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December 4, 2015 00:42
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Detecting Transits with REBOUND\n", | |
"The following code finds transits along the x-axis of a one planet system." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import rebound\n", | |
"import math" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"sim = rebound.Simulation()\n", | |
"sim.add(m=1)\n", | |
"sim.add(a=1,e=0.1,omega=0.25)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"6.07928466797\n", | |
"12.3624627686\n", | |
"18.6456561279\n", | |
"24.9288342285\n", | |
"31.2120275879\n" | |
] | |
} | |
], | |
"source": [ | |
"transittimes = []\n", | |
"p = sim.particles\n", | |
"while len(transittimes)<5:\n", | |
" y_old = p[1].y\n", | |
" t_old = sim.t\n", | |
" DT = 1. # check for transits every DT time units. DT must be shorter than one orbit\n", | |
" sim.integrate(sim.t+DT) \n", | |
" t_new = sim.t\n", | |
" if y_old*p[1].y<0. and p[1].x>0.: # sign changed:\n", | |
" while math.fabs(p[1].y)>1e-5: # bisect until prec of 1e-5 reached\n", | |
" if y_old*p[1].y<0.:\n", | |
" t_new = sim.t\n", | |
" else:\n", | |
" t_old = sim.t\n", | |
" sim.integrate( (t_new+t_old)/2.)\n", | |
" transittimes.append(sim.t)\n", | |
" print sim.t\n", | |
" sim.integrate(sim.t+0.01) # integrate a little to be past the transit " | |
] | |
} | |
], | |
"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 | |
} |
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