Skip to content

Instantly share code, notes, and snippets.

@bmorris3
Last active November 4, 2015 23:55
Show Gist options
  • Select an option

  • Save bmorris3/e98060b78d3d437ffc71 to your computer and use it in GitHub Desktop.

Select an option

Save bmorris3/e98060b78d3d437ffc71 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Download the DSN JSON file from spaceprob.es"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Downloading http://murmuring-anchorage-8062.herokuapp.com/dsn/probes.json [Done]\n"
]
}
],
"source": [
"from astropy.utils.data import download_file\n",
"import json\n",
"import numpy as np\n",
"import astropy.units as u\n",
"\n",
"dsn_url = 'http://murmuring-anchorage-8062.herokuapp.com/dsn/probes.json'\n",
" \n",
"f = download_file(dsn_url)\n",
"dsn = json.loads(open(f).read())['dsn_by_probe']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Grab only the distances and spacecraft names from the `spaceprob.es` file:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"spacecraft = []\n",
"distances = []\n",
"\n",
"for probe in dsn:\n",
" if 'downlegRange' in dsn[probe]:\n",
" distance = dsn[probe]['downlegRange']\n",
" \n",
" if distance != '-1.0':\n",
" spacecraft.append(probe)\n",
" distances.append(float(distance))\n",
"\n",
"distances = np.array(distances)*u.km"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generate random alt/az coords for each spacecraft. Then use astropy coordinates to convert these coordinates to cartesian coordinates. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from astropy.coordinates import SkyCoord, CartesianRepresentation\n",
"\n",
"altitude = 180*np.random.rand(len(spacecraft))*u.deg - 90*u.deg\n",
"azimuth = 360*np.random.rand(len(spacecraft))*u.deg\n",
"\n",
"coords = SkyCoord(alt=altitude, az=azimuth, distance=distances, frame='altaz')\n",
"cartesian_coords = coords.cartesian"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-1000000000.0, 1000000000.0)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAETCAYAAAAxsG14AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1089d9cd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(cartesian_coords.x, cartesian_coords.y, '.')\n",
"plt.xlim([-1e9, 1e9])\n",
"plt.ylim([-1e9, 1e9])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Vizualize with `matplotlib`"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/bmorris/anaconda/lib/python2.7/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAADtCAYAAAAcNaZ2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFllkkcVBxP8Hy3dyvu+pVQsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1038727d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"import matplotlib.pyplot as plt\n",
"\n",
"fig = plt.figure()\n",
"ax = plt.axes(projection='3d')\n",
"\n",
"ax.scatter(cartesian_coords.x, cartesian_coords.y, cartesian_coords.z);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment