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Last active October 16, 2020 13:21
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projects/Untitled5.ipynb
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{
"cells": [
{
"metadata": {
"ExecuteTime": {
"end_time": "2020-10-15T19:25:39.012805Z",
"start_time": "2020-10-15T19:25:39.008852Z"
},
"trusted": true
},
"cell_type": "code",
"source": "import astropy.coordinates as coord\nimport astropy.table as at\nfrom astropy.time import Time\nimport astropy.units as u\nimport matplotlib as mpl\nimport matplotlib.pyplot as plt\n%matplotlib inline\nimport numpy as np",
"execution_count": 3,
"outputs": []
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2020-10-16T13:21:22.626882Z",
"end_time": "2020-10-16T13:21:22.632990Z"
}
},
"cell_type": "code",
"source": "c = coord.SkyCoord(\n ra=15.424*u.deg, \n dec=53.117*u.deg,\n distance=17.235*u.pc,\n pm_ra_cosdec=0.213*u.arcsecond/u.yr,\n pm_dec=0.2134*u.arcsecond/u.yr,\n radial_velocity=15.5235*u.km/u.s,\n obstime=Time('J2010.1')\n)",
"execution_count": 73,
"outputs": []
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2020-10-16T13:21:23.040518Z",
"end_time": "2020-10-16T13:21:23.045204Z"
}
},
"cell_type": "code",
"source": "ts = c.obstime + np.arange(0, 10, 1/365) * u.year",
"execution_count": 74,
"outputs": []
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2020-10-16T13:21:23.214132Z",
"end_time": "2020-10-16T13:21:23.220476Z"
}
},
"cell_type": "code",
"source": "c.velocity",
"execution_count": 75,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 75,
"data": {
"text/plain": "<CartesianDifferential (d_x, d_y, d_z) in km / s\n (-9.09049801, 15.54467527, 22.88098428)>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2020-10-16T13:21:23.606228Z",
"end_time": "2020-10-16T13:21:23.614509Z"
}
},
"cell_type": "code",
"source": "pos_at_ts = c.data.to_cartesian() + c.velocity.to_cartesian() * (ts - c.obstime)\n\n# Assume constant velocity:\nvel_at_ts = c.velocity + coord.CartesianDifferential(np.zeros((3, len(ts))) * u.km/u.s)",
"execution_count": 76,
"outputs": []
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2020-10-16T13:21:23.797350Z",
"end_time": "2020-10-16T13:21:23.803649Z"
}
},
"cell_type": "code",
"source": "c_at_ts = coord.SkyCoord(pos_at_ts.with_differentials(vel_at_ts), \n obstime=ts)",
"execution_count": 77,
"outputs": []
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2020-10-16T13:21:23.927892Z",
"end_time": "2020-10-16T13:21:23.934628Z"
}
},
"cell_type": "code",
"source": "(c_at_ts[-1].radial_velocity - c_at_ts[0].radial_velocity).to(u.m/u.s)",
"execution_count": 78,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 78,
"data": {
"text/plain": "<Quantity 0.35998746 m / s>",
"text/latex": "$0.35998746 \\; \\mathrm{\\frac{m}{s}}$"
},
"metadata": {}
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2020-10-16T13:21:24.357828Z",
"end_time": "2020-10-16T13:21:24.361489Z"
},
"trusted": true
},
"cell_type": "code",
"source": "loc = coord.EarthLocation('149d33m00.5s', '-30d18m46.385s', 236.87*u.m)",
"execution_count": 79,
"outputs": []
},
{
"metadata": {
"trusted": true,
"ExecuteTime": {
"start_time": "2020-10-16T13:21:24.746952Z",
"end_time": "2020-10-16T13:21:26.934731Z"
}
},
"cell_type": "code",
"source": "vcorr = c_at_ts.radial_velocity_correction(obstime=c_at_ts.obstime,\n location=loc)",
"execution_count": 80,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2020-10-16T13:21:27.668419Z",
"end_time": "2020-10-16T13:21:27.791505Z"
},
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(vcorr.to_value(u.km/u.s))",
"execution_count": 81,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 81,
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x7fcdb26e4790>]"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 390,
"height": 252
},
"needs_background": "light"
}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"_draft": {
"nbviewer_url": "https://gist.github.com/b1e1af67809d5d046485794fa79ca5cb"
},
"gist": {
"id": "b1e1af67809d5d046485794fa79ca5cb",
"data": {
"description": "projects/Untitled5.ipynb",
"public": true
}
},
"kernelspec": {
"name": "conda-root-py",
"display_name": "Python [conda env:root] *",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.8.3",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"base_numbering": 1,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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