{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Visualizing advancement of perihelion in Schwarzschild space-time"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import astropy.units as u\n",
"\n",
"from plotly.offline import init_notebook_mode\n",
"\n",
"from einsteinpy.plotting import GeodesicPlotter\n",
"from einsteinpy.coordinates import SphericalDifferential\n",
"from einsteinpy.bodies import Body\n",
"from einsteinpy.geodesic import Geodesic"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/vnd.plotly.v1+html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"init_notebook_mode(connected=True)\n",
"# Essential when using Jupyter Notebook (May skip in Jupyter Lab)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Defining various parameters\n",
" - Mass of the attractor(M)\n",
" - Initial position and velocity vectors of test partcle"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"Attractor = Body(name=\"BH\", mass=6e24 * u.kg, parent=None)\n",
"sph_obj = SphericalDifferential(130*u.m, np.pi/2*u.rad, -np.pi/8*u.rad,\n",
" 0*u.m/u.s, 0*u.rad/u.s, 1900*u.rad/u.s)\n",
"Object = Body(differential=sph_obj, parent=Attractor)\n",
"geodesic = Geodesic(body=Object, time=0 * u.s, end_lambda=0.002, step_size=5e-8)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plotting the trajectory"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
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"marker": {
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0
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0
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