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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": {
"start_time": "2020-10-15T19:25:39.008852Z",
"end_time": "2020-10-15T19:25:39.012805Z"
},
"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": {
"ExecuteTime": {
"start_time": "2020-10-15T19:29:02.782694Z",
"end_time": "2020-10-15T19:29:02.786870Z"
},
"trusted": true
},
"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=0.513*u.arcsecond/u.yr,\n pm_dec=0.8134*u.arcsecond/u.yr,\n radial_velocity=25.5235*u.km/u.s,\n obstime=Time('J2015.5')\n)",
"execution_count": 29,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2020-10-15T19:29:03.790916Z",
"end_time": "2020-10-15T19:29:03.794699Z"
},
"trusted": true
},
"cell_type": "code",
"source": "ts = c.obstime + np.arange(0, 10, 1/365) * u.year",
"execution_count": 30,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2020-10-15T19:33:33.298491Z",
"end_time": "2020-10-15T19:33:33.302931Z"
},
"trusted": true
},
"cell_type": "code",
"source": "c.velocity",
"execution_count": 40,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 40,
"data": {
"text/plain": "<CartesianDifferential (d_x, d_y, d_z) in km / s\n (-47.62171267, 30.3404001, 60.30130237)>"
},
"metadata": {}
}
]
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2020-10-15T19:34:16.628255Z",
"end_time": "2020-10-15T19:34:16.635012Z"
},
"trusted": true
},
"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": 42,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2020-10-15T19:34:24.640284Z",
"end_time": "2020-10-15T19:34:24.649194Z"
},
"trusted": true
},
"cell_type": "code",
"source": "c_at_ts = coord.SkyCoord(pos_at_ts.with_differentials(vel_at_ts), \n obstime=ts)",
"execution_count": 45,
"outputs": []
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2020-10-15T20:37:35.502724Z",
"end_time": "2020-10-15T20:37:35.535019Z"
},
"trusted": true
},
"cell_type": "code",
"source": "(c_at_ts[-1].radial_velocity - c_at_ts[0].radial_velocity).to(u.m/u.s)",
"execution_count": 48,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 48,
"data": {
"text/plain": "<Quantity 3.66202397 m / s>",
"text/latex": "$3.662024 \\; \\mathrm{\\frac{m}{s}}$"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "conda-root-py",
"display_name": "Python [conda env:root] *",
"language": "python"
},
"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
},
"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"
},
"gist": {
"id": "",
"data": {
"description": "projects/Untitled5.ipynb",
"public": true
}
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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