'P':
float(data[pmask]['pl_orbper'].iloc[i]),
'inc':
3.14159 / 2,
'e':
float(data[pmask]['pl_orbeccen'].iloc[i]),
'omega':
0
})
# create REBOUND simulation
sim = generate(objects)
print(objects)
# year long integrations, timestep = 1 hour
sim_data = integrate(sim, objects, 20 * objects[-1]['P'],
int(20 * objects[-1]['P'] * 24))
# collect the analytics from the simulation
ttv_data = analyze(sim_data)
#if name=='Kepler-30':
# import pdb; pdb.set_trace()
# save simulation data
for i in range(pmask.sum()):
iname = data[pmask].iloc[i].name
data.at[iname, 'ttv'] = np.percentile(
np.abs(ttv_data['planets'][i]['ttv']) * 24 * 60, 90)
mask = (data.ttv > 1) & (data.pl_ttvflag == 1)
print(data[mask].sort_values('ttv', ascending=False).get([
'e': [0.025, 0.05],
'omega': [np.pi / 4, np.pi / 2],
# add longitude of ascending node
},
{
'm': [2 * mjup / msun, 10 * mjup / msun],
'P': [6, 9],
'inc': [np.pi / 2 * 0.8, np.pi / 2 * 0.9],
'e': [0.05, 0.075],
'omega': [np.pi / 4, np.pi / 2],
},
]
# run original simulation
sim = generate(objects)
sim_data = integrate(sim, objects, 180, 180 *
24) # year long integrations, timestep = 1 minute
ttv_data_og = analyze(sim_data)
# create a plot
f = plt.figure(figsize=(9, 13))
plt.subplots_adjust()
ax = [
plt.subplot2grid((6, 2), (0, 0)),
plt.subplot2grid((6, 2), (1, 0)),
plt.subplot2grid((6, 2), (2, 0)),
plt.subplot2grid((6, 2), (3, 0)),
plt.subplot2grid((6, 2), (4, 0)),
plt.subplot2grid((6, 2), (5, 0)),
plt.subplot2grid((6, 2), (1, 1)),
plt.subplot2grid((6, 2), (2, 1)),
plt.subplot2grid((6, 2), (3, 1)),
def get_ttv(objects, ndays=60, ttvfast=True):
sim = generate(objects)
sim_data = integrate(sim, objects, ndays, ndays * 24 * 2) # dt=30 minutes
return analyze(sim_data, ttvfast=ttvfast)
'e': 0.0457
}, # Uranus
{
'm': 17.15 * mearth / msun,
'P': 59799.9,
'inc': 3.14159 / 2,
'e': 0.0113
}, # Neptune
]
# inclination does not have a strong effect on TTVs so ignore
# create REBOUND simulation
sim = generate(objects)
# integrate the simulation (Ndays, Noutputs) so dt = Ndays/Noutputs
sim_data = integrate(sim, objects, 1000 * 365, 1000 * 365 * 24)
# collect the analytics of interest from the simulation
ttv_data = analyze(sim_data)
# plot the results
report(ttv_data) #, savefile='report.png')
# TTV results:
# Mercury ~ 0-1 min
# Venus ~ 3-5 min
# Earth ~ 4-6 min
# Mars ~ 20-40 minutes
# Jupiter ~ 500-1000 minutes
# Saturn ~ 1000-1500 minutes