def make_planets(central_particle,
masses,
radii,
density=3 | units.g / units.cm**3,
phi=None,
theta=None,
eccentricity=0.0,
kepler=None,
rng=None):
volumes = masses / density
planet_radii = (3.0 * volumes / (4.0 * numpy.pi))**(1.0 / 3.0)
n = len(masses)
planet_particles = Particles(n)
planet_particles.semimajor_axis = radii
if eccentricity is None:
eccentricity = numpy.abs(rng.normal(-0.00001, 0.00001, n))
planet_particles.eccentricity = eccentricity
planet_particles.mass = masses
planet_particles.radius = planet_radii
if phi is None:
phi = numpy.radians(rng.uniform(0.0, 90.0, 1)[0]) #rotate under x
if theta is None:
theta0 = numpy.radians((rng.normal(-90.0, 90.0,
1)[0])) #rotate under y
theta0 = 0
theta_inclination = numpy.radians(rng.normal(0, 1.0, n))
theta_inclination[0] = 0
theta = theta0 + theta_inclination
#psi = numpy.radians(rng.uniform(0, 180, 1))[0] #0 # numpy.radians(90) # numpy.radians(rng.uniform(0, 180, 1))[0]
psi = numpy.radians(rng.uniform(0.0, 180.0, 1))[
0] #0 # numpy.radians(90) # numpy.radians(rng.uniform(0, 180, 1))[0]
com_particle = central_particle.copy()
for x, t in zip(iter(planet_particles), theta):
pos, vel = posvel_from_orbital_elements(com_particle.mass + x.mass,
x.semimajor_axis,
x.eccentricity, kepler, rng)
pos, vel = rotate(pos, vel, 0, 0, psi) # theta and phi in radians
pos, vel = rotate(pos, vel, 0, t, 0) # theta and phi in radians
pos, vel = rotate(pos, vel, phi, 0, 0) # theta and phi in radians
x.position = pos + com_particle.position
x.velocity = vel + com_particle.velocity
if False:
two_body = Particles(particles=[com_particle, x])
print "dp:", (com_particle.position -
two_body.center_of_mass()).as_quantity_in(units.AU)
com_particle.mass = two_body.mass.sum()
com_particle.position = two_body.center_of_mass()
com_particle.velocity = two_body.center_of_mass_velocity()
#planet_particles.position += central_particle.position
#planet_particles.velocity += central_particle.velocity
return planet_particles
def test8(self):
print(
"Testing adding and removing particles from stellar evolution code..."
)
instance = BSE()
instance.initialize_code()
stars = Particles(6)
stars.mass = [1.0, 1.0, 1.0, 0.2, 0.2, 0.2] | units.MSun
binaries = Particles(3)
binaries.eccentricity = 0.0
for i in range(3):
binaries[i].child1 = stars[i]
binaries[i].child2 = stars[i + 3]
orbital_period = 200.0 | units.day
semi_major_axis = instance.orbital_period_to_semi_major_axis(
orbital_period,
binaries.child1.as_set().mass,
binaries.child2.as_set().mass)
binaries.semi_major_axis = semi_major_axis
instance.commit_parameters()
self.assertEqual(len(instance.particles), 0)
self.assertEqual(len(instance.binaries), 0) # before creation
instance.particles.add_particles(stars)
instance.binaries.add_particles(binaries[:-1])
instance.commit_particles()
instance.evolve_model(1.0 | units.Myr)
self.assertEqual(len(instance.binaries), 2) # before remove
self.assertAlmostEqual(instance.binaries.age, 1.0 | units.Myr)
instance.binaries.remove_particle(binaries[0])
self.assertEqual(len(instance.binaries), 1)
instance.evolve_model(2.0 | units.Myr)
self.assertAlmostEqual(instance.binaries[0].age, 2.0 | units.Myr)
instance.binaries.add_particles(binaries[::2])
self.assertEqual(len(instance.binaries), 3) # it's back...
self.assertAlmostEqual(instance.binaries[0].age, 2.0 | units.Myr)
self.assertAlmostEqual(instance.binaries[1].age, 0.0 | units.Myr)
self.assertAlmostEqual(instance.binaries[2].age,
0.0 | units.Myr) # ... and rejuvenated.
instance.evolve_model(
3.0 | units.Myr
) # The young stars keep their age offset from the old star
self.assertAlmostEqual(instance.binaries.age,
[3.0, 1.0, 1.0] | units.Myr)
instance.evolve_model(4.0 | units.Myr)
self.assertAlmostEqual(instance.binaries.age,
[4.0, 2.0, 2.0] | units.Myr)
instance.stop()
def test7(self):
print "Test evolve_model optional arguments: end_time and keep_synchronous"
instance = BSE()
instance.commit_parameters()
stars = Particles(6)
stars.mass = [1.0, 2.0, 3.0, 0.1, 0.2, 0.3] | units.MSun
binaries = Particles(3)
binaries.eccentricity = 0.0
for i in range(3):
binaries[i].child1 = stars[i]
binaries[i].child2 = stars[i + 3]
orbital_period = 200.0 | units.day
semi_major_axis = instance.orbital_period_to_semi_major_axis(
orbital_period,
binaries.child1.as_set().mass,
binaries.child2.as_set().mass)
binaries.semi_major_axis = semi_major_axis
instance.particles.add_particles(stars)
instance.binaries.add_particles(binaries)
self.assertAlmostEqual(instance.binaries.age,
[0.0, 0.0, 0.0] | units.yr)
self.assertAlmostEqual(instance.binaries.time_step,
[550.1565, 58.2081, 18.8768] | units.Myr, 3)
print "evolve_model without arguments: use shared timestep = min(particles.time_step)"
instance.evolve_model()
self.assertAlmostEqual(instance.binaries.age,
[18.8768, 18.8768, 18.8768] | units.Myr, 3)
self.assertAlmostEqual(instance.binaries.time_step,
[550.1565, 58.2081, 18.8768] | units.Myr, 3)
self.assertAlmostEqual(instance.model_time, 18.8768 | units.Myr, 3)
print "evolve_model with end_time: take timesteps, until end_time is reached exactly"
instance.evolve_model(100 | units.Myr)
self.assertAlmostEqual(instance.binaries.age,
[100.0, 100.0, 100.0] | units.Myr, 3)
self.assertAlmostEqual(instance.binaries.time_step,
[550.1565, 58.2081, 18.8768] | units.Myr, 3)
self.assertAlmostEqual(instance.model_time, 100.0 | units.Myr, 3)
print "evolve_model with keep_synchronous: use non-shared timestep, particle ages will typically diverge"
instance.evolve_model(keep_synchronous=False)
self.assertAlmostEqual(instance.binaries.age, (100 | units.Myr) +
([550.1565, 58.2081, 18.8768] | units.Myr), 3)
self.assertAlmostEqual(instance.binaries.time_step,
[550.1565, 58.2081, 18.8768] | units.Myr, 3)
self.assertAlmostEqual(instance.model_time, 100.0 | units.Myr,
3) # Unchanged!
instance.stop()
def get_bodies_in_orbit(m0, m_ffp, m_bp, a_bp, e_bp, phi_bp, lan_bp, b_ffp, r_inf):
#Bodies
bodies = Particles()
##Get BP in orbit
#Binary
star_planet = new_binary_from_orbital_elements(m0, m_bp, a_bp, e_bp, true_anomaly=phi_bp, inclination = 28, longitude_of_the_ascending_node = lan_bp)
#Planet attributes
star_planet.eccentricity = e_bp
star_planet.semimajoraxis = a_bp
#Center on the star
star_planet.position -= star_planet[0].position
star_planet.velocity -= star_planet[0].velocity
cm_p = star_planet.center_of_mass()
cm_v = star_planet.center_of_mass_velocity()
##Get FFP in orbit
#Particle set
m0_ffp = Particles(2)
#Zeros and parabolic velocity
zero_p = 0.0 | nbody_system.length
zero_v = 0.0 | nbody_system.speed
parabolic_velocity = get_parabolic_velocity(m0, m_ffp, b_ffp, r_inf, m_bp, a_bp, phi_bp)
#Central star
m0_ffp[0].mass = m0
m0_ffp[0].position = (zero_p,zero_p,zero_p)
m0_ffp[0].velocity = (zero_v,zero_v,zero_v)
#Free-floating planet
m0_ffp[1].mass = m_ffp
m0_ffp[1].position = (-r_inf-cm_p[0],-b_ffp-cm_p[1],zero_p)
m0_ffp[1].velocity = (parabolic_velocity,zero_v,zero_v)
#Orbital Elements
star_planet_as_one = Particles(1)
star_planet_as_one.mass = m0 + m_bp
star_planet_as_one.position = cm_p
star_planet_as_one.velocity = cm_v
binary = [star_planet_as_one[0], m0_ffp[1]]
m1, m2, sma, e = my_orbital_elements_from_binary(binary)
#For the star it sets the initial values of semimajoraxis and eccentricity of the ffp around star+bp
m0_ffp.eccentricity = e
m0_ffp.semimajoraxis = sma
#Order: star, ffp, bp
bodies.add_particle(m0_ffp[0])
bodies.add_particle(m0_ffp[1])
bodies.add_particle(star_planet[1])
return bodies
def test8(self):
print "Testing adding and removing particles from stellar evolution code..."
instance = MOBSE()
instance.initialize_code()
stars = Particles(6)
stars.mass = [1.0,1.0, 1.0, 0.2, 0.2, 0.2] | units.MSun
binaries = Particles(3)
binaries.eccentricity = 0.0
for i in range(3):
binaries[i].child1 = stars[i]
binaries[i].child2 = stars[i+3]
orbital_period = 200.0 | units.day
semi_major_axis = instance.orbital_period_to_semi_major_axis(
orbital_period,
binaries.child1.as_set().mass ,
binaries.child2.as_set().mass
)
binaries.semi_major_axis = semi_major_axis
instance.commit_parameters()
self.assertEquals(len(instance.particles), 0)
self.assertEquals(len(instance.binaries), 0) # before creation
instance.particles.add_particles(stars)
instance.binaries.add_particles(binaries[:-1])
instance.commit_particles()
instance.evolve_model(1.0 | units.Myr)
self.assertEquals(len(instance.binaries), 2) # before remove
self.assertAlmostEqual(instance.binaries.age, 1.0 | units.Myr)
instance.binaries.remove_particle(binaries[0])
self.assertEquals(len(instance.binaries), 1)
instance.evolve_model(2.0 | units.Myr)
self.assertAlmostEqual(instance.binaries[0].age, 2.0 | units.Myr)
instance.binaries.add_particles(binaries[::2])
self.assertEquals(len(instance.binaries), 3) # it's back...
self.assertAlmostEqual(instance.binaries[0].age, 2.0 | units.Myr)
self.assertAlmostEqual(instance.binaries[1].age, 0.0 | units.Myr)
self.assertAlmostEqual(instance.binaries[2].age, 0.0 | units.Myr) # ... and rejuvenated.
instance.evolve_model(3.0 | units.Myr) # The young stars keep their age offset from the old star
self.assertAlmostEqual(instance.binaries.age, [3.0, 1.0, 1.0] | units.Myr)
instance.evolve_model(4.0 | units.Myr)
self.assertAlmostEqual(instance.binaries.age, [4.0, 2.0, 2.0] | units.Myr)
instance.stop()
def test7(self):
print "Test evolve_model optional arguments: end_time and keep_synchronous"
instance = MOBSE()
instance.commit_parameters()
stars = Particles(6)
stars.mass = [1.0,2.0,3.0, 0.1, 0.2, 0.3] | units.MSun
binaries = Particles(3)
binaries.eccentricity = 0.0
for i in range(3):
binaries[i].child1 = stars[i]
binaries[i].child2 = stars[i+3]
orbital_period = 200.0 | units.day
semi_major_axis = instance.orbital_period_to_semi_major_axis(
orbital_period,
binaries.child1.as_set().mass ,
binaries.child2.as_set().mass
)
binaries.semi_major_axis = semi_major_axis
instance.particles.add_particles(stars)
instance.binaries.add_particles(binaries)
self.assertAlmostEqual(instance.binaries.age, [0.0, 0.0, 0.0] | units.yr)
self.assertAlmostEqual(instance.binaries.time_step, [550.1565, 58.2081, 18.8768] | units.Myr, 3)
print "evolve_model without arguments: use shared timestep = min(particles.time_step)"
instance.evolve_model()
self.assertAlmostEqual(instance.binaries.age, [18.8768, 18.8768, 18.8768] | units.Myr, 3)
self.assertAlmostEqual(instance.binaries.time_step, [550.1565, 58.2081, 18.8768] | units.Myr, 3)
self.assertAlmostEqual(instance.model_time, 18.8768 | units.Myr, 3)
print "evolve_model with end_time: take timesteps, until end_time is reached exactly"
instance.evolve_model(100 | units.Myr)
self.assertAlmostEqual(instance.binaries.age, [100.0, 100.0, 100.0] | units.Myr, 3)
self.assertAlmostEqual(instance.binaries.time_step, [550.1565, 58.2081, 18.8785] | units.Myr, 3)
self.assertAlmostEqual(instance.model_time, 100.0 | units.Myr, 3)
print "evolve_model with keep_synchronous: use non-shared timestep, particle ages will typically diverge"
instance.evolve_model(keep_synchronous = False)
self.assertAlmostEqual(instance.binaries.age, (100 | units.Myr) + ([550.1565, 58.2081, 18.8785] | units.Myr), 3)
self.assertAlmostEqual(instance.binaries.time_step, [550.1565, 58.2081, 18.8785] | units.Myr, 3)
self.assertAlmostEqual(instance.model_time, 100.0 | units.Myr, 3) # Unchanged!
instance.stop()
def make_planets(central_particle, masses, radii, density = 3 | units.g/units.cm**3, phi=None, theta=None, eccentricity = 0.0, kepler = None, rng = None):
volumes = masses / density
planet_radii = (3.0 * volumes / (4.0 * numpy.pi))**(1.0/3.0)
n = len(masses)
planet_particles = Particles(n)
planet_particles.semimajor_axis = radii
if eccentricity is None:
eccentricity = numpy.abs(rng.normal(-0.00001,0.00001,n))
planet_particles.eccentricity = eccentricity
planet_particles.mass = masses
planet_particles.radius = planet_radii
if phi is None:
phi = numpy.radians(rng.uniform(0.0, 90.0, 1)[0])#rotate under x
if theta is None:
theta0 = numpy.radians((rng.normal(-90.0,90.0,1)[0]))#rotate under y
theta0 = 0
theta_inclination = numpy.radians(rng.normal(0, 1.0, n ))
theta_inclination[0] = 0
theta = theta0 + theta_inclination
#psi = numpy.radians(rng.uniform(0, 180, 1))[0] #0 # numpy.radians(90) # numpy.radians(rng.uniform(0, 180, 1))[0]
psi = numpy.radians(rng.uniform(0.0, 180.0, 1))[0] #0 # numpy.radians(90) # numpy.radians(rng.uniform(0, 180, 1))[0]
com_particle = central_particle.copy()
for x, t in zip(iter(planet_particles), theta):
pos,vel = posvel_from_orbital_elements(com_particle.mass + x.mass, x.semimajor_axis, x.eccentricity, kepler, rng)
pos,vel = rotate(pos, vel, 0, 0, psi) # theta and phi in radians
pos,vel = rotate(pos, vel, 0, t, 0) # theta and phi in radians
pos,vel = rotate(pos, vel, phi, 0, 0) # theta and phi in radians
x.position = pos + com_particle.position
x.velocity = vel + com_particle.velocity
if False:
two_body = Particles(particles=[com_particle, x])
print "dp:", (com_particle.position - two_body.center_of_mass()).as_quantity_in(units.AU)
com_particle.mass = two_body.mass.sum()
com_particle.position = two_body.center_of_mass()
com_particle.velocity = two_body.center_of_mass_velocity()
#planet_particles.position += central_particle.position
#planet_particles.velocity += central_particle.velocity
return planet_particles
def test9(self):
print "Testing BSE states"
instance = BSE()
stars = Particles(2)
stars.mass = [1.0, 0.2] | units.MSun
binaries = Particles(1)
orbital_period = 200.0 | units.day
semi_major_axis = instance.orbital_period_to_semi_major_axis(
orbital_period, stars[0].mass, stars[1].mass)
binaries.semi_major_axis = semi_major_axis
binaries.eccentricity = 0.0
binaries[0].child1 = stars[0]
binaries[0].child2 = stars[1]
print "First do everything manually:",
self.assertEquals(instance.get_name_of_current_state(),
'UNINITIALIZED')
instance.initialize_code()
self.assertEquals(instance.get_name_of_current_state(), 'INITIALIZED')
instance.commit_parameters()
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.cleanup_code()
self.assertEquals(instance.get_name_of_current_state(), 'END')
instance.stop()
print "ok"
print "initialize_code(), commit_parameters(), " \
"and cleanup_code() should be called automatically:",
instance = BSE()
self.assertEquals(instance.get_name_of_current_state(),
'UNINITIALIZED')
instance.parameters.reimers_mass_loss_coefficient = 0.5
self.assertEquals(instance.get_name_of_current_state(), 'INITIALIZED')
instance.particles.add_particles(stars)
instance.binaries.add_particles(binaries)
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.stop()
self.assertEquals(instance.get_name_of_current_state(), 'STOPPED')
print "ok"
def test9(self):
print "Testing MOBSE states"
instance = MOBSE()
stars = Particles(2)
stars.mass = [1.0, 0.2] | units.MSun
binaries = Particles(1)
orbital_period = 200.0 | units.day
semi_major_axis = instance.orbital_period_to_semi_major_axis(orbital_period, stars[0].mass , stars[1].mass)
binaries.semi_major_axis = semi_major_axis
binaries.eccentricity = 0.0
binaries[0].child1 = stars[0]
binaries[0].child2 = stars[1]
print "First do everything manually:",
self.assertEquals(instance.get_name_of_current_state(), 'UNINITIALIZED')
instance.initialize_code()
self.assertEquals(instance.get_name_of_current_state(), 'INITIALIZED')
instance.commit_parameters()
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.cleanup_code()
self.assertEquals(instance.get_name_of_current_state(), 'END')
instance.stop()
print "ok"
print "initialize_code(), commit_parameters(), " \
"and cleanup_code() should be called automatically:",
instance = MOBSE()
self.assertEquals(instance.get_name_of_current_state(), 'UNINITIALIZED')
instance.parameters.reimers_mass_loss_coefficient = 0.5
self.assertEquals(instance.get_name_of_current_state(), 'INITIALIZED')
instance.particles.add_particles(stars)
instance.binaries.add_particles(binaries)
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.stop()
self.assertEquals(instance.get_name_of_current_state(), 'STOPPED')
print "ok"
def get_ffp_in_orbit(m0, m_ffp, b, r_inf, parabolic_velocity):
m0_and_ffp_in_orbit = Particles(2)
zero_p = 0.0 | nbody_system.length
zero_v = 0.0 | nbody_system.speed
#Central star
m0_and_ffp_in_orbit[0].mass = m0
m0_and_ffp_in_orbit[0].position = (zero_p,zero_p,zero_p)
m0_and_ffp_in_orbit[0].velocity = (zero_v,zero_v,zero_v)
#Free-floating planet
m0_and_ffp_in_orbit[1].mass = m_ffp
m0_and_ffp_in_orbit[1].position = (-r_inf,-b,zero_p)
m0_and_ffp_in_orbit[1].velocity = (parabolic_velocity,zero_v,zero_v)
m1, m2, sma, e, ta, i, lan, ap = orbital_elements_from_binary(m0_and_ffp_in_orbit)
#For the star it sets the initial values of semimajoraxis and eccentricity of the ffp
m0_and_ffp_in_orbit.eccentricity = e
m0_and_ffp_in_orbit.semimajoraxis = sma
return m0_and_ffp_in_orbit
def new_binary_distribution(
primary_mass,
secondary_mass=None,
binaries=None,
min_mass=0.08 | units.MSun,
):
"""
Takes primary masses, and returns a set of stars and a set of binaries
formed by these stars.
Secondary masses are given by a uniform random mass ratio with the primary
masses. If optional secondary masses are given, these are used instead.
binaries is an optional particleset used for the binary pairs, with given
positions and velocities. Other parameters are ignored.
"""
N = len(primary_mass)
if binaries is None:
binaries = Particles(N)
# Should give some position/velocity as well?
elif len(binaries) != N:
print("binaries must be None or have the same lenght as primary_mass")
return -1
if secondary_mass is None:
# Now, we need to specify the mass ratio in the binaries.
# A flat distribution seems to be OK.
mass_ratio = uniform(N)
# This gives us the secondaries' masses
secondary_mass = mass_ratio * primary_mass
# secondaries are min_mass at least
secondary_mass = numpy.maximum(secondary_mass, min_mass)
elif len(secondary_mass) != N:
print("Number of secondaries is unequal to number of primaries!")
return -1
else:
# Make sure primary_mass is the larger of the two, and secondary_mass
# the smaller.
pm = primary_mass.maximum(secondary_mass)
sm = primary_mass.minimum(secondary_mass)
primary_mass = pm
secondary_mass = sm
del(pm, sm)
# Now, we need to calculate the semi-major axes for the binaries. Since the
# observed quantity is orbital periods, we start from there.
mean_log_orbital_period = 5 # 10log of the period in days, (Duchene&Kraus)
sigma_log_orbital_period = 2.3
orbital_period = numpy.random.lognormal(
size=N,
mean=numpy.log(10) * mean_log_orbital_period,
sigma=numpy.log(10) * sigma_log_orbital_period,
) | units.day
# We need the masses to calculate the corresponding semi-major axes.
semi_major_axis = orbital_period_to_semi_major_axis(
orbital_period,
primary_mass,
secondary_mass,
)
# Eccentricity: square root of random value
eccentricity = numpy.sqrt(random(N))
# Other orbital elements at random
inclination = pi * random(N) | units.rad
true_anomaly = 2 * pi * random(N) | units.rad
longitude_of_the_ascending_node = 2 * pi * random(N) | units.rad
argument_of_periapsis = 2 * pi * random(N) | units.rad
primaries, secondaries = generate_binaries(
primary_mass,
secondary_mass,
semi_major_axis,
eccentricity=eccentricity,
inclination=inclination,
true_anomaly=true_anomaly,
longitude_of_the_ascending_node=longitude_of_the_ascending_node,
argument_of_periapsis=argument_of_periapsis,
G=constants.G,
)
stars = Particles()
primaries.position += binaries.position
secondaries.position += binaries.position
primaries.velocity += binaries.velocity
secondaries.velocity += binaries.velocity
primaries = stars.add_particles(primaries)
secondaries = stars.add_particles(secondaries)
binaries.eccentricity = eccentricity
binaries.semi_major_axis = semi_major_axis
for i in range(len(primaries)):
binaries[i].child1 = primaries[i]
binaries[i].child2 = secondaries[i]
# Probably needed
binaries[i].mass = primaries[i].mass + secondaries[i].mass
return stars, binaries
def get_bodies_in_orbit(m0, m_ffp, m_bp, a_bp, e_bp, phi_bp, inc_bp, lan_bp, b_ffp, r_inf):
#Bodies
bodies = Particles()
##Get BP in orbit
#Binary
star_planet = new_binary_from_orbital_elements(m0, m_bp, a_bp, e_bp, true_anomaly=phi_bp, inclination = inc_bp, longitude_of_the_ascending_node = lan_bp)
#Planet attributes
star_planet.eccentricity = e_bp
star_planet.semimajoraxis = a_bp
#Center on the star
star_planet.position -= star_planet[0].position
star_planet.velocity -= star_planet[0].velocity
cm_p = star_planet.center_of_mass()
cm_v = star_planet.center_of_mass_velocity()
##Get FFP in orbit
#Particle set
m0_ffp = Particles(2)
#Zeros and parabolic velocity
zero_p = 0.0 | nbody_system.length
zero_v = 0.0 | nbody_system.speed
parabolic_velocity = get_parabolic_velocity(m0, m_bp, b_ffp, r_inf)
#Central star
m0_ffp[0].mass = m0
m0_ffp[0].position = (zero_p,zero_p,zero_p)
m0_ffp[0].velocity = (zero_v,zero_v,zero_v)
#Free-floating planet
m0_ffp[1].mass = m_ffp
m0_ffp[1].position = (-r_inf+cm_p[0], b_ffp+cm_p[1], cm_p[2])
m0_ffp[1].velocity = (parabolic_velocity+cm_v[0], cm_v[1], cm_v[2])
#To find the orbital period of the BP
G = (1.0 | nbody_system.length**3 * nbody_system.time**-2 * nbody_system.mass**-1)
orbital_period_bp = 2*math.pi*((a_bp**3)/(G*m0)).sqrt()
#To find the distance and time to periastron
kep = Kepler()
kep.initialize_code()
star_planet_as_one = Particles(1)
star_planet_as_one.mass = m0 + m_bp
star_planet_as_one.position = cm_p
star_planet_as_one.velocity = cm_v
kepler_bodies = Particles()
kepler_bodies.add_particle(star_planet_as_one[0])
kepler_bodies.add_particle(m0_ffp[1])
kep.initialize_from_particles(kepler_bodies)
kep.advance_to_periastron()
time_pericenter = kep.get_time()
kep.stop()
binary = [star_planet_as_one[0], m0_ffp[1]]
sma, e, inclination, long_asc_node, arg_per = my_orbital_elements_from_binary(binary)
m0_ffp.eccentricity = e
m0_ffp.semimajoraxis = sma
#Adding bodies. Order: star, ffp, bp
bodies.add_particle(m0_ffp[0])
bodies.add_particle(m0_ffp[1])
bodies.add_particle(star_planet[1])
return bodies, time_pericenter, orbital_period_bp