("obj-hide-filtered", "n_clicks"), + Input("obj-show-all", "n_clicks"), + Input("obj-hide-all", "n_clicks"), + Input("obj-invert", "n_clicks"), + State("objects-grid", "selectedRows"), + State("objects-grid", "virtualRowData"), + State("visible-objids", "data"), + State("visible-planets", "data"), + prevent_initial_call=True, + ) + def bulk_visibility( + n1: int | None, + n2: int | None, + n3: int | None, + n4: int | None, + n5: int | None, + n6: int | None, + n7: int | None, + selected_rows: list[dict[str, Any]] | None, + virtual_rows: list[dict[str, Any]] | None, + visible_objids: list[str] | None, + visible_planets: list[str] | None, + ): + # /\ all of the n* are the various click values for the inputs, if they're not there plotly and dash break + trig = ctx.triggered[0]["prop_id"].split(".")[0] if ctx.triggered else "" + + vis_o = set(visible_objids or []) + vis_p = set(visible_planets or []) + + def split(rows: list[dict[str, Any]] | None): + rows = rows or [] + ps = { + str(r.get("name")) + for r in rows + if str(r.get("kind")) == "Planet" and r.get("name") is not None + } + os = { + str(r.get("name")) + for r in rows + if str(r.get("kind")) != "Planet" and r.get("name") is not None + } + return ps, os + + sel_p, sel_o = split(selected_rows) + fil_p, fil_o = split(virtual_rows) + + # joe learns logical operators: + if trig == "obj-show-selected": + vis_p |= sel_p + vis_o |= sel_o + elif trig == "obj-hide-selected": + vis_p -= sel_p + vis_o -= sel_o + elif trig == "obj-show-filtered": + vis_p |= fil_p + vis_o |= fil_o + elif trig == "obj-hide-filtered": + vis_p -= fil_p + vis_o -= fil_o + elif trig == "obj-show-all": + vis_p = set(inv_planets) + vis_o = set(inv_objids) + elif trig == "obj-hide-all": + vis_p = set() + vis_o = set() + elif trig == "obj-invert": + vis_p = set(inv_planets) - vis_p + vis_o = set(inv_objids) - vis_o + else: + raise dash.exceptions.PreventUpdate + + return sorted(vis_o), sorted(vis_p) + + # this section records the zoom/camera state into view-state + @app.callback( + Output("view-state", "data"), + Input("orbit-graph", "relayoutData"), + State("view-toggle", "value"), + State("view-state", "data"), + prevent_initial_call=True, + ) + def capture_view(relayout: dict[str, Any] | None, view_3d: bool, state: dict[str, Any] | None): + # ignore any callbacks that don't actually change the view + if not relayout: + return dash.no_update + + # ignore relayouts that are just layout/style updates + camera_keys = { + "scene.camera", + "xaxis.range[0]", + "xaxis.range[1]", + "yaxis.range[0]", + "yaxis.range[1]", + "xaxis.autorange", + "yaxis.autorange", + } + + if not any(k in relayout for k in camera_keys): + return dash.no_update + + # figure out what mode we're in + state = dict(state or {}) + mode = "3d" if view_3d else "2d" + + # if the mode has changed since last time, reset the stored view + # (viewpoint between 2d <-> 3d shouldn't be saved) + if state.get("mode") != mode: + state = {"mode": mode, "camera": None, "xrange": None, "yrange": None} + state["mode"] = mode + + # if we're in 3d and the camera exists, store it + if mode == "3d": + cam = relayout.get("scene.camera") + if cam: + state["camera"] = cam + # however if we're in 2d, store the x/y axes ranges + else: + x0 = relayout.get("xaxis.range[0]") + x1 = relayout.get("xaxis.range[1]") + y0 = relayout.get("yaxis.range[0]") + y1 = relayout.get("yaxis.range[1]") + + if x0 is not None and x1 is not None: + state["xrange"] = [x0, x1] + if y0 is not None and y1 is not None: + state["yrange"] = [y0, y1] + + # or if the range is reset due to autoranging, clear stored ranges + if relayout.get("xaxis.autorange") or relayout.get("yaxis.autorange"): + state["xrange"] = None + state["yrange"] = None + + return state + + # here we're gonna update everything that is actual content such as figures, rather + # than just updating the drawer/toggle mechanics + @app.callback( + Output("orbit-graph", "figure"), + Output("app-shell", "style"), + Output("app-shell", "className"), + Output("panel-controls-wrapper", "style"), + Output("panel-overlay-single", "style"), + Output("panel-overlay-left", "style"), + Output("panel-overlay-right", "style"), + Input("theme-toggle", "value"), + Input("view-toggle", "value"), + Input("origin-toggle", "value"), + Input("plane-toggle", "value"), + Input("plane-opacity", "value"), + Input("plane-colour", "value"), + Input("panel-mode", "value"), + Input("panel-single", "value"), + Input("panel-left", "value"), + Input("panel-right", "value"), + Input("visible-objids", "data"), + Input("visible-planets", "data"), + State("view-state", "data"), + ) + def update_orbit_plot( + night_mode: bool, + view_3d: bool, + origin_bary: bool, + plane_equ: bool, + opacity: float, + plane_colour, + panel_mode: str, + panel_single: str, + panel_left: str, + panel_right: str, + visible_objids: list[str] | None, + visible_planets: list[str] | None, + view_state: dict[str, object], + ): + # set up some figure themings + theme = THEME["night"] if night_mode else THEME["day"] + bg = theme["bg"] + fg = theme["fg"] + grid = theme["grid"] + zero = theme["zero"] + orbit_colour = ORBIT_COLOUR["night"] if night_mode else ORBIT_COLOUR["day"] + + # set a default plot to show first + origin = "bary" if origin_bary else "helio" + plane = "equ" if plane_equ else "ecl" + + # deepcopy important as fig.data is mutable, so altering colours messes up cached figures and so toggles + if view_3d: + fig = copy.deepcopy(fig3d_cache[(origin, plane)]) + else: + if panel_mode == "single": + fig = copy.deepcopy(fig2d_cache[(origin, plane, "single", panel_single, None)]) + else: + fig = copy.deepcopy(fig2d_cache[(origin, plane, "double", panel_left, panel_right)]) + + for trace in fig.data: + # we need to differentiate planets from input objects to make sure + # they are coloured properly, so we use their meta tags we set up + # earlier to toggle their colours appropriately + is_planet = ( + getattr(trace, "meta", None) is not None + and isinstance(trace.meta, dict) + and trace.meta.get("kind") == "Planet" + ) + if is_planet: + name = str(trace.name) + trace.line.color = ( + PLANET_COLOURS_NIGHT.get(name, "rgba(220,220,220,0.7)") + if night_mode + else PLANET_COLOURS_DAY.get(name, "rgba(220,220,220,0.7)") + ) + continue + + # every other non-planet is the default colour then + if trace.type in ("scatter", "scatter3d") and getattr(trace, "mode", None) == "lines": + trace.line.color = orbit_colour + + # also colour input object epoch markers differently if day or night mode + meta = getattr(trace, "meta", None) + if isinstance(meta, dict) and meta.get("kind") == "epoch": + trace.marker.color = "rgba(255,255,255,0.9)" if night_mode else "rgba(30,30,30,0.9)" + + # apply object visibility + vis_o = set(visible_objids or []) + vis_p = set(visible_planets or []) + + for trace in fig.data: + meta = getattr(trace, "meta", None) + kind = meta.get("kind") if isinstance(meta, dict) else None + + if kind == "Planet": + trace.visible = str(getattr(trace, "name", "")) in vis_p + continue + + if ( + getattr(trace, "type", None) in ("scatter", "scatter3d") + and getattr(trace, "mode", None) == "lines" + ): + name = str(getattr(trace, "name", "")) + if name and name != "ref-plane": + trace.visible = name in vis_o + + if isinstance(meta, dict) and meta.get("kind") == "epoch": + texts = getattr(trace, "text", None) + texts_list = [] if texts is None else list(texts) + + base = "rgba(255,255,255,0.9)" if night_mode else "rgba(100,100,100,0.9)" + hidden = "rgba(0,0,0,0)" + + trace.marker.color = [base if str(t) in vis_o else hidden for t in texts_list] + + # if the view is 3d then set the reference plane opacity+colour + if view_3d: + for trace in fig.data: + if getattr(trace, "name", None) == "ref-plane": + trace.opacity = opacity + + if plane_colour and "hex" in plane_colour: + c = plane_colour["hex"] + trace.update(colorscale=[[0, c], [1, c]], cmin=0, cmax=1, showscale=False) + + # set up the background of the whole figure canvas + plotting region + # so that they are transparent (ie page theme is controlling background, + # not plotly itself) + paper = "rgba(0,0,0,0)" if bg == "black" else "rgba(255,255,255,0)" + fig.update_layout(paper_bgcolor=paper, plot_bgcolor=paper, font=dict(color=fg), uirevision="keep") + + # style the axis grids in 2d or 3d + if hasattr(fig, "update_xaxes"): + fig.update_xaxes(gridcolor=grid, zerolinecolor=zero) + fig.update_yaxes(gridcolor=grid, zerolinecolor=zero) + + if getattr(fig.layout, "scene", None) is not None: + fig.update_scenes( + xaxis_gridcolor=grid, + xaxis_zerolinecolor=zero, + yaxis_gridcolor=grid, + yaxis_zerolinecolor=zero, + zaxis_gridcolor=grid, + zaxis_zerolinecolor=zero, + ) + + # get current view state + view_state = view_state or {} + mode = "3d" if view_3d else "2d" + + # if we're in the same view mode, reapply the stored view. this helps us + # preserve the view across theme/origin/plane changes + if view_state.get("mode") == mode: + if mode == "3d" and view_state.get("camera") and getattr(fig.layout, "scene", None) is not None: + fig.update_layout(scene_camera=view_state["camera"]) + if mode == "2d": + xr = view_state.get("xrange") + yr = view_state.get("yrange") + if xr is not None: + fig.update_xaxes(range=xr, autorange=False) + if yr is not None: + fig.update_yaxes(range=yr, autorange=False) + + # set the style of the outermost html container + shell_style = { + "height": "100vh", + "width": "100vw", + "margin": "0", + "padding": "0", + "backgroundColor": bg, + "color": fg, + } + shell_class = "theme-dark" if night_mode else "theme-light" + + # show/hide the 2D panel-mode selector under the view toggle + panel_controls_style = {"display": "none"} if view_3d else {} + + # per-2D panel overlay base style + base_overlay = { + "position": "absolute", + "top": "10px", + "zIndex": 2000, + "padding": "10px 12px", + "borderRadius": "14px", + "background": theme["tab_bg"], + "border": f"1px solid {theme['border']}", + "backdropFilter": "blur(10px)", + "pointerEvents": "auto", + "display": "none", + } + + single_style = dict(base_overlay) + left_style = dict(base_overlay) + right_style = dict(base_overlay) + + # positions of dropdown menus + single_style["left"] = "25%" + single_style["transform"] = "translateX(-50%)" + + left_style["left"] = "25%" + left_style["transform"] = "translateX(-50%)" + + right_style["left"] = "75%" + right_style["transform"] = "translateX(-50%)" + + if not view_3d: + if panel_mode == "single": + single_style["display"] = "block" + else: + left_style["display"] = "block" + right_style["display"] = "block" + + return fig, shell_style, shell_class, panel_controls_style, single_style, left_style, right_style + + # auto-open the browser + def open_browser(): + webbrowser.open_new("http://127.0.0.1:8050/") + + # this is a reloader that prevents us accidentally opening two tabs + # at the same time (this kept happening to me in debugging), + # giving the server time to start before the browser visits the url + # (see https://stackoverflow.com/questions/9449101/how-to-stop-flask-from-initialising-twice-in-debug-mode?) + if os.environ.get("WERKZEUG_RUN_MAIN") == "true": + threading.Timer(1.0, open_browser).start() + + # avoid spam in the terminal + log = logging.getLogger("werkzeug") + log.setLevel(logging.ERROR) + + # now run the server! + app.run(debug=False, use_reloader=True) diff --git a/src/layup/data/app.css b/src/layup/data/app.css new file mode 100644 index 00000000..6cfc78a4 --- /dev/null +++ b/src/layup/data/app.css @@ -0,0 +1,124 @@ +/* --- layout ---*/ +/* +remove the browser defaults and force full view +*/ +html, body { + margin: 0 !important; + padding: 0 !important; + height: 100% !important; + width: 100% !important; + overflow: hidden; /* <-- no page scrolling! */ +} + +/* +because we have multiple wrapper divs around react, we must explicitly +say to fill the view or the plots won't size correctly +*/ +#react-entry-point, +#react-entry-point > div, +#_dash-app-content { + height: 100% !important; + width: 100% !important; +} + + +/* --- themes --- */ +/* +dark theme stuff, allows us to just swap the class on the container +when we toggle the theme button +*/ +.theme-dark { + --bg: #000000; + --fg: #ffffff; + --muted: rgba(255,255,255,0.82); + --grid: rgba(255,255,255,0.08); + --rail: rgba(255,255,255,0.20); + --track: rgba(255,255,255,0.35); + --handle: rgba(255,255,255,0.85); +} + +/* +light theme stuff, same as dark theme but inverted basically +*/ +.theme-light { + --bg: #ffffff; + --fg: #111111; + --muted: rgba(0,0,0,0.75); + --grid: rgba(0,0,0,0.10); + --rail: rgba(0,0,0,0.15); + --track: rgba(0,0,0,0.30); + --handle: rgba(0,0,0,0.70); +} + + +/* --- styling --- */ +/* +this is the "shell" of the app behind the figure and controls, and +because the plotly backgrounds are transparent, /this/ is the colour +*/ +.app-shell { + background: var(--bg); + color: var(--fg); + min-height: 100vh; +} + +/* +raise the plotly modebar with the camera controls and save plot button +avove the controls drawer so it remains clickable +*/ +.js-plotly-plot .plotly .modebar { + z-index: 6000 !important; +} + +/* slider stuff */ +/* +all of this is just restyling the slider based on the active theme +*/ +.rc-slider-mark-text { + color: var(--muted) !important; /* <-- tick labels */ +} + +.rc-slider-rail { + background-color: var(--rail) !important; /* <-- inactive portion */ +} + +.rc-slider-track { + background-color: var(--track) !important; /* <-- active portion */ +} + +.rc-slider-handle { + border: 2px solid var(--handle) !important; /* <-- handle outline */ + background-color: var(--bg) !important; /* <-- handle fill */ +} + +/* drawer / controls stuff */ +/* +same as slider, just make the text follow the active theme +*/ +#controls-drawer { + color: var(--fg); +} + + +/* --- latex font --- */ +/* +i couldn't find an exact latex (computer modern) font sheet, so +i'm using the next closest thing i could find +*/ +.toggle-label { + font-family: "KaTeX_Main", "Latin Modern Roman", "Computer Modern", serif; + font-size: 17px; + font-weight: 400; + letter-spacing: 0.1px; + color: var(--fg); + opacity: 0.9; +} + +/* +in theory this should apply the font across the entire app so everything +is consistent - in practice plotly renders plots without seeing the +style sheet. what can ya do ¯\_(ツ)_/¯ +*/ +#app-shell, #app-shell * { + font-family: "KaTeX_Main", "Latin Modern Roman", "Computer Modern", serif; +} diff --git a/src/layup/orbit_maths.py b/src/layup/orbit_maths.py new file mode 100644 index 00000000..233cd496 --- /dev/null +++ b/src/layup/orbit_maths.py @@ -0,0 +1,636 @@ +import logging +from dataclasses import dataclass +from typing import Literal, Optional + +import numpy as np + +from layup.utilities.layup_configs import LayupConfigs +from layup.utilities.bootstrap_utilties.download_utilities import make_retriever + +from sorcha.ephemeris.simulation_geometry import equatorial_to_ecliptic +from sorcha.ephemeris.simulation_constants import ECL_TO_EQ_ROTATION_MATRIX, EQ_TO_ECL_ROTATION_MATRIX +from sorcha.ephemeris.orbit_conversion_utilities import universal_cartesian + +from assist import Ephem + +logger = logging.getLogger(__name__) + +# --- orbit types and their columns --- +ORBIT_FORMAT = Literal["BCART", "BCOM", "BKEP", "CART", "COM", "KEP"] +REQUIRED_COLUMN_NAMES: dict[str, list[str]] = { + "BCART": ["ObjID", "FORMAT", "x", "y", "z", "xdot", "ydot", "zdot", "epochMJD_TDB"], + "BCOM": ["ObjID", "FORMAT", "q", "e", "inc", "node", "argPeri", "t_p_MJD_TDB", "epochMJD_TDB"], + "BKEP": ["ObjID", "FORMAT", "a", "e", "inc", "node", "argPeri", "ma", "epochMJD_TDB"], + "CART": ["ObjID", "FORMAT", "x", "y", "z", "xdot", "ydot", "zdot", "epochMJD_TDB"], + "COM": ["ObjID", "FORMAT", "q", "e", "inc", "node", "argPeri", "t_p_MJD_TDB", "epochMJD_TDB"], + "KEP": ["ObjID", "FORMAT", "a", "e", "inc", "node", "argPeri", "ma", "epochMJD_TDB"], +} + +PLANET_PERIOD_DAYS = { + "Mercury": 87.969, + "Venus": 224.701, + "Earth": 365.256, + "Mars": 686.980, + "Jupiter": 4332.589, + "Saturn": 10759.22, + "Uranus": 30688.5, + "Neptune": 60182.0, +} + + +@dataclass(frozen=True) +class ClassicalConic: + "Data class for each object conic section" + + obj_id: np.ndarray + "object identifer tag" + L: np.ndarray + "object semilatus rectum (au)" + e: np.ndarray + "object eccentricity" + inc: np.ndarray + "object inclination (radians)" + node: np.ndarray + "object longitude of ascending node (radians)" + argp: np.ndarray + "object argument of perihelion (radians)" + epochMJD_TDB: np.ndarray + "epoch of object observation (MJD TDB)" + + +# --- converter --- +def convert_cart_to_classical_conic(rows: np.ndarray, mu: float) -> ClassicalConic: + """ + Convert cartesian elements into classical conic elements (L, e, i, Omega, omega) + + Parameters + ----------- + rows : numpy structured array + Array with all of the orbits (shape = (N,), i.e. one orbit per row/record) + + mu : float + Standard gravitional parameter (au^3 / day^2) + + Returns + -------- + ClassicalConic : object + Object instance containing N orbits and their classical elements + """ + # read each orbit id tag + obj_id = rows["ObjID"].astype(str) + + # set up our position and velocity vectors + r = np.vstack([rows["x"], rows["y"], rows["z"]]).T.astype(float) + v = np.vstack([rows["xdot"], rows["ydot"], rows["zdot"]]).T.astype(float) + + # calculate specific angular momentum: + # hvec = r x v + # hnorm = |hvcec| + hvec = np.cross(r, v) + hnorm = np.linalg.norm(hvec, axis=1) + + # calculate inclination: + # i = cos^-1(h_z / |h|) + # notes: hvec[:, 2] = h_z, we use np.maximum and np.clip to avoid + # division by zero and floating point arithmetic giving answers that + # aren't in the range -1 <= h_z / |h| <= 1 + incl = np.arccos(np.clip(hvec[:, 2] / np.maximum(hnorm, 1e-30), -1.0, 1.0)) + + # calculate the node vector: + # nvec = zhat x hvec + # nnorm = |nvec| + zhat = np.array([0.0, 0.0, 1.0]) + nvec = np.cross(np.tile(zhat, (r.shape[0], 1)), hvec) + nnorm = np.linalg.norm(nvec, axis=1) + + # calculate longitude of ascending node: + # Omega = atan2(n_y, n_x) + # notes: doing arctan2 rather than arccos just to skip having + # to check quadrants when nhat dot jhat > or < 0, then wrapping + # from what atan2 returns (-pi, pi] to [0, 2pi) + node = np.arctan2(nvec[:, 1], nvec[:, 0]) % (2 * np.pi) + + # calculate eccentricity vector: + # evec = (v x hvec)/mu - r/|r| + # e = |e| <- this is eccentricity + rnorm = np.linalg.norm(r, axis=1) + evec = (np.cross(v, hvec) / mu) - (r / rnorm[:, None]) + e = np.linalg.norm(evec, axis=1) + + # calculate semilatus rectum: + # L = |h|^2 / mu + L = hnorm**2 / mu + + # np.maxmimum prevents us doing division by 0 for circular + # orbits (e=0) or equatorial orbits (nnorm = 0) + e = np.maximum(e, 1e-30) + nnorm = np.maximum(nnorm, 1e-30) + + # calculate the argument of perihelion: + # omega = atan2(sin(omega), cos(omega)) + # cos(omega) = (nvec dot evec) / (|n||e|) + # sin(omega) = ((nvec x evec) dot hvec) / (|n||e||h|) + # note: we're clipping again for the same reasons as above + # (floating point arithmetic + division by zero), and we do + # np.sum as we have an (N, 3) list of orbits in e.g. nvec, so + # doing np.dot would result in matrix multiplication (if pedro + # reads this in future, yes np.einsum does this but i hate the + # notation :p). finally arctan2 once again solves quadrant issues + cosw = np.sum(nvec * evec, axis=1) / (nnorm * e) + cosw = np.clip(cosw, -1.0, 1.0) + sinw = np.sum(np.cross(nvec, evec) * hvec, axis=1) / (nnorm * e * np.maximum(hnorm, 1e-30)) + argp = np.arctan2(sinw, cosw) % (2 * np.pi) + + # finally check if orbit is sat in reference plane, if so we + # overwrrite Omega to be = 0, and even though omega is strictly + # undefined in this case, perihelion direction isn't due to evec, + # which we need to draw the orbit later, therefore we just recalc + # it as the angle from the ref x axis to perihelion again via atan2 + equatorial = nnorm < 1e-12 + if np.any(equatorial): + node[equatorial] = 0.0 + argp[equatorial] = np.arctan2(evec[equatorial, 1], evec[equatorial, 0]) % (2 * np.pi) + + return ClassicalConic( + obj_id=obj_id, L=L, e=e, inc=incl, node=node, argp=argp, epochMJD_TDB=rows["epochMJD_TDB"] + ) + + +# --- frame swapping --- +def rv_to_cart(obj_id: np.ndarray, r: np.ndarray, v: np.ndarray, epochMJD_TDB: np.ndarray) -> np.ndarray: + """ + Wrapper function to create structured array of cartesian elements from position+velocity state vectors + + Parameters + ----------- + obj_id : numpy string array + Object identifier tags + + r : numpy float array + Object position state vector with shape (N, 3) (au) + + v : numpy float array + Object velocity state vector with shape (N, 3) (au/day) + + epochMJD_TDB: numpy float array + Object epoch with shape (N, 3) (MJD TDB) + + Returns + -------- + out : numpy structured array + Array containing the cartesian elements (x,y,z,vx,vy,vz) with shape (N,) + """ + out = np.empty( + r.shape[0], + dtype=[ + ("ObjID", "U64"), + ("x", "f8"), + ("y", "f8"), + ("z", "f8"), + ("xdot", "f8"), + ("ydot", "f8"), + ("zdot", "f8"), + ("epochMJD_TDB", "f8"), + ], + ) + out["ObjID"] = obj_id.astype("U64") + out["x"], out["y"], out["z"] = r[:, 0], r[:, 1], r[:, 2] + out["xdot"], out["ydot"], out["zdot"] = v[:, 0], v[:, 1], v[:, 2] + out["epochMJD_TDB"] = epochMJD_TDB.astype("f8") + return out + + +def to_rv( + rows: np.ndarray, fmt: ORBIT_FORMAT, mu_sun: float, mu_total: float +) -> tuple[np.ndarray, np.ndarray]: + """ + Convert orbits into cartesian state vectors regardless of format utilising Sorcha functions. + Cometary/keplerian formats are converted using universal_cartesian() + + Parameters + ----------- + rows : numpy structured array + Array with all of the orbits (shape = (N,), i.e. one orbit per row/record) + + fmt : str + Format of the orbit. Must be one of "BCART", "BCOM", "BKEP", "CART", "COM", "KEP" + + mu_sun : float + Standard (heliocentric) gravitional parameter (au^3 / day^2) + + mu_total : float + Standard (barycentric) gravitional parameter (au^3 / day^2) + + Returns + -------- + r : numpy float array + Object position state vector with shape (N, 3) (au) + + v : numpy float array + Object velocity state vector with shape (N, 3) (au/day) + """ + epochJD = rows["epochMJD_TDB"].astype(float) + 2400000.5 + + # if it's cartesian we can just pass it straight through + if fmt in ("CART", "BCART"): + r = np.vstack([rows["x"], rows["y"], rows["z"]]).T.astype(float) + v = np.vstack([rows["xdot"], rows["ydot"], rows["zdot"]]).T.astype(float) + return r, v + # if it's cometary however, we convert to cartesian for easy origin shifting + if fmt in ("COM", "BCOM"): + mu = mu_sun if fmt == "COM" else mu_total + + q = rows["q"].astype(float) + e = rows["e"].astype(float) + incl = np.deg2rad(rows["inc"].astype(float)) + node = np.deg2rad(rows["node"].astype(float)) + argp = np.deg2rad(rows["argPeri"].astype(float)) + tpJD = rows["t_p_MJD_TDB"].astype(float) + 2400000.5 + + r = np.empty((rows.size, 3), dtype=float) + v = np.empty((rows.size, 3), dtype=float) + + for i in range(rows.size): + x, y, z, vx, vy, vz = universal_cartesian( + mu, q[i], e[i], incl[i], node[i], argp[i], tpJD[i], epochJD[i] + ) + r[i] = (x, y, z) + v[i] = (vx, vy, vz) + + return r, v + # same for keplerian orbits + if fmt in ("KEP", "BKEP"): + mu = mu_sun if fmt == "KEP" else mu_total + + a = rows["a"].astype(float) + e = rows["e"].astype(float) + incl = np.deg2rad(rows["inc"].astype(float)) + node = np.deg2rad(rows["node"].astype(float)) + argp = np.deg2rad(rows["argPeri"].astype(float)) + M = np.deg2rad(rows["ma"].astype(float)) + + M_wrap = M.copy() + idx = M_wrap > np.pi + M_wrap[idx] -= 2 * np.pi + + tpJD = epochJD - M_wrap * np.sqrt(a**3 / mu) + q = a * (1.0 - e) + + r = np.empty((rows.size, 3), dtype=float) + v = np.empty((rows.size, 3), dtype=float) + + for i in range(rows.size): + x, y, z, vx, vy, vz = universal_cartesian( + mu, q[i], e[i], incl[i], node[i], argp[i], tpJD[i], epochJD[i] + ) + r[i] = (x, y, z) + v[i] = (vx, vy, vz) + + return r, v + + logger.error(f"Unsupported format: {fmt}") + raise ValueError(f"Unsupported format: {fmt}") + + +def build_ephem_and_mus(cache_dir: Optional[str] = None) -> tuple[Ephem, float, float]: + """ + Create Assist instance utilising Layup functions in order to find standard gravitationl parameters + + Parameters + ----------- + cache_dir : str, optional + Cache directory containing Assist+Rebound files if used + + Returns + -------- + ephem : Assist object + Assist instance containing the Sun, planets, and massive perturbers + + mu_sun : float + Standard (heliocentric) gravitional parameter (au^3 / day^2) + + mu_total : float + Standard (barycentric) gravitional parameter (au^3 / day^2) + """ + # yoink layup's auxiliary config class to locate the user's cached files + configs = LayupConfigs() + aux = configs.auxiliary + + retriever = make_retriever(aux, cache_dir) + ephem = Ephem( + planets_path=retriever.fetch(aux.jpl_planets), asteroids_path=retriever.fetch(aux.jpl_small_bodies) + ) + + # calculate mu same way as in sorcha + mu_sun = ephem.get_particle("Sun", 0).m + mu_total = sum(sorted([ephem.get_particle(i, 0).m for i in range(27)])) + + return ephem, mu_sun, mu_total + + +def convert_sun_to_baryecliptic(ephem: Ephem, epochJD: np.ndarray) -> tuple[np.ndarray, np.ndarray]: + """ + Function to create translation vectors to go from barycentric to heliocentric origins + + Parameters + ----------- + ephem : assist Ephem object + Assist built ephemeris of the Sun, planets, and massive perturbers + + epochJD : numpy float array + Array of input object epochs in Julian dates of shape (N,) + + Returns + -------- + S_r : numpy float array + Translation barycentric -> heliocentric position vector of shape (N,3) + + S_v : numpy float array + Translation barycentric -> heliocentric velocity vector of shape (N,3) + """ + # we'll build a cache of the sun's state vectors in all four combinations here + cache: dict[float, object] = {} + S_r = np.empty((epochJD.size, 3), dtype=float) + S_v = np.empty((epochJD.size, 3), dtype=float) + + # we're just using assist here to get the sun's position at each epoch of our objects + for i, t in enumerate(epochJD): + t_key = float(t) + if t_key not in cache: + cache[t_key] = ephem.get_particle("Sun", t_key - ephem.jd_ref) + sun = cache[t_key] + + # quick convert to ecliptic as assist is in equatorial + S_r[i] = -equatorial_to_ecliptic([sun.x, sun.y, sun.z]) + S_v[i] = -equatorial_to_ecliptic([sun.vx, sun.vy, sun.vz]) + + return S_r, S_v + + +# --- build all variants --- +def prepopulate_orbit_variants( + rows: np.ndarray, + orbit_format: ORBIT_FORMAT, + input_plane: Literal["equatorial", "ecliptic"], + input_origin: Literal["heliocentric", "barycentric"], +) -> tuple[ + dict[tuple[str, str], ClassicalConic], + dict[tuple[str, str], np.ndarray], + dict[tuple[str, str], np.ndarray], + dict[tuple[str, str], np.ndarray], +]: + """ + Create an output cache of input object class instances, an empty placeholder dict for their + associated orbit lines, the Sun's positions, and the object's positions in all four combinations + of plane+origin + + Parameters + ----------- + rows : numpy structured array + Array with all of the orbits (shape = (N,), i.e. one orbit per row/record) + + orbit_format : str + String detailing the input orbit format. Must be one of "BCART", "BCOM", "BKEP", "CART", "COM", "KEP" + + input_plane : str + Input reference plane of the orbits. Must be one of "equatorial" or "ecliptic" + + input_origin : str + Input origin of the orbits. Must be one of "heliocentric" or "barycentric" + + Returns + -------- + canon_cache : dict of objects + Dictionary with the conic section class instances of each object and their properties + + lines_cache : dict of numpy array + Dictionary of arrays with the orbit lines for each object in each plane+origin combination + + sunpos_cache : dict of numpy array + Dictionary of arrays with the Sun positions in each plane+origin combination + + pos_cache : dict of numpy array + Dictionary of arrays with object positions in each plane+origin combination + """ + # grab our planets+major perturbers and solar gravitational parameters + # # (mu_sun = heliocentric, mu_total = barycentric) + ephem, mu_sun, mu_total = build_ephem_and_mus() + + obj_id = rows["ObjID"].astype(str) + epochJD = rows["epochMJD_TDB"].astype(float) + 2400000.5 + + # grab state vectors + r_raw, v_raw = to_rv(rows, orbit_format, mu_sun, mu_total) + S_r, S_v = convert_sun_to_baryecliptic(ephem, epochJD) + + # everything is easier if we start from one frame+origin combo, so let's choose + # heliocentric ecliptic and convert equa -> ecl first to this if needs be + if input_plane == "equatorial": + r_raw = np.dot(r_raw, EQ_TO_ECL_ROTATION_MATRIX) + v_raw = np.dot(v_raw, EQ_TO_ECL_ROTATION_MATRIX) + + # again, easier if it's heliocentric ecliptic, so convert bary -> helio + r_helio_eclipt = r_raw.copy() + v_helio_eclipt = v_raw.copy() + if input_origin == "barycentric": + r_helio_eclipt = r_helio_eclipt + S_r + v_helio_eclipt = v_helio_eclipt + S_v + + # now we can find heliocentric equatorial via obliquity rotation matrix + r_helio_equa = np.dot(r_helio_eclipt, ECL_TO_EQ_ROTATION_MATRIX) + v_helio_equa = np.dot(v_helio_eclipt, ECL_TO_EQ_ROTATION_MATRIX) + + # barycentric ecliptic is just a subtraction of the sun's barycentre state vector + r_bary_eclipt = r_helio_eclipt - S_r + v_bary_eclipt = v_helio_eclipt - S_v + + # and barycentric equatorial is another obliquity rotation matrix + r_bary_equa = np.dot(r_bary_eclipt, ECL_TO_EQ_ROTATION_MATRIX) + v_bary_equa = np.dot(v_bary_eclipt, ECL_TO_EQ_ROTATION_MATRIX) + + # now we build up our cache of different orbit lines + canon_cache: dict[tuple[str, str], ClassicalConic] = {} + lines_cache: dict[tuple[str, str], np.ndarray] = {} + + variants = { + ("helio", "ecl"): (r_helio_eclipt, v_helio_eclipt, mu_sun), + ("helio", "equ"): (r_helio_equa, v_helio_equa, mu_sun), + ("bary", "ecl"): (r_bary_eclipt, v_bary_eclipt, mu_total), + ("bary", "equ"): (r_bary_equa, v_bary_equa, mu_total), + } + + # these are for the scatter marker positions of the sun and the objects themselves + sunpos_cache = { + ("helio", "ecl"): np.array([0.0, 0.0, 0.0]), + ("helio", "equ"): np.array([0.0, 0.0, 0.0]), + ("bary", "ecl"): (-S_r[0]), + ("bary", "equ"): (np.dot(-S_r[0], ECL_TO_EQ_ROTATION_MATRIX)), + } + + pos_cache: dict[tuple[str, str], np.ndarray] = {} + + for key, (r_i, v_i, mu_i) in variants.items(): + pos_cache[key] = r_i + cart_rows = rv_to_cart(obj_id, r_i, v_i, rows["epochMJD_TDB"].astype(float)) + canon_cache[key] = convert_cart_to_classical_conic(cart_rows, mu_i) + + return canon_cache, lines_cache, sunpos_cache, pos_cache + + +# --- orbit line generation --- +def conic_lines_from_classical_conic( + canon: ClassicalConic, n_points: int = 200, r_max: float = 50.0 +) -> np.ndarray: + """ + Given a set of classical conic elements (L, e, i, Omega, omega), draw the line of the orbit via + conic section (see page 27 onwards in "Solar System Dynamics" by Murray & Dermott) + + Parameters + ----------- + canon : object + Object instance containing N orbits and their classical elements + + n_points : int, optional (default=200) + Number of points to use to construct the line + + r_max : float, optional (default=50.0 au) + Maximum distance to render out to for hyperbolic orbits + + Returns + -------- + r : numpy float array + Object position state vector with shape (N, n_points, 3) (au) + """ + # unpack classical elements for readability + e = canon.e + L = canon.L + + # set up true anomaly array + nu = np.empty((e.size, n_points)) + + # which orbits are elliptical or hyperbolic (and near-parabolic) + ell = e < 1.0 + hyp = ~ell + + # if elliptical, we just draw it from -pi to pi so it's centered on + # perihelion rather than 0 to 2pi + if np.any(ell): + nu[ell] = np.linspace(-np.pi, np.pi, n_points) + + # if hyperbolic, we want to draw the orbit out to some max position + # r_max, so our maximum angular extent is calculated as: + # nu_max = arccos( (L/r_max - 1)/e ) + # then we make our nu array by just making it as [-nu_max, +nu_max] + if np.any(hyp): + c = (L[hyp] / r_max - 1.0) / np.maximum(e[hyp], 1e-15) + c = np.clip(c, -1.0, 1.0) + nu_max = np.arccos(c) + t = np.linspace(-1.0, 1.0, n_points) + nu[hyp] = nu_max[:, None] * t + + # now we calculate radial distance of the conic section via the polar + # coordinates equation: + # r = L / (1 + e cos(nu)) + # note: as always we are preventing division by zero via np.maximum + rdist = L[:, None] / np.maximum(1.0 + e[:, None] * np.cos(nu), 1e-12) + + # now in the perifocal frame (ie origin at focus, q1 towards perihelion), + # the orbit will be in the q1q2 plane: + # qvec = (q1, q2, q3) = (r cos(nu), r sin(nu), 0) + q1 = rdist * np.cos(nu) + q2 = rdist * np.sin(nu) + q3 = np.zeros_like(q1) + + # and now we rotate back into inertial frame via rotation matrix: + # R = R_z(Omega)R_x(i)R_z(omega) + c0, s0 = np.cos(canon.node), np.sin(canon.node) + co, so = np.cos(canon.argp), np.sin(canon.argp) + ci, si = np.cos(canon.inc), np.sin(canon.inc) + + # we now find the position vector rvec by: + # rvec = (x, y, z) = R qvec + x = (c0 * co - s0 * so * ci)[:, None] * q1 + (-c0 * so - s0 * co * ci)[:, None] * q2 + y = (s0 * co + c0 * so * ci)[:, None] * q1 + (-s0 * so + c0 * co * ci)[:, None] * q2 + z = (so * si)[:, None] * q1 + (co * si)[:, None] * q2 + r = np.stack([x, y, z], axis=-1) + + return r + + +def build_planet_lines_cache( + ephem: Ephem, epochJD_center: float, planet_names: list[str], n_points: int = 800 +) -> tuple[dict[tuple[str, str], np.ndarray], np.ndarray]: + """ + + Parameters + ----------- + ephem : Assist object + Assist instance containing the Sun, planets, and massive perturbers + + epochJD_center : float + Reference epoch to use to sample ellipse symmetrically over one orbtial period (JD) + + planet_names : list + List of planet names as strings + + n_points : int, optional (default=800) + Number of points to use to construct the line + + Returns + -------- + planet_lines_cache : dict of arrays + Dictiionary of arrays containing planet orbit lines for each planet in each plane+origin + combination of shape (n_planets, n_points, 3) + + planet_id : numpy string array + Array containing ID tags for each planet of shape (n_planets,) + """ + # much like the object orbits, it will be easier if we start from some frame+origin and + # convert to the other 3 from there. we choose barycentric equatorial here + planet_id = np.array(planet_names, dtype="U32") + lines_bary_equ = np.empty((len(planet_names), n_points, 3), dtype=float) + + for p, name in enumerate(planet_names): + P = PLANET_PERIOD_DAYS[name] + if P is None: + logger.error(f"Missing period for planet: '{name}' in PLANET_PERIOD_DAYS") + raise KeyError(f"Missing period for planet: '{name}' in PLANET_PERIOD_DAYS") + + # basically build an ellipse of times to get the planet positions at where the epochJD_center + # is a reference epoch, which should just be the epoch of the first input object (no scatter + # points so really just need the shape of orbit) + epochJD = np.linspace(epochJD_center - float(P) / 2.0, epochJD_center + float(P) / 2.0, n_points) + + for i, jd in enumerate(epochJD): + part = ephem.get_particle(name, float(jd) - ephem.jd_ref) + lines_bary_equ[p, i, :] = (part.x, part.y, part.z) + + # this looks weird but it's just being fancy and instead of looping over it all we reshape + # lines_bary_equ from (N_planets, N_points, 3) -> (N_planets*N_points, 3) (ie one xyz per row) + # so we can apply rotation matrix quickly and easily. then we do the inverse reshape back + lines_bary_ecl = np.dot(lines_bary_equ.reshape(-1, 3), EQ_TO_ECL_ROTATION_MATRIX).reshape( + lines_bary_equ.shape + ) + + # because the sun has different positions at each planet's epochs, we need to redo S_r here + S_r_ecl = np.empty_like(lines_bary_ecl) + S_r_equ = np.empty_like(lines_bary_ecl) + + for p, name in enumerate(planet_names): + P = PLANET_PERIOD_DAYS[name] + epochJD = np.linspace(epochJD_center - float(P) / 2.0, epochJD_center + float(P) / 2.0, n_points) + + S_r, _ = convert_sun_to_baryecliptic(ephem, epochJD) + S_r_ecl[p, :, :] = S_r + S_r_equ[p, :, :] = np.dot(S_r, ECL_TO_EQ_ROTATION_MATRIX) + + # now we can simply build our cache of planets + planet_lines_cache: dict[tuple[str, str], np.ndarray] = {} + + planet_lines_cache[("bary", "equ")] = lines_bary_equ + planet_lines_cache[("bary", "ecl")] = lines_bary_ecl + + planet_lines_cache[("helio", "equ")] = lines_bary_equ + S_r_equ + planet_lines_cache[("helio", "ecl")] = lines_bary_ecl + S_r_ecl + + return planet_lines_cache, planet_id diff --git a/src/layup/visualize.py b/src/layup/visualize.py new file mode 100644 index 00000000..5343e550 --- /dev/null +++ b/src/layup/visualize.py @@ -0,0 +1,425 @@ +import logging +from pathlib import Path +from typing import Literal, Optional + +import numpy as np + +from layup.utilities.file_io.CSVReader import CSVDataReader +from layup.utilities.file_io.HDF5Reader import HDF5DataReader +from layup.utilities.data_processing_utilities import get_format + +from layup.orbit_maths import ( + REQUIRED_COLUMN_NAMES, + build_ephem_and_mus, + build_planet_lines_cache, + conic_lines_from_classical_conic, + prepopulate_orbit_variants, +) +from layup.dash_ui import plotly_2D, plotly_3D, run_dash_app + +logger = logging.getLogger(__name__) + +DASH_THREAD = None + + +def build_fig_caches( + rows: np.ndarray, + orbit_format: str, + input_plane: Literal["equatorial", "ecliptic"], + input_origin: Literal["heliocentric", "barycentric"], + n_points: int = 500, + r_max: float = 50.0, + cache_dir: Optional[str] = None, +): + """ """ + # get the assist ephem object and build epoch array + logger.info(f"Building Assist ephemeris for planets") + ephem, _, _ = build_ephem_and_mus(cache_dir) + epochJD_center = float(rows["epochMJD_TDB"].astype(float)[0] + 2400000.5) + + # construct planet lines + logger.info(f"Constructing planet orbit lines") + planet_names = ["Mercury", "Venus", "Earth", "Mars", "Jupiter", "Saturn", "Uranus", "Neptune"] + planet_lines_cache, planet_id = build_planet_lines_cache( + ephem, + epochJD_center, + planet_names=planet_names, + n_points=900, + ) + + # construct input orbits lines, scatters, and sun positions + logger.info(f"Constructing input object orbit lines") + conic_cache, lines_cache, sunpos_cache, pos_cache = prepopulate_orbit_variants( + rows, + orbit_format, + input_plane=input_plane, + input_origin=input_origin, + ) + + for key, conic in conic_cache.items(): + lines_cache[key] = conic_lines_from_classical_conic( + conic, + n_points=n_points, + r_max=r_max, + ) + + logger.info( + f"Creating cache of all input object and/or planet lines in heliocentric+barycentric && equatorial+ecliptic frames" + ) + # create caches of all figure combinations + PANELS = ("XY", "XZ", "YZ") + fig2d_cache = {} + fig3d_cache = {} + for key in conic_cache.keys(): + # 3D has few variants + fig3d_cache[key] = plotly_3D( + lines_cache[key], + conic_cache[key], + sun_xyz=sunpos_cache[key], + orbit_pos=pos_cache[key], + planet_lines=planet_lines_cache[key], + planet_id=planet_id, + plot_sun=True, + return_fig=True, + ) + + # 2D however has ref plane + origin + XY/XZ/YZ panel combinations + single or double panels + # first do single panel variants + for p in PANELS: + fig2d_cache[(key[0], key[1], "single", p, None)] = plotly_2D( + lines_cache[key], + conic_cache[key], + sun_xyz=sunpos_cache[key], + orbit_pos=pos_cache[key], + planet_lines=planet_lines_cache[key], + planet_id=planet_id, + plot_sun=True, + panel=p, + return_fig=True, + ) + + # now do double panel variants: + for pL in PANELS: + for pR in PANELS: + fig2d_cache[(key[0], key[1], "double", pL, pR)] = plotly_2D( + lines_cache[key], + conic_cache[key], + sun_xyz=sunpos_cache[key], + orbit_pos=pos_cache[key], + planet_lines=planet_lines_cache[key], + planet_id=planet_id, + plot_sun=True, + panels=(pL, pR), + return_fig=True, + ) + + return fig2d_cache, fig3d_cache + + +def visualize_cli( + input: str, + input_plane: Optional[Literal["equatorial", "ecliptic"]] = None, + input_origin: Optional[Literal["heliocentric", "barycentric"]] = None, + num_orbs: int = 100, + block_size: int = 10000, + n_points: int = 500, + r_max: float = 50.0, + random: bool = False, + cache_dir: Optional[str] = None, +): + """ + Create visualisation plots of a given set of input orbits from the command line + + Parameters + ----------- + input : str + Input file path + + input_plane : str, optional (default=None) + Input file reference plane. Must be one of "equatorial", "ecliptic" + + input_origin : str, optional (default=None) + Input file frame of origin. Must be one of "heliocentric", "barycentric" + + num_orbs : int, optional (default=100) + Number of orbits to plot at once + + block_size : int, optional (default=10000) + Number of rows to read per time in the input file reader + + n_points : int, optional (default=500) + Number of points sampled when constructing the line + + r_max : float, optional (default=50 au) + Maximum distance to render hyperbolic orbits out to + + random : bool, optional (default=False) + Flag to turn on/off random orbit plotting + + cache_dir : str, optional (default=None) + Path to directory of cached auxiliary data + """ + + logger.info(f"Reading input file: {input}") + # read in input + input_file = Path(input) + if not input_file.exists(): + logger.error(f"File not found: {input}") + raise FileNotFoundError(input_file) + + # probe reader to get format + logger.info(f"Probing input to infer orbit origin, reference plane, and format...") + suffix = input_file.suffix.lower() + if suffix == ".csv": + probe_reader = CSVDataReader( + input_file, format_column_name="FORMAT", required_column_names=["FORMAT"] + ) + else: + probe_reader = HDF5DataReader( + input_file, format_column_name="FORMAT", required_column_names=["FORMAT"] + ) + probe_rows = probe_reader.read_rows(block_start=0, block_size=100) + if "FORMAT" in probe_rows.dtype.names: + n = np.unique(probe_rows["FORMAT"]) + if n.size != 1: + logger.error(f"Expected a single FORMAT in file, found {n}") + raise ValueError(f"Expected a single FORMAT in file, found {n}") + orbit_format = get_format(probe_rows) + + # infer some stuff about the input + input_origin_infer = input_origin + input_plane_infer = input_plane + input_format_infer = orbit_format + + # BCART_EQ can be normalised down to BCART to not break maths later, + # and we just asign equatorial now + if input_format_infer == "BCART_EQ": + input_format_infer = "BCART" + if input_plane_infer is None: + logger.warning( + "FORMAT=BCART_EQ implies using equatorial plane. Setting --input-plane = equatorial" + ) + # raise Warning("FORMAT=BCART_EQ implies using equatorial plane. Setting --input-plane = equatorial") + input_plane_infer = "equatorial" + + # infer origin if not user supplied + if input_origin_infer is None: + input_origin_infer = "barycentric" if input_format_infer.startswith("B") else "heliocentric" + logger.warning( + f"--input-origin not provided. Inferring {input_origin_infer} from input file column FORMAT={orbit_format}" + ) + # raise Warning(f"--input-origin not provided. Inferring {input_origin_infer} from input file column FORMAT={orbit_format}") + + # infer plane if not user supplied + if input_plane_infer is None: + if input_format_infer in ("COM", "BCOM", "KEP", "BKEP"): + input_plane_infer = "ecliptic" + logger.warning( + f"--input-plane not provided. Inferring ecliptic for input file column FORMAT={orbit_format}" + ) + raise Warning( + f"--input-plane not provided. Inferring ecliptic for input file column FORMAT={orbit_format}" + ) + else: + logger.warning( + "--input-plane is required for CART/BCART formats unless FORMAT column encodes it (e.g. BCART_EQ)" + ) + # raise Warning("--input-plane is required for CART/BCART formats unless FORMAT column encodes it (e.g. BCART_EQ)") + + logger.info(f"Inferred input orbit origin: {input_origin_infer}") + logger.info(f"Inferred input orbit reference plane: {input_plane_infer}") + logger.info(f"Inferred input orbit format: {input_format_infer}") + + # full reader with required columns + logger.info(f"Reading full input file: {input}") + required_cols = REQUIRED_COLUMN_NAMES[orbit_format] + if suffix == ".csv": + reader = CSVDataReader(input_file, format_column_name="FORMAT", required_column_names=required_cols) + else: + reader = HDF5DataReader(input_file, format_column_name="FORMAT", required_column_names=required_cols) + rows = reader.read_rows(block_start=0, block_size=block_size) + + # make sure we actually have the requested number of orbits, else return all, + # then either randomly sample that many or sample the first that many + if num_orbs > rows.size: + num_orbs = rows.size + logger.warning( + f"Requested {num_orbs} orbits, but only {rows.size} orbits in input. Capping to {rows.size}" + ) + # raise Warning("--input-plane is required for CART/BCART formats unless FORMAT column encodes it (e.g. BCART_EQ)") + if random: + logger.info(f"Sampling {num_orbs} random orbits") + rows = rows[np.random.choice(rows.size, size=num_orbs, replace=False)] + else: + logger.info(f"Sampling first {num_orbs} orbits") + rows = rows[:num_orbs] + + # quick check to make sure orbit format didn't change somehow between probe and full read + orbit_format_check = get_format(rows) + if orbit_format_check != orbit_format: + logger.error(f"FORMAT changed between probe and full read: {orbit_format} -> {orbit_format_check}") + raise ValueError( + f"FORMAT changed between probe and full read: {orbit_format} -> {orbit_format_check}" + ) + + fig2d_cache, fig3d_cache = build_fig_caches( + rows=rows, + orbit_format=orbit_format, + input_plane=input_format_infer, + input_origin=input_origin_infer, + n_points=n_points, + r_max=r_max, + cache_dir=cache_dir, + ) + + logger.info(f"Running Dash web app") + run_dash_app(fig2d_cache, fig3d_cache) + + +def visualize_notebook( + data: str | Path | np.ndarray, + input_plane: Optional[Literal["equatorial", "ecliptic"]] = None, + input_origin: Optional[Literal["heliocentric", "barycentric"]] = None, + num_orbs: int = 100, + block_size: int = 10000, + n_points: int = 500, + r_max: float = 50.0, + random: bool = False, + cache_dir: Optional[str] = None, +): + """ + Create visualisation plots of a given set of input orbits in a Jupyter notebook + + Parameters + ----------- + input : str + Input file path + + input_plane : str, optional (default=None) + Input file reference plane. Must be one of "equatorial", "ecliptic" + + input_origin : str, optional (default=None) + Input file frame of origin. Must be one of "heliocentric", "barycentric" + + num_orbs : int, optional (default=100) + Number of orbits to plot at once + + block_size : int, optional (default=10000) + Number of rows to read per time in the input file reader + + n_points : int, optional (default=500) + Number of points sampled when constructing the line + + r_max : float, optional (default=50 au) + Maximum distance to render hyperbolic orbits out to + + random : bool, optional (default=False) + Flag to turn on/off random orbit plotting + + cache_dir : str, optional (default=None) + Path to directory of cached auxiliary data + """ + if isinstance(data, (str, Path)): + visualize_cli( + str(data), + input_plane=input_plane, + input_origin=input_origin, + num_orbs=num_orbs, + block_size=block_size, + n_points=n_points, + r_max=r_max, + random=random, + cache_dir=cache_dir, + ) + elif isinstance(data, np.ndarray): + if data.dtype.names is None or "FORMAT" not in data.dtype.names: + logger.error( + "Structured array input must contain a FORMAT column, which must be one of: ['CART'. 'BCART', 'BCART_EQ', 'KEP', 'BKEP', 'COM', 'BCOM'])" + ) + raise ValueError( + "Structured array input must contain a FORMAT column, which must be one of: ['CART'. 'BCART', 'BCART_EQ', 'KEP', 'BKEP', 'COM', 'BCOM'])" + ) + + rows = data + orbit_format = get_format(rows) + + input_origin_infer = input_origin + input_plane_infer = input_plane + input_format_infer = orbit_format + + # BCART_EQ can be normalised down to BCART to not break maths later, + # and we just asign equatorial now + if input_format_infer == "BCART_EQ": + input_format_infer = "BCART" + if input_plane_infer is None: + logger.warning( + "FORMAT=BCART_EQ implies using equatorial plane. Setting --input-plane = equatorial" + ) + # raise Warning("FORMAT=BCART_EQ implies using equatorial plane. Setting --input-plane = equatorial") + input_plane_infer = "equatorial" + + # infer origin if not user supplied + if input_origin_infer is None: + input_origin_infer = "barycentric" if input_format_infer.startswith("B") else "heliocentric" + logger.warning( + f"--input-origin not provided. Inferring {input_origin_infer} from input file format column FORMAT={orbit_format}" + ) + # raise Warning(f"--input-origin not provided. Inferring {input_origin_infer} from input file column FORMAT={orbit_format}") + + # infer plane if not user supplied + if input_plane_infer is None: + if input_format_infer in ("COM", "BCOM", "KEP", "BKEP"): + input_plane_infer = "ecliptic" + logger.warning( + f"--input-plane not provided. Inferring ecliptic for input file format column FORMAT={orbit_format}" + ) + # raise Warning(f"--input-plane not provided. Inferring ecliptic for input file column FORMAT={orbit_format}") + else: + logger.warning( + "--input-plane is required for CART/BCART formats unless FORMAT column encodes it (e.g. BCART_EQ)" + ) + # raise Warning("--input-plane is required for CART/BCART formats unless FORMAT column encodes it (e.g. BCART_EQ)") + + logger.info(f"Inferred input orbit origin: {input_origin_infer}") + logger.info(f"Inferred input orbit reference plane: {input_plane_infer}") + logger.info(f"Inferred input orbit format: {input_format_infer}") + + # make sure we actually have the requested number of orbits, else return all, + # then either randomly sample that many or sample the first that many + if num_orbs > rows.size: + logger.warning( + f"Requested {num_orbs} orbits, but only {rows.size} orbits in input. Capping to {rows.size}" + ) + num_orbs = rows.size + # raise Warning("--input-plane is required for CART/BCART formats unless FORMAT column encodes it (e.g. BCART_EQ)") + if random: + logger.info(f"Sampling {num_orbs} random orbits") + rows = rows[np.random.choice(rows.size, size=num_orbs, replace=False)] + else: + logger.info(f"Sampling first {num_orbs} orbits") + rows = rows[:num_orbs] + + # quick check to make sure orbit format didn't change somehow between probe and full read + orbit_format_check = get_format(rows) + if orbit_format_check != orbit_format: + logger.error( + f"FORMAT changed between probe and full read: {orbit_format} -> {orbit_format_check}" + ) + raise ValueError( + f"FORMAT changed between probe and full read: {orbit_format} -> {orbit_format_check}" + ) + + fig2d_cache, fig3d_cache = build_fig_caches( + rows=rows, + orbit_format=orbit_format, + input_plane=input_format_infer, + input_origin=input_origin_infer, + n_points=n_points, + r_max=r_max, + cache_dir=cache_dir, + ) + + run_dash_app(fig2d_cache, fig3d_cache) + + else: + raise TypeError("Input data must be a file path or a numpy structured array") diff --git a/src/layup_cmdline/visualize.py b/src/layup_cmdline/visualize.py index bfddd848..0da6bf6c 100644 --- a/src/layup_cmdline/visualize.py +++ b/src/layup_cmdline/visualize.py @@ -1,10 +1,7 @@ -# -# The `layup visualize` subcommand implementation -# import argparse -from layup_cmdline.layupargumentparser import LayupArgumentParser import logging -import sys + +from layup_cmdline.layupargumentparser import LayupArgumentParser logger = logging.getLogger(__name__) @@ -13,98 +10,115 @@ def main(): parser = LayupArgumentParser( prog="layup visualize", formatter_class=argparse.ArgumentDefaultsHelpFormatter, - description="This would start visualize", + description="Launch the interactive orbit visualizer (Dash).", ) positionals = parser.add_argument_group("Positional arguments") positionals.add_argument( - help="input orbit file", + help="input orbit file (csv or hdf5)", dest="input", type=str, ) + frame = parser.add_argument_group("Frame arguments") + frame.add_argument( + "--input-plane", + help="reference plane of the input orbit elements", + dest="input_plane", + type=str, + choices=["equatorial", "ecliptic"], + required=False, + default=None, + ) + frame.add_argument( + "--input-origin", + help="origin of the input orbit elements", + dest="input_origin", + type=str, + choices=["heliocentric", "barycentric"], + required=False, + default=None, + ) + optional = parser.add_argument_group("Optional arguments") optional.add_argument( - "-i", - "--input-type", - help="input format type of file", - dest="i", - type=str.lower, - default="csv", + "--block-size", + help="number of rows to read from file (initial load)", + dest="block_size", + type=int, + default=10000, required=False, ) optional.add_argument( "-n", - "--num", - help="random number of orbits to take from input file", - dest="n", - type=str, - default=1000, + "--num-orbs", + help="random number of orbits to plot (sampled without replacement)", + dest="num_orbs", + type=int, + default=100, required=False, ) optional.add_argument( - "-d", - "--dimensions", - help="dimensions the plot will be in [2D, 3D]", - dest="d", - type=str, - default="2D", + "--n-points", + help="number of points per orbit line", + dest="n_points", + type=int, + default=500, required=False, ) optional.add_argument( - "-b", - "--backend", - help="backend used for plotting [matplot, plotly]", - dest="b", - type=str, - default="matplot", + "--r-max", + help="maximum radius (au) when drawing hyperbolic orbits", + dest="r_max", + type=float, + default=50.0, required=False, ) optional.add_argument( - "-o", - "--output", - help="output file stem. default path is current working directory", - dest="o", + "--random", + help="randomly display --num_orbs from input file", + dest="random", + type=bool, + default=False, + required=False, + ) + optional.add_argument( + "--ar-data-file-path", + dest="ar_data_file_path", type=str, - default="output", + default=None, required=False, + help=argparse.SUPPRESS, # hide from --help, i don't think a visualize user will be specifying this, but it is needed for bootstrapping fles if user doesn't have them ) args = parser.parse_args() - return execute(args) def execute(args): + from layup.visualize import visualize_cli + from layup.utilities.file_access_utils import find_file_or_exit + from layup.utilities.bootstrap_utilties.download_utilities import download_files_if_missing + from layup.utilities.layup_configs import LayupConfigs - from layup.utilities.file_access_utils import find_file_or_exit, find_directory_or_exit - from layup.utilities.layup_logging import LayupLogger + configs = LayupConfigs() + download_files_if_missing(configs.auxiliary, args) - layup_logger = LayupLogger() - logger = layup_logger.get_logger("layup.visualize_cmdline") + cache_dir = getattr(args, "ar_data_file_path", None) - # check input exists find_file_or_exit(args.input, "input") - # Check that output directory exists - find_directory_or_exit(args.o, "-o, --") - - # check format of input file - if args.i.lower() == "csv": - output_file = args.o + ".csv" - elif args.i.lower() == "hdf5": - output_file = args.o + ".h5" - else: - logger.error("File format must be 'csv' or 'hdf5'") - sys.exit("ERROR: File format must be 'csv' or 'hdf5'") - - if args.d.upper() not in ["2D", "3D"]: - logger.error(f"Value for -d --dimensions must be '2D' or '3D', but is {args.d.upper()}") - sys.exit("ERROR: -d --dimensions must be '2D' or '3D'") - - if args.b not in ["matplot", "plotly"]: - logger.error(f"Value for -b --backend must be 'matplot' or 'plotly', but is {args.b}") - sys.exit("ERROR: -b --backend must be 'matplot' or 'plotly'") + visualize_cli( + input=args.input, + input_plane=args.input_plane, + input_origin=args.input_origin, + num_orbs=args.num_orbs, + block_size=args.block_size, + n_points=args.n_points, + r_max=args.r_max, + random=args.random, + cache_dir=cache_dir, + ) if __name__ == "__main__":