def test_isolated_gw_emission(e_iso_0, a1, mass1, mass2, t_end_myr,
peters_flag):
sl.octupole_flag = False
sl.backreaction_flag = False
sl.galactic_tide_flag = False
sl.quad_flag = False
sl.conservative_extra_forces_flag = True
sl.GW_flag = True
sl.single_averaging_flag = False
sl.diss_tides_flag = False
" initialize vectors with (e, inc, omega, Omega) - inc in RAD! "
bin_A_vec = sl.init_binary(e_iso_0, 1e-8 * np.pi / 180., 0 * np.pi / 180.,
0)
bin_B_vec = sl.init_binary(1e-8, 0 * np.pi / 180, 0, 0 * np.pi)
masses = [mass1 * sl.msun, mass2 * sl.msun, 1e-8 * sl.msun, 0 * sl.msun]
smas = [a1 * sl.au, 10 * sl.au, 1e10 * sl.au]
rs = [1e-4 * sl.rsun, 1e-4 * sl.rsun]
ks = [0.014, 2 * 0.25]
visc_ts = [2e4 / 365.25 * sl.sec_in_yr, 2e4 / 365.5 * sl.sec_in_yr]
sl.a_stop = 0
sol, t = sl.run_sim(t_end_myr, bin_A_vec, bin_B_vec, masses, smas, rs, ks,
visc_ts, 10000)
t_sim, eccA, incA, nodesA, omegaA, eccB, incB, nodesB, omegaB, incAB, smaA, smaB, pericenterA = sl.get_element_solution(
sol, t, smas)
#%%
## plotting ##
plt.rc('text', usetex=True)
plt.rc('font', family='serif')
plt.figure(figsize=(12, 6))
matplotlib.rcParams.update({'font.size': 24})
plt.subplots_adjust(left=0.10,
right=0.97,
top=0.93,
bottom=0.13,
hspace=0.22)
plt.subplot(121)
plt.plot([x / sl.sec_in_yr for x in t_sim], [x / sl.au for x in smaA],
'b',
label='$a$',
linewidth=2)
plt.plot([x / sl.sec_in_yr for x in t_sim],
[x / sl.au for x in pericenterA],
'g',
label='$a(1-e)$',
linewidth=2)
plt.xlabel(r'$t\ [\rm yr]}$', fontsize=24)
plt.ylabel(r'$a\ [\rm AU]$', fontsize=24)
plt.xscale('log')
plt.yscale('log')
plt.legend(loc='best')
plt.ylim([2e-4, 1.1])
plt.subplot(122)
plt.plot([x / sl.sec_in_yr for x in t_sim],
np.ones(len(eccA)) - eccA,
'b',
label='$1-e_A$',
linewidth=3)
plt.ylabel('$1-e$', fontsize=24)
plt.xscale('log')
plt.yscale('log')
plt.ylim([0.9997 - eccA[0], 1.02 - eccA[-1]])
plt.xlabel(r'$t\ [\rm yr]}$', fontsize=24)
if peters_flag:
c_0 = smas[0] * (1 - e_iso_0**2) / e_iso_0**0.631578947368421 / (
1 + 121 / 304. * e_iso_0**2)**0.3784254023488473
e_peters = np.logspace(-1, np.log10(e_iso_0), 5000)
a_peters = np.zeros(5000)
a_peters2 = np.zeros(5000)
for i in range(0, 5000):
a_peters[i] = c_0 * e_peters[i]**0.631578947368421 / (
1 - e_peters[i]**2) * (
1 + 121 / 304. * e_peters[i]**2)**0.3784254023488473
fig = plt.figure(2)
plt.plot(np.ones(10000) - eccA,
np.divide(smaA, sl.au),
'b',
label='sim',
linewidth=3)
plt.plot(np.ones(5000) - e_peters,
a_peters / sl.au,
'g--',
label='Peters',
linewidth=3)
plt.xlabel('1-ecc')
plt.ylabel('a [AU]')
plt.legend(loc=1)
plt.xscale('log')
plt.yscale('log')
plt.xlim([1 - e_peters[-1], 1 - e_peters[0]])
plt.subplots_adjust(left=0.2, right=0.94, top=0.93, bottom=0.13)
def test_circumbinary_planets(rebound_flag, t_end_myr, single_averaging_flag,
incs):
sl.octupole_flag = True
sl.backreaction_flag = True
sl.galactic_tide_flag = False
sl.quad_flag = False
sl.conservative_extra_forces_flag = False
sl.GW_flag = False
sl.diss_tides_flag = False
" initialize vectors with (e, inc, omega, Omega) - inc in RAD! "
bin_A_vec = sl.init_binary(0.8e-4, incs[0] * np.pi / 180.,
0 * np.pi / 180., 0)
bin_B_vec = sl.init_binary(0.8e-4, 0 * np.pi / 180, 0, 0 * np.pi)
masses = [1 * sl.msun, 0.5 * sl.msun, 0.05 * sl.msun, 1e-16 * sl.msun]
smas = [0.5 * sl.au, 5 * sl.au, 1e10 * sl.au]
rs = [1e-4 * sl.rsun, 1e-4 * sl.rsun]
ks = [0.1, 0.25]
visc_ts = [50 * sl.sec_in_yr, 50 * sl.sec_in_yr]
sol, t = sl.run_sim(t_end_myr, bin_A_vec, bin_B_vec, masses, smas, rs, ks,
visc_ts, 10000)
t_sim, eccA, incA, nodesA, omegaA, eccB, incB, nodesB, omegaB, incAB, smaA, smaB, pericenterA = sl.get_element_solution(
sol, t, smas)
bin_A_vec = sl.init_binary(0.8e-4, incs[1] * np.pi / 180.,
0 * np.pi / 180., 0)
sol2, t2 = sl.run_sim(t_end_myr, bin_A_vec, bin_B_vec, masses, smas, rs,
ks, visc_ts, 10000)
t_sim2, eccA2, incA2, nodesA2, omegaA2, eccB2, incB2, nodesB2, omegaB2, incAB2, smaA2, smaB2, pericenterA2 = sl.get_element_solution(
sol2, t2, smas)
bin_A_vec = sl.init_binary(0.8e-4, incs[2] * np.pi / 180.,
0 * np.pi / 180., 0)
sol3, t3 = sl.run_sim(t_end_myr, bin_A_vec, bin_B_vec, masses, smas, rs,
ks, visc_ts, 10000)
t_sim3, eccA3, incA3, nodesA3, omegaA3, eccB3, incB3, nodesB3, omegaB3, incAB3, smaA3, smaB3, pericenterA3 = sl.get_element_solution(
sol3, t3, smas)
#compare to N-body
if rebound_flag:
sim = rebound.Simulation()
sim.add(m=1.)
sim.add(m=0.5, a=0.5, inc=incs[0]**np.pi / 180.)
sim.add(m=0.05, a=5)
sim.integrator = "ias15"
sim.move_to_com() ##accounts for barycenter drift
sim2 = rebound.Simulation()
sim2.add(m=1.)
sim2.add(m=0.5, a=0.5, inc=incs[1]**np.pi / 180)
sim2.add(m=0.05, a=5)
sim2.integrator = "ias15"
sim2.move_to_com() ##accounts for barycenter drift
sim3 = rebound.Simulation()
sim3.add(m=1.)
sim3.add(m=0.5, a=0.5, inc=incs[2] * np.pi / 180.)
sim3.add(m=0.05, a=5)
sim3.integrator = "ias15"
sim3.move_to_com() ##accounts for barycenter drift
Noutputs = 10000
times = np.linspace(0, t_end_myr * 2 * np.pi * 1e6, Noutputs)
inc1 = np.zeros(Noutputs)
inc1tpq = np.zeros(Noutputs)
inc1_3 = np.zeros(Noutputs)
inc2 = np.zeros(Noutputs)
inc2tpq = np.zeros(Noutputs)
inc2_3 = np.zeros(Noutputs)
inctot = np.zeros(Noutputs)
inctottpq = np.zeros(Noutputs)
inctot3 = np.zeros(Noutputs)
omega1 = np.zeros(Noutputs)
omega1tpq = np.zeros(Noutputs)
omega3 = np.zeros(Noutputs)
e1 = np.zeros(Noutputs)
e1tpq = np.zeros(Noutputs)
e1_3 = np.zeros(Noutputs)
e2 = np.zeros(Noutputs)
e2tpq = np.zeros(Noutputs)
e2_3 = np.zeros(Noutputs)
for i, timesim in enumerate(times):
sim.integrate(timesim, exact_finish_time=0)
inc1[i] = sim.particles[1].inc
inc2[i] = sim.particles[2].inc
e1[i] = sim.particles[1].e
e2[i] = sim.particles[2].e
omega1[i] = sim.particles[1].omega
inctot[i] = np.arccos(
np.cos(inc1[i]) * np.cos(inc2[i]) +
np.sin(inc1[i]) * np.sin(inc2[i]) *
np.cos(sim.particles[1].Omega - sim.particles[2].Omega))
sim2.integrate(timesim, exact_finish_time=0)
inc1tpq[i] = sim2.particles[1].inc
inc2tpq[i] = sim2.particles[2].inc
e1tpq[i] = sim2.particles[1].e
e2tpq[i] = sim2.particles[2].e
omega1tpq[i] = sim2.particles[1].omega
inctottpq[i] = np.arccos(
np.cos(inc1tpq[i]) * np.cos(inc2tpq[i]) +
np.sin(inc1tpq[i]) * np.sin(inc2tpq[i]) *
np.cos(sim2.particles[1].Omega - sim2.particles[2].Omega))
sim3.integrate(timesim, exact_finish_time=0)
inc1_3[i] = sim3.particles[1].inc
inc2_3[i] = sim3.particles[2].inc
e1_3[i] = sim3.particles[1].e
e2_3[i] = sim3.particles[2].e
omega3[i] = sim3.particles[1].omega
inctot3[i] = np.arccos(
np.cos(inc1_3[i]) * np.cos(inc2_3[i]) +
np.sin(inc1_3[i]) * np.sin(inc2_3[i]) *
np.cos(sim3.particles[1].Omega - sim3.particles[2].Omega))
#%%
## plotting ##
plt.rc('text', usetex=True)
plt.rc('font', family='serif')
plt.figure(figsize=(14, 10))
matplotlib.rcParams.update({'font.size': 24})
plt.subplots_adjust(left=0.10,
right=0.96,
top=0.93,
bottom=0.1,
hspace=0.15)
plt.subplot(221)
plt.suptitle('$a_1 =$' + str(smas[0] / sl.au) + '$\ a_2 = $' +
str(smas[1] / sl.au),
fontsize=32)
plt.ticklabel_format(style='sci', axis='x', scilimits=(0, 0))
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim],
eccA,
'r',
alpha=0.9,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim2],
eccA2,
'b',
alpha=0.9,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim3],
eccA3,
'g',
alpha=0.8,
linewidth=2)
if rebound_flag:
plt.plot(times / 1e6 / 2. / np.pi, e1, 'r--', alpha=0.4, linewidth=3)
plt.plot(times / 1e6 / 2. / np.pi,
e1tpq,
'b--',
alpha=0.4,
linewidth=3)
plt.plot(times / 1e6 / 2. / np.pi, e1_3, 'g--', alpha=0.4, linewidth=3)
plt.ylabel('$e_1$', fontsize=32)
plt.subplot(222)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim],
np.degrees(incAB),
'r',
alpha=0.9,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim2],
np.degrees(incAB2),
'b',
alpha=0.9,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim3],
np.degrees(incAB3),
'g',
alpha=0.8,
linewidth=2)
if rebound_flag:
plt.plot(times / 1e6 / 2. / np.pi,
np.degrees(inctot),
'r--',
alpha=0.4,
linewidth=3)
plt.plot(times / 1e6 / 2. / np.pi,
np.degrees(inctottpq),
'b--',
alpha=0.4,
linewidth=3)
plt.plot(times / 1e6 / 2. / np.pi,
np.degrees(inctot3),
'g--',
alpha=0.4,
linewidth=3)
plt.xlabel(r'$t\ [\rm Myr]}$', fontsize=32)
plt.ylabel('$i$ ' '[deg]', fontsize=32)
ax = plt.subplot(223)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim],
eccB,
'r',
label=r'$ \Delta I = $' + str(incs[0]) + ' [deg]',
alpha=0.9,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim2],
eccB2,
'b',
label=r'$ \Delta I = $' + str(incs[1]) + ' [deg]',
alpha=0.9,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim3],
eccB3,
'g',
label=r'$ \Delta I = $' + str(incs[2]) + ' [deg]',
alpha=0.8,
linewidth=2)
if rebound_flag:
plt.plot(times / 1e6 / 2. / np.pi,
e2,
'r--',
label='rebound',
alpha=0.4,
linewidth=3)
plt.plot(times / 1e6 / 2. / np.pi,
e2tpq,
'b--',
alpha=0.4,
linewidth=3)
plt.plot(times / 1e6 / 2. / np.pi, e2_3, 'g--', alpha=0.4, linewidth=3)
ax.legend(fontsize=26, bbox_to_anchor=(2.0, 0.9))
plt.xlabel(r'$t\ [\rm Myr]}$', fontsize=32)
plt.ylabel(r'$e_2', fontsize=32)
def test_single_averaging(rebound_flag, t_end_myr):
sl.octupole_flag = True
sl.backreaction_flag = True
sl.galactic_tide_flag = False
sl.quad_flag = False
sl.conservative_extra_forces_flag = False
sl.GW_flag = False
sl.single_averaging_flag = False
sl.diss_tides_flag = False
" initialize vectors with (e, inc, omega, Omega) - inc in RAD! "
bin_A_vec = sl.init_binary(0.2, 110 * np.pi / 180., 0 * np.pi / 180., 0)
bin_B_vec = sl.init_binary(0.2, 0 * np.pi / 180, 0, 1 * np.pi)
masses = [1 * sl.msun, 0.0001 * sl.msun, 1 * sl.msun, 1e-16 * sl.msun]
smas = [5 * sl.au, 50 * sl.au, 1e10 * sl.au]
rs = [1.0 * sl.rsun, sl.rsun]
ks = [0.1, 0.25]
visc_ts = [1 * sl.sec_in_yr, 1 * sl.sec_in_yr]
sol, t = sl.run_sim(t_end_myr, bin_A_vec, bin_B_vec, masses, smas, rs, ks,
visc_ts, 10000)
t_sim, eccA, incA, nodesA, omegaA, eccB, incB, nodesB, omegaB, incAB, smaA, smaB, pericenterA = sl.get_element_solution(
sol, t, smas)
sl.single_averaging_flag = True
sol2, t2 = sl.run_sim(t_end_myr, bin_A_vec, bin_B_vec, masses, smas, rs,
ks, visc_ts, 10000)
t_sim2, eccA2, incA2, nodesA2, omegaA2, eccB2, incB2, nodesB2, omegaB2, incAB2, smaA2, smaB2, pericenterA2 = sl.get_element_solution(
sol2, t2, smas)
#compare to N-body
if rebound_flag:
sim = rebound.Simulation()
sim.add(m=1.)
sim.add(m=0.0001,
a=5.,
e=0.2,
inc=110 * np.pi / 180.,
omega=0 * np.pi / 180.,
Omega=0 * np.pi / 4.,
f=np.pi / 4.)
sim.add(m=1,
a=50,
e=0.2,
inc=0 * np.pi / 180.0,
omega=0,
Omega=1 * np.pi,
f=0 * np.pi / 4.)
sim.integrator = "ias15"
sim.move_to_com() ##accounts for barycenter drift
Noutputs = 2000
times = np.linspace(0, t_end_myr * 2 * np.pi * 1e6, Noutputs)
inc1 = np.zeros(Noutputs)
inc2 = np.zeros(Noutputs)
inctot = np.zeros(Noutputs)
omega1 = np.zeros(Noutputs)
e1 = np.zeros(Noutputs)
for i, timesim in enumerate(times):
sim.integrate(timesim, exact_finish_time=0)
inc1[i] = sim.particles[1].inc
inc2[i] = sim.particles[2].inc
e1[i] = sim.particles[1].e
omega1[i] = sim.particles[1].omega
inctot[i] = np.arccos(
np.cos(inc1[i]) * np.cos(inc2[i]) +
np.sin(inc1[i]) * np.sin(inc2[i]) *
np.cos(sim.particles[1].Omega - sim.particles[2].Omega))
## plotting ##
plt.rc('text', usetex=True)
plt.rc('font', family='serif')
plt.figure(figsize=(15, 10))
matplotlib.rcParams.update({'font.size': 24})
plt.subplots_adjust(left=0.08,
right=0.96,
top=0.93,
bottom=0.1,
hspace=0.15)
plt.subplot(311)
plt.suptitle('$a_1 =$' + str(smas[0] / sl.au) + '$\ a_2 = $' +
str(smas[1] / sl.au),
fontsize=32)
plt.ticklabel_format(style='sci', axis='x', scilimits=(0, 0))
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim],
np.ones(len(eccA)) - eccA,
'r',
label='DA only',
alpha=0.5,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim2],
np.ones(len(eccB)) - eccA2,
'b',
alpha=0.5,
label='SA corrections',
linewidth=2)
if rebound_flag:
plt.plot(times / 1e6 / 2. / np.pi,
np.ones(len(e1)) - e1,
'g',
label='REBOUND',
alpha=0.5,
linewidth=2)
plt.ylabel('$1-e$', fontsize=32)
plt.yscale('log')
plt.legend(fontsize=20, loc='best')
plt.subplot(312)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim],
np.degrees(incAB),
'r',
alpha=0.5,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim2],
np.degrees(incAB2),
'b',
alpha=0.5,
linewidth=2)
if rebound_flag:
plt.plot(times / 1e6 / 2. / np.pi,
np.degrees(inctot),
'g',
alpha=0.5,
linewidth=2)
plt.xlabel(r'$t\ [\rm Myr]}$', fontsize=32)
plt.ylabel('$i$ ' '[deg]', fontsize=32)
plt.subplot(313)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim],
omegaA,
'r',
alpha=0.5,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim2],
omegaA2,
'b',
alpha=0.5,
linewidth=2)
if rebound_flag:
plt.plot(times / 1e6 / 2. / np.pi, omega1, 'g', alpha=0.5, linewidth=2)
plt.ylim([-3.2, 3.2])
plt.xlabel(r'$t\ [\rm Myr]}$', fontsize=32)
plt.ylabel(r'$\omega$ [rad]', fontsize=32)
def test_quadupole_tpq(rebound_flag, t_end_myr):
sl.octupole_flag = True
sl.backreaction_flag = True
sl.galactic_tide_flag = False
sl.quad_flag = False
sl.conservative_extra_forces_flag = False
sl.GW_flag = False
sl.single_averaging_flag = False
sl.diss_tides_flag = False
sl.stopping_user_defined_flag = False
" initialize vectors with (e, inc, omega, Omega) - inc in RAD! "
bin_A_vec = sl.init_binary(0.5, 70 * np.pi / 180., 120 * np.pi / 180., 0)
bin_B_vec = sl.init_binary(0.00001, 0 * np.pi / 180, 0, 1 * np.pi)
masses = [1.4 * sl.msun, 0.3 * sl.msun, 0.01 * sl.msun, 1e-16 * sl.msun]
smas = [5 * sl.au, 50 * sl.au, 1e10 * sl.au]
rs = [1.0 * sl.rsun, sl.rsun]
ks = [0.1, 0.25]
visc_ts = [1 * sl.sec_in_yr, 1 * sl.sec_in_yr]
sol, t = sl.run_sim(t_end_myr, bin_A_vec, bin_B_vec, masses, smas, rs, ks,
visc_ts, 10000)
t_sim, eccA, incA, nodesA, omegaA, eccB, incB, nodesB, omegaB, incAB, smaA, smaB, pericenterA = sl.get_element_solution(
sol, t, smas, masses)
sl.backreaction_flag = False
sol2, t2 = sl.run_sim(t_end_myr, bin_A_vec, bin_B_vec, masses, smas, rs,
ks, visc_ts, 10000)
t_sim2, eccA2, incA2, nodesA2, omegaA2, eccB2, incB2, nodesB2, omegaB2, incAB2, smaA2, smaB2, pericenterA2 = sl.get_element_solution(
sol2, t2, smas, masses)
sl.backreaction_flag = True
masses3 = [
1.4 * sl.msun, 1e-4 * 0.3 * sl.msun, 0.01 * sl.msun, 1e-16 * sl.msun
]
sol3, t3 = sl.run_sim(t_end_myr, bin_A_vec, bin_B_vec, masses3, smas, rs,
ks, visc_ts, 10000)
t_sim3, eccA3, incA3, nodesA3, omegaA3, eccB3, incB3, nodesB3, omegaB3, incAB3, smaA3, smaB3, pericenterA3 = sl.get_element_solution(
sol3, t3, smas, masses)
#compare to N-body
if rebound_flag:
sim = rebound.Simulation()
sim.add(m=1.4)
sim.add(m=0.3,
a=5.,
e=0.5,
inc=70 * np.pi / 180.,
omega=120 * np.pi / 180.,
Omega=0 * np.pi / 4.,
f=np.pi / 4.)
sim.add(m=0.01,
a=50,
e=0.00001,
inc=0 * np.pi / 180.0,
omega=0,
Omega=1 * np.pi,
f=0 * np.pi / 4.)
sim.integrator = "ias15"
sim.move_to_com() ##accounts for barycenter drift
sim2 = rebound.Simulation()
sim2.add(m=1.4)
sim2.add(m=1e-4 * 0.3,
a=5.,
e=0.5,
inc=70 * np.pi / 180.,
omega=120 * np.pi / 180.,
Omega=0 * np.pi / 4.,
f=np.pi / 4.)
sim2.add(m=0.01,
a=50,
e=0.00001,
inc=0 * np.pi / 180.0,
omega=0,
Omega=1 * np.pi,
f=0 * np.pi / 4.)
sim2.integrator = "ias15"
sim2.move_to_com() ##accounts for barycenter drift
Noutputs = 2000
times = np.linspace(0, t_end_myr * 2 * np.pi * 1e6, Noutputs)
inc1 = np.zeros(Noutputs)
inc1tpq = np.zeros(Noutputs)
inc2 = np.zeros(Noutputs)
inc2tpq = np.zeros(Noutputs)
inctot = np.zeros(Noutputs)
inctottpq = np.zeros(Noutputs)
omega1 = np.zeros(Noutputs)
omega1tpq = np.zeros(Noutputs)
e1 = np.zeros(Noutputs)
e1tpq = np.zeros(Noutputs)
for i, timesim in enumerate(times):
sim.integrate(timesim, exact_finish_time=0)
inc1[i] = sim.particles[1].inc
inc2[i] = sim.particles[2].inc
e1[i] = sim.particles[1].e
omega1[i] = sim.particles[1].omega
inctot[i] = np.arccos(
np.cos(inc1[i]) * np.cos(inc2[i]) +
np.sin(inc1[i]) * np.sin(inc2[i]) *
np.cos(sim.particles[1].Omega - sim.particles[2].Omega))
sim2.integrate(timesim, exact_finish_time=0)
inc1tpq[i] = sim2.particles[1].inc
inc2tpq[i] = sim2.particles[2].inc
e1tpq[i] = sim2.particles[1].e
omega1tpq[i] = sim2.particles[1].omega
inctottpq[i] = np.arccos(
np.cos(inc1tpq[i]) * np.cos(inc2tpq[i]) +
np.sin(inc1tpq[i]) * np.sin(inc2tpq[i]) *
np.cos(sim2.particles[1].Omega - sim2.particles[2].Omega))
#%%
## plotting ##
plt.rc('text', usetex=False)
plt.rc('font', family='serif')
plt.figure(figsize=(14, 10))
matplotlib.rcParams.update({'font.size': 24})
plt.subplots_adjust(left=0.16, right=0.96, top=0.93, bottom=0.1)
plt.subplot(221)
plt.suptitle('$a_1 =$' + str(smas[0] / sl.au) + '$\ a_2 = $' +
str(smas[1] / sl.au),
fontsize=32)
plt.ticklabel_format(style='sci', axis='x', scilimits=(0, 0))
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim],
eccA,
'r',
alpha=0.5,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim2],
eccA2,
'b',
alpha=0.5,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim3],
eccA3,
'g',
alpha=0.8,
linewidth=2)
if rebound_flag:
plt.plot(times / 1e6 / 2. / np.pi, e1, 'r--', linewidth=3)
plt.plot(times / 1e6 / 2. / np.pi, e1tpq, 'b--', linewidth=3)
plt.ylabel('$e$', fontsize=32)
plt.subplot(222)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim],
np.degrees(incAB),
'r',
alpha=0.5,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim2],
np.degrees(incAB2),
'b',
alpha=0.5,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim3],
np.degrees(incAB3),
'g',
alpha=0.8,
linewidth=2)
if rebound_flag:
plt.plot(times / 1e6 / 2. / np.pi,
np.degrees(inctot),
'r--',
linewidth=3)
plt.plot(times / 1e6 / 2. / np.pi,
np.degrees(inctottpq),
'b--',
linewidth=3)
plt.xlabel(r'$t\ [\rm Myr]}$', fontsize=32)
plt.ylabel('$i$ ' '[deg]', fontsize=32)
ax = plt.subplot(223)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim],
omegaA,
'r',
label='seculab full, $m_1=0.3 M_{\odot}$',
alpha=0.5,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim2],
omegaA2,
'b',
label='seculab TPQ, $m_1=0.3 M_{\odot}$',
alpha=0.5,
linewidth=2)
plt.plot([x / sl.sec_in_yr / 1e6 for x in t_sim3],
omegaA3,
'g',
label='sebulab full, $m_1=3\cdot 10^{-5} M_{\odot}$',
alpha=0.8,
linewidth=2)
if rebound_flag:
plt.plot(times / 1e6 / 2. / np.pi,
omega1,
'r--',
label='rebound, $m_1=0.3 M_{\odot}$',
linewidth=3)
plt.plot(times / 1e6 / 2. / np.pi,
omega1tpq,
'b--',
label='rebound, $m_1=3\cdot 10^{-5} M_{\odot}$',
linewidth=3)
ax.legend(fontsize=26, bbox_to_anchor=(2.25, 0.9))
plt.xlabel(r'$t\ [\rm Myr]}$', fontsize=32)
plt.ylabel(r'$\omega$ [rad]', fontsize=32)