def result(self):
if self.pickle_file is None:
self.retrieve_stellar_structure()
else:
self.unpickle_stellar_structure()
if self.with_core_particle:
self.setup_core_parameters()
sph_particles = self.convert_to_SPH()
if self.do_relax:
for result_string in self.relax(sph_particles):
print(result_string)
specific_internal_energy, composition, mu = self.interpolate_internal_energy(
sph_particles.position.lengths(),
do_composition_too = self.do_store_composition
)
sph_particles.u = specific_internal_energy
if self.do_store_composition:
sph_particles.add_vector_attribute("composition", self.species_names)
sph_particles.composition = composition
sph_particles.mu = mu
if self.with_core_particle and self.core_radius:
core_particle = Particle()
core_particle.mass = self.core_mass
core_particle.position = [0.0, 0.0, 0.0] | units.m
core_particle.velocity = [0.0, 0.0, 0.0] | units.m / units.s
core_particle.radius = self.core_radius
return StellarModelInSPH(gas_particles=sph_particles, core_particle=core_particle, core_radius=self.core_radius)
return StellarModelInSPH(gas_particles=sph_particles, core_particle=None, core_radius=None)
def form_new_star(
densest_gas_particle,
gas_particles,
# density_threshold=
):
"""
Forms a new star by merging all gas particles within a Jeans radius of the
densest particle. Returns the new star and all particles used to make it.
"""
new_star = Particle()
gas_copy = gas_particles.copy()
# densest_gas_particle = gas_copy.sorted_by_attribute("density")[0]
jeans_radius = 0.025 | units.parsec # 100 | units.AU
gas_copy.position -= densest_gas_particle.position
gas_copy.distance_to_core = gas_copy.position.lengths()
dense_gas = gas_copy.select(lambda x: x < jeans_radius,
["distance_to_core"])
new_star.mass = dense_gas.mass.sum()
new_star.position = (dense_gas.center_of_mass() +
densest_gas_particle.position)
new_star.velocity = dense_gas.center_of_mass_velocity()
new_star.radius = jeans_radius
absorbed_gas = dense_gas
return new_star, absorbed_gas
def test_kepler(N=10000, tend=1.| units.yr,method=0):
numpy.random.seed(12345)
conv=nbody_system.nbody_to_si(2.| units.MSun, 5.|units.AU)
comets=new_plummer_model(N,conv)
sun=Particle(mass=1.|units.MSun)
sun.position=[0,0,0]|units.AU
sun.velocity=[0,0,0]|units.kms
comets.mass*=0.
code=Kepler(conv,redirection="none")
code.set_method(method)
code.central_particle.add_particle(sun)
code.orbiters.add_particles(comets)
a0,eps0=elements(sun.mass,code.orbiters.x,code.orbiters.y,code.orbiters.z,
code.orbiters.vx,code.orbiters.vy,code.orbiters.vz)
# print code.orbiters.x[0]
print orbital_elements_from_binary(code.particles[0:2],constants.G)
t1=time.time()
code.evolve_model(tend)
t2=time.time()
print orbital_elements_from_binary(code.particles[0:2],constants.G)
# print code.orbiters.x[0]
a,eps=elements(sun.mass,code.orbiters.x,code.orbiters.y,code.orbiters.z,
code.orbiters.vx,code.orbiters.vy,code.orbiters.vz)
da=abs((a-a0)/a0)
deps=abs(eps-eps0)/eps0
dev=numpy.where(da > 0.00001)[0]
print len(dev)
print a0[dev].value_in(units.AU)
print eps0[dev]
# pyplot.plot(a0[dev].value_in(units.AU),eps0[dev],"ro")
# pyplot.plot(a[dev].value_in(units.AU),eps[dev],"g+")
print "max da,deps:",da.max(), deps.max()
print "time:",t2-t1
# pyplot.show()
return t2-t1,da.max(),deps.max()
def new_single_star(mass, pos, vel):
single_star = Particle()
single_star.mass = mass
single_star.position = pos
single_star.velocity = vel
single_star.radius = 1.0 | units.RSun
return single_star
def test7(self):
print "Testing Pikachu states"
stars = new_plummer_model(100)
black_hole = Particle()
black_hole.mass = 1.0 | nbody_system.mass
black_hole.radius = 0.0 | nbody_system.length
black_hole.position = [0.0, 0.0, 0.0] | nbody_system.length
black_hole.velocity = [0.0, 0.0, 0.0] | nbody_system.speed
print "First do everything manually:"
instance = self.new_instance_of_an_optional_code(
Pikachu, **default_options)
self.assertEquals(instance.get_name_of_current_state(),
'UNINITIALIZED')
instance.initialize_code()
self.assertEquals(instance.get_name_of_current_state(), 'INITIALIZED')
#~ instance.parameters.rcut_out_star_star = 1.0 | nbody_system.length
instance.parameters.timestep = 0.001 | nbody_system.time
instance.commit_parameters()
self.assertEquals(instance.get_name_of_current_state(), 'EDIT')
instance.particles.add_particles(stars)
instance.commit_particles()
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.particles.remove_particle(stars[0])
instance.particles.add_particle(black_hole)
self.assertEquals(instance.get_name_of_current_state(), 'UPDATE')
instance.recommit_particles()
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.evolve_model(0.001 | nbody_system.time)
self.assertEquals(instance.get_name_of_current_state(), 'EVOLVED')
instance.synchronize_model()
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.cleanup_code()
self.assertEquals(instance.get_name_of_current_state(), 'END')
instance.stop()
print "initialize_code(), commit_parameters(), (re)commit_particles(), " \
"synchronize_model(), and cleanup_code() should be called " \
"automatically before editing parameters, new_particle(), get_xx(), and stop():"
instance = self.new_instance_of_an_optional_code(
Pikachu, **default_options)
self.assertEquals(instance.get_name_of_current_state(),
'UNINITIALIZED')
instance.parameters.timestep = 0.001 | nbody_system.time
self.assertEquals(instance.get_name_of_current_state(), 'INITIALIZED')
instance.particles.add_particles(stars)
self.assertEquals(instance.get_name_of_current_state(), 'EDIT')
mass = instance.particles[0].mass
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.particles.remove_particle(stars[0])
instance.particles.add_particle(black_hole)
self.assertEquals(instance.get_name_of_current_state(), 'UPDATE')
mass = instance.particles[0].mass
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.evolve_model(0.001 | nbody_system.time)
self.assertEquals(instance.get_name_of_current_state(), 'EVOLVED')
mass = instance.particles[0].mass
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.stop()
self.assertEquals(instance.get_name_of_current_state(), 'STOPPED')
def result(self):
if self.pickle_file is None:
self.retrieve_stellar_structure()
else:
self.unpickle_stellar_structure()
if self.with_core_particle:
self.setup_core_parameters()
sph_particles = self.convert_to_SPH()
if self.do_relax:
for result_string in self.relax(sph_particles):
print result_string
specific_internal_energy, composition, mu = self.interpolate_internal_energy(
sph_particles.position.lengths(),
do_composition_too = self.do_store_composition
)
sph_particles.u = specific_internal_energy
if self.do_store_composition:
sph_particles.add_vector_attribute("composition", self.species_names)
sph_particles.composition = composition
sph_particles.mu = mu
if self.with_core_particle and self.core_radius:
core_particle = Particle()
core_particle.mass = self.core_mass
core_particle.position = [0.0, 0.0, 0.0] | units.m
core_particle.velocity = [0.0, 0.0, 0.0] | units.m / units.s
core_particle.radius = self.core_radius
return StellarModelInSPH(gas_particles=sph_particles, core_particle=core_particle, core_radius=self.core_radius)
return StellarModelInSPH(gas_particles=sph_particles, core_particle=None, core_radius=None)
def continue_evolution(sph_code, dynamics_code, t_end, n_steps,
relaxed_giant_output_base_name, do_energy_evolution_plot):
print("Loading snapshots...", end=' ')
files = os.listdir("snapshots")
files.sort()
files = files[-4:]
print(files)
binary = read_set_from_file(os.path.join("snapshots", files[0]), format='amuse')
gd_particles = read_set_from_file(os.path.join("snapshots", files[1]), format='amuse')
sph_particles = read_set_from_file(os.path.join("snapshots", files[2]), format='amuse')
snapshotfile = os.path.join("..", "giant_models", relaxed_giant_output_base_name + "_core.amuse")
core_particle = read_set_from_file(snapshotfile, format='amuse')
giant_model = StellarModelInSPH(
gas_particles = sph_particles,
core_particle = gd_particles[0],
core_radius = core_particle.radius)
view_on_giant = Particle()
view_on_giant.position = [0]*3 | units.m
view_on_giant.velocity = [0]*3 | units.m / units.s
print("\nSetting up {0} to simulate inner binary system".format(dynamics_code.__name__))
binary_system = prepare_binary_system(dynamics_code, binary)
print("\nSetting up {0} to simulate giant in SPH".format(sph_code.__name__))
giant_system = prepare_giant_system(sph_code, giant_model, view_on_giant, t_end, n_steps)
print("\nEvolving with bridge between", sph_code.__name__, "and", dynamics_code.__name__)
evolve_coupled_system(binary_system, giant_system, t_end, n_steps, do_energy_evolution_plot,
previous_data = os.path.join("snapshots", files[3]))
print("Done")
def new_single_star(mass, pos, vel):
single_star = Particle()
single_star.mass = mass
single_star.position = pos
single_star.velocity = vel
single_star.radius = 1.0 | units.RSun
return single_star
def continue_evolution(sph_code, dynamics_code, t_end, n_steps,
relaxed_giant_output_base_name, do_energy_evolution_plot):
print "Loading snapshots...",
files = os.listdir("snapshots")
files.sort()
files = files[-4:]
print files
binary = read_set_from_file(os.path.join("snapshots", files[0]), format='amuse')
gd_particles = read_set_from_file(os.path.join("snapshots", files[1]), format='amuse')
sph_particles = read_set_from_file(os.path.join("snapshots", files[2]), format='amuse')
snapshotfile = os.path.join("..", "giant_models", relaxed_giant_output_base_name + "_core.amuse")
core_particle = read_set_from_file(snapshotfile, format='amuse')
giant_model = StellarModelInSPH(
gas_particles = sph_particles,
core_particle = gd_particles[0],
core_radius = core_particle.radius)
view_on_giant = Particle()
view_on_giant.position = [0]*3 | units.m
view_on_giant.velocity = [0]*3 | units.m / units.s
print "\nSetting up {0} to simulate inner binary system".format(dynamics_code.__name__)
binary_system = prepare_binary_system(dynamics_code, binary)
print "\nSetting up {0} to simulate giant in SPH".format(sph_code.__name__)
giant_system = prepare_giant_system(sph_code, giant_model, view_on_giant, t_end, n_steps)
print "\nEvolving with bridge between", sph_code.__name__, "and", dynamics_code.__name__
evolve_coupled_system(binary_system, giant_system, t_end, n_steps, do_energy_evolution_plot,
previous_data = os.path.join("snapshots", files[3]))
print "Done"
def test7(self):
print "Testing Pikachu states"
stars = new_plummer_model(100)
black_hole = Particle()
black_hole.mass = 1.0 | nbody_system.mass
black_hole.radius = 0.0 | nbody_system.length
black_hole.position = [0.0, 0.0, 0.0] | nbody_system.length
black_hole.velocity = [0.0, 0.0, 0.0] | nbody_system.speed
print "First do everything manually:"
instance = self.new_instance_of_an_optional_code(Pikachu, **default_options)
self.assertEquals(instance.get_name_of_current_state(), 'UNINITIALIZED')
instance.initialize_code()
self.assertEquals(instance.get_name_of_current_state(), 'INITIALIZED')
#~ instance.parameters.rcut_out_star_star = 1.0 | nbody_system.length
instance.parameters.timestep = 0.001 | nbody_system.time
instance.commit_parameters()
self.assertEquals(instance.get_name_of_current_state(), 'EDIT')
instance.particles.add_particles(stars)
instance.commit_particles()
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.particles.remove_particle(stars[0])
instance.particles.add_particle(black_hole)
self.assertEquals(instance.get_name_of_current_state(), 'UPDATE')
instance.recommit_particles()
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.evolve_model(0.001 | nbody_system.time)
self.assertEquals(instance.get_name_of_current_state(), 'EVOLVED')
instance.synchronize_model()
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.cleanup_code()
self.assertEquals(instance.get_name_of_current_state(), 'END')
instance.stop()
print "initialize_code(), commit_parameters(), (re)commit_particles(), " \
"synchronize_model(), and cleanup_code() should be called " \
"automatically before editing parameters, new_particle(), get_xx(), and stop():"
instance = self.new_instance_of_an_optional_code(Pikachu, **default_options)
self.assertEquals(instance.get_name_of_current_state(), 'UNINITIALIZED')
instance.parameters.timestep = 0.001 | nbody_system.time
self.assertEquals(instance.get_name_of_current_state(), 'INITIALIZED')
instance.particles.add_particles(stars)
self.assertEquals(instance.get_name_of_current_state(), 'EDIT')
mass = instance.particles[0].mass
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.particles.remove_particle(stars[0])
instance.particles.add_particle(black_hole)
self.assertEquals(instance.get_name_of_current_state(), 'UPDATE')
mass = instance.particles[0].mass
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.evolve_model(0.001 | nbody_system.time)
self.assertEquals(instance.get_name_of_current_state(), 'EVOLVED')
mass = instance.particles[0].mass
self.assertEquals(instance.get_name_of_current_state(), 'RUN')
instance.stop()
self.assertEquals(instance.get_name_of_current_state(), 'STOPPED')
def __init__(self, potential, particle=None):
self.potential = potential
if particle is None:
particle = Particle()
particle.position = [0., 0., 0.] | units.parsec
particle.velocity = [0., 0., 0.] | units.kms
self.particles = Particles()
self.particles.add_particle(particle)
def __init__(self, potential, particle=None):
self.potential = potential
if particle is None:
particle = Particle()
particle.position = [0., 0., 0.] | units.parsec
particle.velocity = [0., 0., 0.] | units.kms
self.particles = Particles()
self.particles.add_particle(particle)
def merge_two_stars(primary, secondary):
"Merge two colliding stars into one new one"
colliders = Particles()
colliders.add_particle(primary)
colliders.add_particle(secondary)
new_particle = Particle()
new_particle.mass = colliders.mass.sum()
new_particle.position = colliders.center_of_mass()
new_particle.velocity = colliders.center_of_mass_velocity()
return new_particle
def set_up_outer_star(inner_binary_mass):
semimajor_axis = 1.22726535008 | units.AU
eccentricity = 0.15
inclination = math.radians(9.0)
print(" Initializing outer star")
giant = Particle()
giant.mass = 5.5 | units.MSun
giant.position = semimajor_axis * ([math.cos(inclination), 0, math.sin(inclination)] | units.none)
giant.velocity = get_relative_velocity(giant.mass + inner_binary_mass,
semimajor_axis, eccentricity) * ([0, 1, 0] | units.none)
return giant
def set_up_outer_star(inner_binary_mass):
semimajor_axis = triple_parameters["a_out"]
eccentricity = triple_parameters["eccentricity_out"]
print " Initializing outer star"
giant = Particle()
giant.mass = triple_parameters["mass_out"]
giant.position = semimajor_axis * (1 + eccentricity) * ([1, 0, 0]
| units.none)
giant.velocity = get_relative_velocity_at_apastron(
giant.mass + inner_binary_mass, semimajor_axis,
eccentricity) * ([0, 1, 0] | units.none)
return giant
def set_up_outer_star(inner_binary_mass):
semimajor_axis = 1.22726535008 | units.AU
eccentricity = 0.15
inclination = math.radians(9.0)
print " Initializing outer star"
giant = Particle()
giant.mass = 5.5 | units.MSun
giant.position = semimajor_axis * ([math.cos(inclination), 0, math.sin(inclination)] | units.none)
giant.velocity = get_relative_velocity(giant.mass + inner_binary_mass,
semimajor_axis, eccentricity) * ([0, 1, 0] | units.none)
return giant
def setup_system():
"""
Galacitic center potential and Arches cluster
position from Kruijssen 2014
"""
potential = static_potentials.Galactic_Center_Potential_Kruijssen()
cluster = Particle()
# At time 2.05 in KDL15
cluster.position = [-17.55767, -53.26560, -9.39921] | units.parsec
cluster.velocity = [-187.68008, 80.45276, 33.96556] | units.kms
cluster.position += coordinate_correction
return potential, cluster
def setup_system():
"""
Galacitic center potential and Arches cluster
position from Kruijssen 2014
"""
potential = static_potentials.Galactic_Center_Potential_Kruijssen()
cluster = Particle()
# At time 2.05 in KDL15
cluster.position = [-17.55767, -53.26560, -9.39921] | units.parsec
cluster.velocity = [-187.68008, 80.45276, 33.96556] | units.kms
cluster.position += coordinate_correction
return potential, cluster
def new_system(star_mass=1 | units.MSun,
star_radius=1 | units.RSun,
disk_minimum_radius=0.05 | units.AU,
disk_maximum_radius=10 | units.AU,
disk_mass=20 | MEarth,
accurancy=0.0001,
planet_density=3 | units.g / units.cm**3,
rng=None,
kepler=None):
central_particle = Particle()
central_particle.mass = star_mass
central_particle.position = (0, 0, 0) | units.AU
central_particle.velocity = (0, 0, 0) | units.kms
central_particle.radius = star_radius
central_particle.name = "star"
central_particle.type = "star"
central_particle.id = 0
if rng is None:
rng = numpy.random
converter = nbody_system.nbody_to_si(1 | units.MSun, 1 | units.AU)
if kepler is None:
kepler = Kepler(converter)
kepler.initialize_code()
m, r, f = new_planet_distribution(disk_minimum_radius, disk_maximum_radius,
disk_mass, accurancy)
planets = make_planets(central_particle,
m,
r,
density=planet_density,
phi=0,
theta=None,
kepler=kepler,
rng=rng)
planets.name = "planet"
planets.type = "planet"
for i in range(len(planets)):
planets[i].id = i
central_particle.planets = planets
kepler.stop()
p = Particles()
p.add_particle(central_particle)
return p
def get_moons_for_planet(planet, delta_JD=0. | units.day):
"""
The Earth's moon
as for JD = 2457099.500000000 = A.D. 2015-Mar-18 00:00:00.0000 (CT)
https://ssd.jpl.nasa.gov/?sat_elem
"""
data = numpy.array([tuple(entry) for entry in _lunar_data],
dtype=[('planet_name', 'S10'), ('name', 'S10'),
('mass', '<f8'), ('radius', '<f8'),
('semimajor_axis', '<f8'),
('eccentricity', '<f8'),
('argument_of_peri', '<f8'),
('mean_anomaly', '<f8'), ('inclination', '<f8'),
('longitude_oan', '<f8')])
moon_data = data[data['planet_name'] == planet.name.encode('UTF-8')]
print("Planet=", planet.name, "moon=", moon_data["name"])
moons = Particles()
if len(moon_data["name"]):
print(len(moon_data["name"]))
for moon in moon_data:
#Ignore the moon for now, because it's complicated
if planet.name == "EarthMoon":
planet.mass -= moon["mass"] * 1.e+16 | units.kg
planet.name = "Earth"
#print moon
r, v = get_position(planet.mass,
moon["mass"] * 1.e+16 | units.kg,
moon["eccentricity"],
moon["semimajor_axis"] | units.km,
numpy.deg2rad(moon["mean_anomaly"]),
numpy.deg2rad(moon["inclination"]),
numpy.deg2rad(moon["longitude_oan"]),
numpy.deg2rad(moon["argument_of_peri"]),
delta_t=delta_JD)
single_moon = Particle()
single_moon.type = "moon"
single_moon.name = moon["name"]
single_moon.mass = moon["mass"] * 1.e+16 | units.kg
single_moon.hostname = moon["planet_name"]
single_moon.radius = moon["radius"] | units.km
single_moon.position = r
single_moon.position += planet.position
single_moon.velocity = v
single_moon.velocity += planet.velocity
moons.add_particle(single_moon)
return moons
def new_particle_from_cluster_core(particles,
unit_converter=None,
density_weighting_power=2,
cm=None,
reuse_hop=False,
hop=HopContainer()):
"""
Uses Hop to find the density centre (core) of a particle distribution
and stores the properties of this core on a particle:
position, velocity, (core) radius and (core) density.
Particles are assigned weights that depend on the density (as determined by
Hop) to a certain power.
The default weighting power is 2, which is most commonly used. Set
density_weighting_power to 1 in order to get the original weighting of
Casertano & Hut (1985, ApJ, 298, 80).
:argument unit_converter: Required if the particles are in SI units
:argument density_weighting_power: Particle properties are weighted by density to this power
"""
if isinstance(hop, HopContainer):
hop.initialize(unit_converter)
hop = hop.code
in_hop = hop.particles.add_particles(particles)
hop.parameters.density_method = 2
hop.parameters.number_of_neighbors_for_local_density = 7
hop.calculate_densities()
density = in_hop.density.copy()
if not reuse_hop:
hop.stop()
weights = (density**density_weighting_power).reshape((-1, 1))
# Reshape makes sure that density can be multiplied with vectors, e.g. position
result = Particle()
result.density = density.amax()
total_weight = weights.sum()
if cm is None:
result.position = (weights *
particles.position).sum(axis=0) / total_weight
else:
result.position = cm
result.velocity = (weights * particles.velocity).sum(axis=0) / total_weight
result.radius = (
weights.flatten() *
(particles.position - result.position).lengths()).sum() / total_weight
return result
def new_system(
star_mass = 1|units.MSun,
star_radius = 1|units.RSun,
disk_minumum_radius = 0.05 | units.AU,
disk_maximum_radius = 10 | units.AU,
disk_mass = 20 | MEarth,
accurancy = 0.0001,
planet_density = 3 | units.g/units.cm**3,
rng = None,
kepler = None):
central_particle = Particle()
central_particle.mass = star_mass
central_particle.position = (0,0,0) | units.AU
central_particle.velocity = (0,0,0) | units.kms
central_particle.radius = star_radius
if rng is None:
rng = numpy.random
converter = nbody_system.nbody_to_si(1|units.MSun, 1 | units.AU)
if kepler is None:
kepler = Kepler(converter)
kepler.initialize_code()
m, r, f = new_planet_distribution(
disk_minumum_radius, disk_maximum_radius,
disk_mass,
accurancy
)
planets = make_planets(
central_particle,
m, r,
density = planet_density,
phi = 0, theta = None,
kepler = kepler,
rng = rng
)
central_particle.planets = planets
kepler.stop()
p = Particles()
p.add_particle(central_particle)
return p
def set_up_outer_star(inner_binary_mass):
orbital_period = 4020.0 | units.day
mass = 1.3 | units.MSun
semimajor_axis = (((constants.G *
(inner_binary_mass + mass) * orbital_period**2) /
(4 * numpy.pi**2))**(1.0 / 3.0)).as_quantity_in(
units.RSun)
print " Initializing outer star"
print " Semimajor axis outer binary:", semimajor_axis
giant = Particle()
giant.mass = mass
giant.position = semimajor_axis * ([1, 0, 0] | units.none)
giant.velocity = get_relative_velocity(giant.mass + inner_binary_mass,
semimajor_axis,
0) * ([0, 1, 0] | units.none)
return giant
def new_particle_from_cluster_core(
particles, unit_converter=None, density_weighting_power=2, cm=None, reuse_hop=False, hop=HopContainer()
):
"""
Uses Hop to find the density centre (core) of a particle distribution
and stores the properties of this core on a particle:
position, velocity, (core) radius and (core) density.
Particles are assigned weights that depend on the density (as determined by
Hop) to a certain power.
The default weighting power is 2, which is most commonly used. Set
density_weighting_power to 1 in order to get the original weighting of
Casertano & Hut (1985, ApJ, 298, 80).
:argument unit_converter: Required if the particles are in SI units
:argument density_weighting_power: Particle properties are weighted by density to this power
"""
if isinstance(hop, HopContainer):
hop.initialize(unit_converter)
hop = hop.code
in_hop = hop.particles.add_particles(particles)
hop.parameters.density_method = 2
hop.parameters.number_of_neighbors_for_local_density = 7
hop.calculate_densities()
density = in_hop.density.copy()
if not reuse_hop:
hop.stop()
weights = (density ** density_weighting_power).reshape((-1, 1))
# Reshape makes sure that density can be multiplied with vectors, e.g. position
result = Particle()
result.density = density.amax()
total_weight = weights.sum()
if cm is None:
result.position = (weights * particles.position).sum(axis=0) / total_weight
else:
result.position = cm
result.velocity = (weights * particles.velocity).sum(axis=0) / total_weight
result.radius = (weights.flatten() * (particles.position - result.position).lengths()).sum() / total_weight
return result
def get_moons_for_planet(planet, delta_JD=0.|units.day):
"""
The Earth's moon
as for JD = 2457099.500000000 = A.D. 2015-Mar-18 00:00:00.0000 (CT)
https://ssd.jpl.nasa.gov/?sat_elem
"""
data = numpy.array([tuple(entry) for entry in _lunar_data],
dtype=[('planet_name','S10'), ('name','S10'),
('mass','<f8'), ('radius','<f8'), ('semimajor_axis','<f8'),
('eccentricity','<f8'), ('argument_of_peri','<f8'),
('mean_anomaly','<f8'), ('inclination','<f8'), ('longitude_oan','<f8')])
moon_data = data[data['planet_name']==planet.name]
print "Planet=", planet.name, "moon=", moon_data["name"]
moons = Particles()
if len(moon_data["name"]):
print len(moon_data["name"])
for moon in moon_data:
#print moon
r, v = get_position(planet.mass,
moon["mass"] * 1.e+16 | units.kg,
moon["eccentricity"],
moon["semimajor_axis"]|units.km,
numpy.deg2rad(moon["mean_anomaly"]),
numpy.deg2rad(moon["inclination"]),
numpy.deg2rad(moon["longitude_oan"]),
numpy.deg2rad(moon["argument_of_peri"]),
delta_t=delta_JD)
single_moon = Particle()
single_moon.type = "moon"
single_moon.name = moon["name"]
single_moon.mass = moon["mass"] * 1.e+16 | units.kg
single_moon.hostname = moon["planet_name"]
single_moon.radius = moon["radius"] | units.km
single_moon.position = r
single_moon.position += planet.position
single_moon.velocity = v
single_moon.velocity += planet.velocity
moons.add_particle(single_moon)
return moons
def giant_to_sph(giant, stellar_structure_file, number_of_sph_particles):
model = convert_stellar_model_to_SPH(None,
number_of_sph_particles,
pickle_file=stellar_structure_file,
with_core_particle=True,
target_core_mass=2.0 | units.MSun,
do_store_composition=False,
base_grid_options=dict(type="fcc"))
sph_giant = model.gas_particles
if model.core_particle is None:
core = Particle(mass=0 | units.MSun, radius=1 | units.RSun)
core_radius = core.radius
else:
core = model.core_particle
core_radius = model.core_radius
sph_giant.position += giant.position
sph_giant.velocity += giant.velocity
core.position = giant.position
core.velocity = giant.velocity
print "Core radius:", core_radius.as_string_in(units.RSun)
return sph_giant, core, core_radius
def get_sun_and_planets(delta_JD=0.|units.day):
"""
eight planets of the Solar System
as for JD = 2457099.500000000 = A.D. 2015-Mar-18 00:00:00.0000 (CT)
http://ssd.jpl.nasa.gov/horizons.cgi
"""
planets = Particles(8)
# mass
planets.mass = [3.302e23,
48.685e23,
5.97219e24,
6.4185e23,
1898.13e24,
5.68319e26,
86.8103e24,
102.41e24] | units.kg
# eccentricity
planets_ecc = [2.056263501026885E-01,
6.756759719005901E-03,
1.715483324953308E-02,
9.347121362500883E-02,
4.877287772914470E-02,
5.429934603664216E-02,
4.911406962716518E-02,
8.494660388602767E-03]
# semi-major axis
planets_semi = [3.870989725156447E-01,
7.233252880006816E-01,
1.000816989613834E+00,
1.523624142457679E+00,
5.203543088590996E+00,
9.547316304899041E+00,
1.915982879739036E+01,
2.997013749028780E+01] | units.AU
# mean anomaly [degrees]
planets_mean_anomaly = [2.256667460183225E+02,
3.096834722926926E+02,
6.970055236286768E+01,
5.013506750245609E+01,
1.213203242081277E+02,
1.423311616732398E+02,
2.079860620353052E+02,
2.712246916734600E+02]
planets_mean_anomaly = numpy.array(planets_mean_anomaly) * pi_over_180
# inclination [IN degrees]
planets_inclination = [7.004026765179669E+00,
3.394480103844425E+00,
3.563477431351056E-03,
1.848403408106458E+00,
1.303457729562742E+00,
2.488017444885577E+00,
7.728000142736371E-01,
1.767720502209091E+00]
planets_inclination = numpy.array(planets_inclination) * pi_over_180
# Longitude of Ascending Node [OM degrees]
planets_longitude = [4.831163083479358E+01,
7.663982595051040E+01,
1.775515437672556E+02,
4.951282677064384E+01,
1.005036717671826E+02,
1.135683875842263E+02,
7.388411509910506E+01,
1.317497218434830E+02]
planets_longitude = numpy.array(planets_longitude) * pi_over_180
# Argument of Perihelion [W degrees]
planets_argument = [2.916964171964058E+01,
5.469102797401222E+01,
2.877495001117996E+02,
2.865420083537150E+02,
2.740725976811202E+02,
3.398666856578898E+02,
9.666856264946740E+01,
2.951871807292030E+02]
planets_argument = numpy.array(planets_argument) * pi_over_180
planets.name = ['Mercury',
'Venus',
'Earth',
'Mars',
'Jupiter',
'Satrun',
'Uranus',
'Neptune']
### to compare with JPL, mass of the Sun needs to be rescaled
#mg_nasa = 1.32712440018e20 | (units.m**3 / units.s**2)
#g_nasa = 6.67259e-11 | (units.m**3 / units.kg / units.s**2)
#ms = mg_nasa / g_nasa
sun = Particle()
sun.name = 'Sun'
#sun.mass = ms
sun.mass = 1.0 | units.MSun
sun.position = [0.,0.,0.] | units.AU
sun.velocity = [0.,0.,0.] | units.kms
# get the position and velocity vectors relative to sun
# by evolving in Kepler
for i,ecc_i in enumerate(planets_ecc):
r, v = get_position(sun.mass,
planets[i].mass,
planets_ecc[i],
planets_semi[i],
planets_mean_anomaly[i],
planets_inclination[i],
planets_longitude[i],
planets_argument[i],
delta_t=delta_JD)
planets[i].position = r
planets[i].velocity = v
return sun, planets
def evolve_triple_with_wind(M1, M2, M3, Pora, Pin_0, ain_0, aout_0,
ein_0, eout_0, t_end, nsteps, scheme, integrator,
t_stellar, dt_se, dtse_fac, interp):
import random
from amuse.ext.solarsystem import get_position
numpy.random.seed(42)
print("Initial masses:", M1, M2, M3)
triple = Particles(3)
triple[0].mass = M1
triple[1].mass = M2
triple[2].mass = M3
stellar = SeBa()
stellar.particles.add_particles(triple)
channel_from_stellar = stellar.particles.new_channel_to(triple)
# Evolve to t_stellar.
stellar.evolve_model(t_stellar)
channel_from_stellar.copy_attributes(["mass"])
M1 = triple[0].mass
M2 = triple[1].mass
M3 = triple[2].mass
print("t=", stellar.model_time.in_(units.Myr))
print("M=", stellar.particles.mass.in_(units.MSun))
print("R=", stellar.particles.radius.in_(units.RSun))
print("L=", stellar.particles.luminosity.in_(units.LSun))
print("T=", stellar.particles.temperature.in_(units.K))
print("Mdot=", \
-stellar.particles.wind_mass_loss_rate.in_(units.MSun/units.yr))
# Start the dynamics.
# Inner binary:
tmp_stars = Particles(2)
tmp_stars[0].mass = M1
tmp_stars[1].mass = M2
if Pora == 1:
ain_0 = semimajor_axis(Pin_0, M1+M2)
else:
Pin_0 = orbital_period(ain_0, M1+M2)
print('Pin =', Pin_0)
print('ain_0 =', ain_0)
print('M1+M2 =', M1+M2)
print('Pin_0 =', Pin_0.value_in(units.day), '[day]')
#print 'semi:', semimajor_axis(Pin_0, M1+M2).value_in(units.AU), 'AU'
#print 'period:', orbital_period(ain_0, M1+M2).value_in(units.day), '[day]'
dt_init = 0.01*Pin_0
ma = 180
inc = 60
aop = 180
lon = 0
r,v = get_position(M1, M2, ein_0, ain_0, ma, inc, aop, lon, dt_init)
tmp_stars[1].position = r
tmp_stars[1].velocity = v
tmp_stars.move_to_center()
# Outer binary:
r,v = get_position(M1+M2, M3, eout_0, aout_0, 0, 0, 0, 0, dt_init)
tertiary = Particle()
tertiary.mass = M3
tertiary.position = r
tertiary.velocity = v
tmp_stars.add_particle(tertiary)
tmp_stars.move_to_center()
triple.position = tmp_stars.position
triple.velocity = tmp_stars.velocity
Mtriple = triple.mass.sum()
Pout = orbital_period(aout_0, Mtriple)
print("T=", stellar.model_time.in_(units.Myr))
print("M=", stellar.particles.mass.in_(units.MSun))
print("Pout=", Pout.in_(units.Myr))
print('tK =', ((M1+M2)/M3)*Pout**2*(1-eout_0**2)**1.5/Pin_0)
converter = nbody_system.nbody_to_si(triple.mass.sum(), aout_0)
if integrator == 0:
gravity = Hermite(converter)
gravity.parameters.timestep_parameter = 0.01
elif integrator == 1:
gravity = SmallN(converter)
gravity.parameters.timestep_parameter = 0.01
gravity.parameters.full_unperturbed = 0
elif integrator == 2:
gravity = Huayno(converter)
gravity.parameters.inttype_parameter = 20
gravity.parameters.timestep = (1./256)*Pin_0
else:
gravity = symple(converter)
gravity.parameters.integrator = 10
#gravity.parameters.timestep_parameter = 0.
gravity.parameters.timestep = (1./128)*Pin_0
print(gravity.parameters)
gravity.particles.add_particles(triple)
channel_from_framework_to_gd = triple.new_channel_to(gravity.particles)
channel_from_gd_to_framework = gravity.particles.new_channel_to(triple)
Etot_init = gravity.kinetic_energy + gravity.potential_energy
Etot_prev = Etot_init
gravity.particles.move_to_center()
# Note: time = t_diag = 0 at the start of the dynamical integration.
dt_diag = t_end/float(nsteps)
t_diag = dt_diag
time = 0.0 | t_end.unit
t_se = t_stellar + time
print('t_end =', t_end)
print('dt_diag =', dt_diag)
ain, ein, aout, eout = get_orbital_elements_of_triple(triple)
print("Triple elements t=", time, \
"inner:", triple[0].mass, triple[1].mass, ain, ein, \
"outer:", triple[2].mass, aout, eout)
t = [time.value_in(units.Myr)]
Mtot = triple.mass.sum()
mtot = [Mtot.value_in(units.MSun)]
smai = [ain/ain_0]
ecci = [ein/ein_0]
smao = [aout/aout_0]
ecco = [eout/eout_0]
if interp:
# Create arrays of stellar times and masses for interpolation.
times = [time]
masses = [triple.mass.copy()]
while time < t_end:
time += dt_se
stellar.evolve_model(t_stellar+time)
channel_from_stellar.copy_attributes(["mass"])
times.append(time)
masses.append(triple.mass.copy())
time = 0.0 | t_end.unit
print('\ntimes:', times, '\n')
# Evolve the system.
def advance_stellar(t_se, dt):
E0 = gravity.kinetic_energy + gravity.potential_energy
t_se += dt
if interp:
t = t_se-t_stellar
i = int(t/dt_se)
mass = masses[i] + (t-times[i])*(masses[i+1]-masses[i])/dt_se
triple.mass = mass
#print 't_se =', t_se, 'masses =', mass
else:
stellar.evolve_model(t_se)
channel_from_stellar.copy_attributes(["mass"])
channel_from_framework_to_gd.copy_attributes(["mass"])
return t_se, gravity.kinetic_energy + gravity.potential_energy - E0
def advance_gravity(tg, dt):
tg += dt
gravity.evolve_model(tg)
channel_from_gd_to_framework.copy()
return tg
while time < t_end:
if scheme == 1:
# Advance to the next diagnostic time.
dE_se = zero
dt = t_diag - time
if dt > 0|dt.unit:
time = advance_gravity(time, dt)
elif scheme == 2:
# Derive dt from Pin using dtse_fac.
dt = dtse_fac*Pin_0
if time + dt > t_diag: dt = t_diag - time
if dt > 0|dt.unit:
t_se, dE_se = advance_stellar(t_se, dt)
time = advance_gravity(time, dt)
elif scheme == 3:
# Derive dt from Pin using dtse_fac.
dt = dtse_fac*Pin_0
if time + dt > t_diag: dt = t_diag - time
if dt > 0|dt.unit:
time = advance_gravity(time, dt)
t_se, dE_se = advance_stellar(t_se, dt)
elif scheme == 4:
# Derive dt from Pin using dtse_fac.
dt = dtse_fac*Pin_0
if time + dt > t_diag: dt = t_diag - time
if dt > 0|dt.unit:
t_se, dE_se = advance_stellar(t_se, 0.5*dt)
time = advance_gravity(time, dt)
t_se, dE_se2 = advance_stellar(t_se, 0.5*dt)
dE_se += dE_se2
elif scheme == 5:
# Use the specified dt_se.
dE_se = zero
dt = dt_se
if time + dt > t_diag: dt = t_diag - time
if dt > 0|dt.unit:
# For use with symple only: set up average mass loss.
channel_from_stellar.copy_attributes(["mass"])
m0 = triple.mass.copy()
stellar.evolve_model(t_se+dt)
channel_from_stellar.copy_attributes(["mass"])
t_se = stellar.model_time
m1 = triple.mass
dmdt = (m1-m0)/dt
for i in range(len(dmdt)):
gravity.set_dmdt(i, dmdt[i])
time = advance_gravity(time, dt)
else:
print('unknown option')
sys.exit(0)
if time >= t_diag:
t_diag = time + dt_diag
Ekin = gravity.kinetic_energy
Epot = gravity.potential_energy
Etot = Ekin + Epot
dE = Etot_prev - Etot
Mtot = triple.mass.sum()
print("T=", time, end=' ')
print("M=", Mtot, "(dM[SE]=", Mtot/Mtriple, ")", end=' ')
print("E= ", Etot, "Q= ", Ekin/Epot, end=' ')
print("dE=", (Etot_init-Etot)/Etot, "ddE=", (Etot_prev-Etot)/Etot, end=' ')
print("(dE[SE]=", dE_se/Etot, ")")
Etot_init -= dE
Etot_prev = Etot
ain, ein, aout, eout = get_orbital_elements_of_triple(triple)
print("Triple elements t=", t_stellar + time, \
"inner:", triple[0].mass, triple[1].mass, ain, ein, \
"outer:", triple[2].mass, aout, eout)
t.append(time.value_in(units.yr))
mtot.append(Mtot.value_in(units.MSun))
smai.append(ain/ain_0)
ecci.append(ein/ein_0)
smao.append(aout/aout_0)
ecco.append(eout/eout_0)
if eout > 1 or aout <= zero:
print("Binary ionized or merged")
break
gravity.stop()
stellar.stop()
return t, mtot, smai, ecci, smao, ecco
def evolve_triple_with_wind(M1, M2, M3, Pora, Pin_0, ain_0, aout_0, ein_0,
eout_0, t_end, nsteps, scheme, dtse_fac):
import random
from amuse.ext.solarsystem import get_position
time_framework = 0
print "Initial masses:", M1, M2, M3
t_stellar = 4.0 | units.Myr
triple = Particles(3)
triple[0].mass = M1
triple[1].mass = M2
triple[2].mass = M3
stellar = SeBa()
stellar.particles.add_particles(triple)
channel_from_stellar = stellar.particles.new_channel_to(triple)
t0 = ctime.time()
stellar.evolve_model(t_stellar)
delta_t = ctime.time() - t0
time_framework += delta_t
channel_from_stellar.copy_attributes(["mass"])
M1 = triple[0].mass
M2 = triple[1].mass
M3 = triple[2].mass
print "T=", stellar.model_time.in_(units.Myr)
print "M=", stellar.particles.mass.in_(units.MSun)
print "Masses at time T:", M1, M2, M3
# Inner binary
tmp_stars = Particles(2)
tmp_stars[0].mass = M1
tmp_stars[1].mass = M2
if Pora == 1:
ain_0 = semimajor_axis(Pin_0, M1 + M2)
else:
Pin_0 = orbital_period(ain_0, M1 + M2)
print 'ain_0 =', ain_0
print 'M1+M2 =', M1 + M2
print 'Pin_0 =', Pin_0.value_in(units.day), '[day]'
#print 'semi:', semimajor_axis(Pin_0, M1+M2).value_in(units.AU), 'AU'
#print 'period:', orbital_period(ain_0, M1+M2).value_in(units.day), '[day]'
dt = 0.1 * Pin_0
ma = 180
inc = 30
aop = 180
lon = 0
r, v = get_position(M1, M2, ein_0, ain_0, ma, inc, aop, lon, dt)
tmp_stars[1].position = r
tmp_stars[1].velocity = v
tmp_stars.move_to_center()
# Outer binary
r, v = get_position(M1 + M2, M3, eout_0, aout_0, 0, 0, 0, 0, dt)
tertiary = Particle()
tertiary.mass = M3
tertiary.position = r
tertiary.velocity = v
tmp_stars.add_particle(tertiary)
tmp_stars.move_to_center()
triple.position = tmp_stars.position
triple.velocity = tmp_stars.velocity
Mtriple = triple.mass.sum()
Pout = orbital_period(aout_0, Mtriple)
print "T=", stellar.model_time.in_(units.Myr)
print "M=", stellar.particles.mass.in_(units.MSun)
print "Pout=", Pout.in_(units.Myr)
converter = nbody_system.nbody_to_si(triple.mass.sum(), aout_0)
gravity = Huayno(converter)
gravity.particles.add_particles(triple)
channel_from_framework_to_gd = triple.new_channel_to(gravity.particles)
channel_from_gd_to_framework = gravity.particles.new_channel_to(triple)
Etot_init = gravity.kinetic_energy + gravity.potential_energy
Etot_prev = Etot_init
gravity.particles.move_to_center()
time = 0.0 | t_end.unit
ts = t_stellar + time # begin when stars have formed after 4.0 Myr years
ain, ein, aout, eout, iin, iout = get_orbital_elements_of_triple(triple)
print "Triple elements t=", time, \
"inner:", triple[0].mass, triple[1].mass, ain, ein, iin, \
"outer:", triple[2].mass, aout, eout, iout
dt_diag = t_end / float(
nsteps) # how often we want to save the generated data
t_diag = dt_diag
t = [time.value_in(units.Myr)]
smai = [ain / ain_0]
ecci = [ein / ein_0]
smao = [aout / aout_0]
ecco = [eout / eout_0]
inci = [iin]
inco = [iout]
ain = ain_0
def advance_stellar(ts, dt):
E0 = gravity.kinetic_energy + gravity.potential_energy
ts += dt
stellar.evolve_model(ts)
channel_from_stellar.copy_attributes(["mass"])
channel_from_framework_to_gd.copy_attributes(["mass"])
return ts, gravity.kinetic_energy + gravity.potential_energy - E0
def advance_stellar_with_massloss(
ts,
time_framework,
dt_massloss=15e-9 | units.Myr,
max_massloss=3e-4
| units.MSun): # Scheme 3: dt 8*10^-7, dm = 2*10^-5 (
max_massloss = 0.0 | units.MSun # massloss over full gravtiational time step massloss0
#max_massloss= 3e-6 | units.MSun # massloss over full gravtiational time step massloss1
#max_massloss= 1e-6 | units.MSun # massloss over full gravtiational time step massloss2
E0 = gravity.kinetic_energy + gravity.potential_energy
massloss = -1 | units.MSun
mass_0 = numpy.sum(stellar.particles.mass)
dt_stellar = 0 | units.Myr
niter = 0
while massloss < max_massloss:
ts += dt_massloss
dt_stellar += dt_massloss # counter for full time
niter += 1
t0 = ctime.time()
stellar.evolve_model(ts)
delta_t = ctime.time() - t0
time_framework += delta_t
massloss = 2. * (
mass_0 - numpy.sum(stellar.particles.mass)
) # massloss over full gravtiational time step is x2
channel_from_stellar.copy_attributes(["mass"])
channel_from_framework_to_gd.copy_attributes(["mass"])
print 'Tstellar:', dt_stellar, ', Total Mloss:', massloss, ' Niter:', niter
return ts, time_framework, gravity.kinetic_energy + gravity.potential_energy - E0, dt_stellar
def advance_gravity(tg, dt):
tg += dt
gravity.evolve_model(tg)
channel_from_gd_to_framework.copy()
return tg
global_time = []
global_massloss = []
global_dmdt = []
while time < t_end:
Pin = orbital_period(ain, triple[0].mass + triple[1].mass)
dt = dtse_fac * Pin
dt *= random.random(
) # time step is chosen random between 0 and 50*Pin
if scheme == 1:
ts, dE_se = advance_stellar(ts, dt)
time = advance_gravity(time, dt)
elif scheme == 2:
time = advance_gravity(time, dt)
ts, dE_se = advance_stellar(ts, dt)
elif scheme == 3:
# inital mass
mass_init = stellar.particles.mass.sum()
# perform step
ts, dE_se = advance_stellar(ts, dt / 2)
time = advance_gravity(time, dt)
ts, dE = advance_stellar(ts, dt / 2)
dE_se += dE
# add right vlaues
global_time = numpy.append(global_time, time.value_in(units.Myr))
global_massloss = numpy.append(
global_massloss,
mass_init.value_in(units.MSun) -
numpy.sum(stellar.particles.mass).value_in(units.MSun))
else: # our scheme is 4
# inital mass
mass_init = stellar.particles.mass.sum()
time_init = time.value_in(units.Myr) | units.Myr
# get optimal dt to perform a time step without losing too much mass
ts, time_framework, dE_se, dt_stellar = advance_stellar_with_massloss(
ts, time_framework)
# perform time step dt
t0 = ctime.time()
time = advance_gravity(time, dt_stellar * 2)
ts, dE = advance_stellar(ts, dt_stellar)
delta_t = ctime.time() - t0
time_framework += delta_t
dE_se += dE
# save everything
global_time = numpy.append(global_time, time.value_in(units.Myr))
global_massloss = numpy.append(
global_massloss,
mass_init.value_in(units.MSun) -
numpy.sum(stellar.particles.mass).value_in(units.MSun))
global_dmdt = numpy.append(
global_dmdt,
(mass_init.value_in(units.MSun) -
numpy.sum(stellar.particles.mass).value_in(units.MSun)) /
(time.value_in(units.Myr) - time_init.value_in(units.Myr)))
if time >= t_diag:
t_diag = time + dt_diag
Ekin = gravity.kinetic_energy
Epot = gravity.potential_energy
Etot = Ekin + Epot
dE = Etot_prev - Etot
Mtot = triple.mass.sum()
print "T=", time #,
#print "M=", Mtot, "(dM[SE]=", Mtot/Mtriple, ")",
#print "E= ", Etot, "Q= ", Ekin/Epot,
#print "dE=", (Etot_init-Etot)/Etot, "ddE=", (Etot_prev-Etot)/Etot,
#print "(dE[SE]=", dE_se/Etot, ")"
Etot_init -= dE
Etot_prev = Etot
ain, ein, aout, eout, iin, iout = get_orbital_elements_of_triple(
triple)
#print "Triple elements t=", (4|units.Myr) + time, \
# "inner:", triple[0].mass, triple[1].mass, ain, ein, \
# "outer:", triple[2].mass, aout, eout
t.append(time.value_in(units.Myr))
smai.append(ain / ain_0)
ecci.append(ein / ein_0)
smao.append(aout / aout_0)
ecco.append(eout / eout_0)
inci.append(iin)
inco.append(iout)
if eout > 1.0 or aout <= zero:
print "Binary ionized or merged"
break
pyplot.close()
data = numpy.array(zip(global_time, global_massloss, global_dmdt))
numpy.save('massloss0', data)
return t, smai, ecci, smao, ecco, inci, inco, time_framework
def evolve_triple_with_wind(M1, M2, M3, Pora, Pin_0, ain_0, aout_0,
ein_0, eout_0, t_end, nsteps, scheme, integrator,
t_stellar, dt_se, dtse_fac, interp):
import random
from amuse.ext.solarsystem import get_position
numpy.random.seed(42)
print "Initial masses:", M1, M2, M3
triple = Particles(3)
triple[0].mass = M1
triple[1].mass = M2
triple[2].mass = M3
stellar = SeBa()
stellar.particles.add_particles(triple)
channel_from_stellar = stellar.particles.new_channel_to(triple)
# Evolve to t_stellar.
stellar.evolve_model(t_stellar)
channel_from_stellar.copy_attributes(["mass"])
M1 = triple[0].mass
M2 = triple[1].mass
M3 = triple[2].mass
print "t=", stellar.model_time.in_(units.Myr)
print "M=", stellar.particles.mass.in_(units.MSun)
print "R=", stellar.particles.radius.in_(units.RSun)
print "L=", stellar.particles.luminosity.in_(units.LSun)
print "T=", stellar.particles.temperature.in_(units.K)
print "Mdot=", \
-stellar.particles.wind_mass_loss_rate.in_(units.MSun/units.yr)
# Start the dynamics.
# Inner binary:
tmp_stars = Particles(2)
tmp_stars[0].mass = M1
tmp_stars[1].mass = M2
if Pora == 1:
ain_0 = semimajor_axis(Pin_0, M1+M2)
else:
Pin_0 = orbital_period(ain_0, M1+M2)
print 'Pin =', Pin_0
print 'ain_0 =', ain_0
print 'M1+M2 =', M1+M2
print 'Pin_0 =', Pin_0.value_in(units.day), '[day]'
#print 'semi:', semimajor_axis(Pin_0, M1+M2).value_in(units.AU), 'AU'
#print 'period:', orbital_period(ain_0, M1+M2).value_in(units.day), '[day]'
dt_init = 0.01*Pin_0
ma = 180
inc = 60
aop = 180
lon = 0
r,v = get_position(M1, M2, ein_0, ain_0, ma, inc, aop, lon, dt_init)
tmp_stars[1].position = r
tmp_stars[1].velocity = v
tmp_stars.move_to_center()
# Outer binary:
r,v = get_position(M1+M2, M3, eout_0, aout_0, 0, 0, 0, 0, dt_init)
tertiary = Particle()
tertiary.mass = M3
tertiary.position = r
tertiary.velocity = v
tmp_stars.add_particle(tertiary)
tmp_stars.move_to_center()
triple.position = tmp_stars.position
triple.velocity = tmp_stars.velocity
Mtriple = triple.mass.sum()
Pout = orbital_period(aout_0, Mtriple)
print "T=", stellar.model_time.in_(units.Myr)
print "M=", stellar.particles.mass.in_(units.MSun)
print "Pout=", Pout.in_(units.Myr)
print 'tK =', ((M1+M2)/M3)*Pout**2*(1-eout_0**2)**1.5/Pin_0
converter = nbody_system.nbody_to_si(triple.mass.sum(), aout_0)
if integrator == 0:
gravity = Hermite(converter)
gravity.parameters.timestep_parameter = 0.01
elif integrator == 1:
gravity = SmallN(converter)
gravity.parameters.timestep_parameter = 0.01
gravity.parameters.full_unperturbed = 0
elif integrator == 2:
gravity = Huayno(converter)
gravity.parameters.inttype_parameter = 20
gravity.parameters.timestep = (1./256)*Pin_0
else:
gravity = symple(converter)
gravity.parameters.integrator = 10
#gravity.parameters.timestep_parameter = 0.
gravity.parameters.timestep = (1./128)*Pin_0
print gravity.parameters
gravity.particles.add_particles(triple)
channel_from_framework_to_gd = triple.new_channel_to(gravity.particles)
channel_from_gd_to_framework = gravity.particles.new_channel_to(triple)
Etot_init = gravity.kinetic_energy + gravity.potential_energy
Etot_prev = Etot_init
gravity.particles.move_to_center()
# Note: time = t_diag = 0 at the start of the dynamical integration.
dt_diag = t_end/float(nsteps)
t_diag = dt_diag
time = 0.0 | t_end.unit
t_se = t_stellar + time
print 't_end =', t_end
print 'dt_diag =', dt_diag
ain, ein, aout, eout = get_orbital_elements_of_triple(triple)
print "Triple elements t=", time, \
"inner:", triple[0].mass, triple[1].mass, ain, ein, \
"outer:", triple[2].mass, aout, eout
t = [time.value_in(units.Myr)]
Mtot = triple.mass.sum()
mtot = [Mtot.value_in(units.MSun)]
smai = [ain/ain_0]
ecci = [ein/ein_0]
smao = [aout/aout_0]
ecco = [eout/eout_0]
if interp:
# Create arrays of stellar times and masses for interpolation.
times = [time]
masses = [triple.mass.copy()]
while time < t_end:
time += dt_se
stellar.evolve_model(t_stellar+time)
channel_from_stellar.copy_attributes(["mass"])
times.append(time)
masses.append(triple.mass.copy())
time = 0.0 | t_end.unit
print '\ntimes:', times, '\n'
# Evolve the system.
def advance_stellar(t_se, dt):
E0 = gravity.kinetic_energy + gravity.potential_energy
t_se += dt
if interp:
t = t_se-t_stellar
i = int(t/dt_se)
mass = masses[i] + (t-times[i])*(masses[i+1]-masses[i])/dt_se
triple.mass = mass
#print 't_se =', t_se, 'masses =', mass
else:
stellar.evolve_model(t_se)
channel_from_stellar.copy_attributes(["mass"])
channel_from_framework_to_gd.copy_attributes(["mass"])
return t_se, gravity.kinetic_energy + gravity.potential_energy - E0
def advance_gravity(tg, dt):
tg += dt
gravity.evolve_model(tg)
channel_from_gd_to_framework.copy()
return tg
while time < t_end:
if scheme == 1:
# Advance to the next diagnostic time.
dE_se = zero
dt = t_diag - time
if dt > 0|dt.unit:
time = advance_gravity(time, dt)
elif scheme == 2:
# Derive dt from Pin using dtse_fac.
dt = dtse_fac*Pin_0
if time + dt > t_diag: dt = t_diag - time
if dt > 0|dt.unit:
t_se, dE_se = advance_stellar(t_se, dt)
time = advance_gravity(time, dt)
elif scheme == 3:
# Derive dt from Pin using dtse_fac.
dt = dtse_fac*Pin_0
if time + dt > t_diag: dt = t_diag - time
if dt > 0|dt.unit:
time = advance_gravity(time, dt)
t_se, dE_se = advance_stellar(t_se, dt)
elif scheme == 4:
# Derive dt from Pin using dtse_fac.
dt = dtse_fac*Pin_0
if time + dt > t_diag: dt = t_diag - time
if dt > 0|dt.unit:
t_se, dE_se = advance_stellar(t_se, 0.5*dt)
time = advance_gravity(time, dt)
t_se, dE_se2 = advance_stellar(t_se, 0.5*dt)
dE_se += dE_se2
elif scheme == 5:
# Use the specified dt_se.
dE_se = zero
dt = dt_se
if time + dt > t_diag: dt = t_diag - time
if dt > 0|dt.unit:
# For use with symple only: set up average mass loss.
channel_from_stellar.copy_attributes(["mass"])
m0 = triple.mass.copy()
stellar.evolve_model(t_se+dt)
channel_from_stellar.copy_attributes(["mass"])
t_se = stellar.model_time
m1 = triple.mass
dmdt = (m1-m0)/dt
for i in range(len(dmdt)):
gravity.set_dmdt(i, dmdt[i])
time = advance_gravity(time, dt)
else:
print 'unknown option'
sys.exit(0)
if time >= t_diag:
t_diag = time + dt_diag
Ekin = gravity.kinetic_energy
Epot = gravity.potential_energy
Etot = Ekin + Epot
dE = Etot_prev - Etot
Mtot = triple.mass.sum()
print "T=", time,
print "M=", Mtot, "(dM[SE]=", Mtot/Mtriple, ")",
print "E= ", Etot, "Q= ", Ekin/Epot,
print "dE=", (Etot_init-Etot)/Etot, "ddE=", (Etot_prev-Etot)/Etot,
print "(dE[SE]=", dE_se/Etot, ")"
Etot_init -= dE
Etot_prev = Etot
ain, ein, aout, eout = get_orbital_elements_of_triple(triple)
print "Triple elements t=", t_stellar + time, \
"inner:", triple[0].mass, triple[1].mass, ain, ein, \
"outer:", triple[2].mass, aout, eout
t.append(time.value_in(units.yr))
mtot.append(Mtot.value_in(units.MSun))
smai.append(ain/ain_0)
ecci.append(ein/ein_0)
smao.append(aout/aout_0)
ecco.append(eout/eout_0)
if eout > 1 or aout <= zero:
print "Binary ionized or merged"
break
gravity.stop()
stellar.stop()
return t, mtot, smai, ecci, smao, ecco
def evolve_triple_with_wind(M1, M2, M3, Pora, Pin_0, ain_0, aout_0,
ein_0, eout_0, t_end, nsteps, scheme, dtse_fac):
import random
from amuse.ext.solarsystem import get_position
print "Initial masses:", M1, M2, M3
t_stellar = 4.0|units.Myr
triple = Particles(3)
triple[0].mass = M1
triple[1].mass = M2
triple[2].mass = M3
stellar = SeBa()
stellar.particles.add_particles(triple)
channel_from_stellar = stellar.particles.new_channel_to(triple)
stellar.evolve_model(t_stellar)
channel_from_stellar.copy_attributes(["mass"])
M1 = triple[0].mass
M2 = triple[1].mass
M3 = triple[2].mass
print "T=", stellar.model_time.in_(units.Myr)
print "M=", stellar.particles.mass.in_(units.MSun)
print "Masses at time T:", M1, M2, M3
# Inner binary
tmp_stars = Particles(2)
tmp_stars[0].mass = M1
tmp_stars[1].mass = M2
if Pora == 1:
ain_0 = semimajor_axis(Pin_0, M1+M2)
else:
Pin_0 = orbital_period(ain_0, M1+M2)
print 'ain_0 =', ain_0
print 'M1+M2 =', M1+M2
print 'Pin_0 =', Pin_0.value_in(units.day), '[day]'
#print 'semi:', semimajor_axis(Pin_0, M1+M2).value_in(units.AU), 'AU'
#print 'period:', orbital_period(ain_0, M1+M2).value_in(units.day), '[day]'
dt = 0.1*Pin_0
ma = 180
inc = 30
aop = 180
lon = 0
r, v = get_position(M1, M2, ein_0, ain_0, ma, inc, aop, lon, dt)
tmp_stars[1].position = r
tmp_stars[1].velocity = v
tmp_stars.move_to_center()
# Outer binary
r, v = get_position(M1+M2, M3, eout_0, aout_0, 0, 0, 0, 0, dt)
tertiary = Particle()
tertiary.mass = M3
tertiary.position = r
tertiary.velocity = v
tmp_stars.add_particle(tertiary)
tmp_stars.move_to_center()
triple.position = tmp_stars.position
triple.velocity = tmp_stars.velocity
Mtriple = triple.mass.sum()
Pout = orbital_period(aout_0, Mtriple)
print "T=", stellar.model_time.in_(units.Myr)
print "M=", stellar.particles.mass.in_(units.MSun)
print "Pout=", Pout.in_(units.Myr)
converter = nbody_system.nbody_to_si(triple.mass.sum(), aout_0)
gravity = Hermite(converter)
gravity.particles.add_particles(triple)
channel_from_framework_to_gd = triple.new_channel_to(gravity.particles)
channel_from_gd_to_framework = gravity.particles.new_channel_to(triple)
Etot_init = gravity.kinetic_energy + gravity.potential_energy
Etot_prev = Etot_init
gravity.particles.move_to_center()
time = 0.0 | t_end.unit
ts = t_stellar + time
ain, ein, aout, eout = get_orbital_elements_of_triple(triple)
print "Triple elements t=", time, \
"inner:", triple[0].mass, triple[1].mass, ain, ein, \
"outer:", triple[2].mass, aout, eout
dt_diag = t_end/float(nsteps)
t_diag = dt_diag
t = [time.value_in(units.Myr)]
smai = [ain/ain_0]
ecci = [ein/ein_0]
smao = [aout/aout_0]
ecco = [eout/eout_0]
ain = ain_0
def advance_stellar(ts, dt):
E0 = gravity.kinetic_energy + gravity.potential_energy
ts += dt
stellar.evolve_model(ts)
channel_from_stellar.copy_attributes(["mass"])
channel_from_framework_to_gd.copy_attributes(["mass"])
return ts, gravity.kinetic_energy + gravity.potential_energy - E0
def advance_gravity(tg, dt):
tg += dt
gravity.evolve_model(tg)
channel_from_gd_to_framework.copy()
return tg
while time < t_end:
Pin = orbital_period(ain, triple[0].mass+triple[1].mass)
dt = dtse_fac*Pin
dt *= random.random()
if scheme == 1:
ts, dE_se = advance_stellar(ts, dt)
time = advance_gravity(time, dt)
elif scheme == 2:
time = advance_gravity(time, dt)
ts, dE_se = advance_stellar(ts, dt)
else:
dE_se = zero
#ts, dE_se = advance_stellar(ts, dt/2)
time = advance_gravity(time, dt)
#ts, dE = advance_stellar(ts, dt/2)
#dE_se += dE
if time >= t_diag:
t_diag = time + dt_diag
Ekin = gravity.kinetic_energy
Epot = gravity.potential_energy
Etot = Ekin + Epot
dE = Etot_prev - Etot
Mtot = triple.mass.sum()
print "T=", time,
print "M=", Mtot, "(dM[SE]=", Mtot/Mtriple, ")",
print "E= ", Etot, "Q= ", Ekin/Epot,
print "dE=", (Etot_init-Etot)/Etot, "ddE=", (Etot_prev-Etot)/Etot,
print "(dE[SE]=", dE_se/Etot, ")"
Etot_init -= dE
Etot_prev = Etot
ain, ein, aout, eout = get_orbital_elements_of_triple(triple)
print "Triple elements t=", (4|units.Myr) + time, \
"inner:", triple[0].mass, triple[1].mass, ain, ein, \
"outer:", triple[2].mass, aout, eout
t.append(time.value_in(units.Myr))
smai.append(ain/ain_0)
ecci.append(ein/ein_0)
smao.append(aout/aout_0)
ecco.append(eout/eout_0)
if eout > 1.0 or aout <= zero:
print "Binary ionized or merged"
break
gravity.stop()
stellar.stop()
return t, smai, ecci, smao, ecco
def evolve_triple_with_wind(M1, M2, M3, Pora, Pin_0, ain_0, aout_0,
ein_0, eout_0, t_end, nsteps, scheme, dtse_fac):
import random
from amuse.ext.solarsystem import get_position
print "Initial masses:", M1, M2, M3
t_stellar = 4.0|units.Myr
triple = Particles(3)
triple[0].mass = M1
triple[1].mass = M2
triple[2].mass = M3
stellar = SeBa()
stellar.particles.add_particles(triple)
channel_from_stellar = stellar.particles.new_channel_to(triple)
stellar.evolve_model(t_stellar)
channel_from_stellar.copy_attributes(["mass"])
M1 = triple[0].mass
M2 = triple[1].mass
M3 = triple[2].mass
print "T=", stellar.model_time.in_(units.Myr)
print "M=", stellar.particles.mass.in_(units.MSun)
print "Masses at time T:", M1, M2, M3
# Inner binary
tmp_stars = Particles(2)
tmp_stars[0].mass = M1
tmp_stars[1].mass = M2
if Pora == 1:
ain_0 = semimajor_axis(Pin_0, M1+M2)
else:
Pin_0 = orbital_period(ain_0, M1+M2)
print 'ain_0 =', ain_0
print 'M1+M2 =', M1+M2
print 'Pin_0 =', Pin_0.value_in(units.day), '[day]'
#print 'semi:', semimajor_axis(Pin_0, M1+M2).value_in(units.AU), 'AU'
#print 'period:', orbital_period(ain_0, M1+M2).value_in(units.day), '[day]'
dt = 0.1*Pin_0
ma = 180
inc = 30
aop = 180
lon = 0
r, v = get_position(M1, M2, ein_0, ain_0, ma, inc, aop, lon, dt)
tmp_stars[1].position = r
tmp_stars[1].velocity = v
tmp_stars.move_to_center()
# Outer binary
r, v = get_position(M1+M2, M3, eout_0, aout_0, 0, 0, 0, 0, dt)
tertiary = Particle()
tertiary.mass = M3
tertiary.position = r
tertiary.velocity = v
tmp_stars.add_particle(tertiary)
tmp_stars.move_to_center()
triple.position = tmp_stars.position
triple.velocity = tmp_stars.velocity
Mtriple = triple.mass.sum()
Pout = orbital_period(aout_0, Mtriple)
print "T=", stellar.model_time.in_(units.Myr)
print "M=", stellar.particles.mass.in_(units.MSun)
print "Pout=", Pout.in_(units.Myr)
converter = nbody_system.nbody_to_si(triple.mass.sum(), aout_0)
gravity = Hermite(converter)
gravity.particles.add_particles(triple)
channel_from_framework_to_gd = triple.new_channel_to(gravity.particles)
channel_from_gd_to_framework = gravity.particles.new_channel_to(triple)
Etot_init = gravity.kinetic_energy + gravity.potential_energy
Etot_prev = Etot_init
gravity.particles.move_to_center()
time = 0.0 | t_end.unit
ts = t_stellar + time
ain, ein, aout, eout = get_orbital_elements_of_triple(triple)
print "Triple elements t=", time, \
"inner:", triple[0].mass, triple[1].mass, ain, ein, \
"outer:", triple[2].mass, aout, eout
dt_diag = t_end/float(nsteps)
t_diag = dt_diag
t = [time.value_in(units.Myr)]
smai = [ain/ain_0]
ecci = [ein/ein_0]
smao = [aout/aout_0]
ecco = [eout/eout_0]
ain = ain_0
def advance_stellar(ts, dt):
E0 = gravity.kinetic_energy + gravity.potential_energy
ts += dt
stellar.evolve_model(ts)
channel_from_stellar.copy_attributes(["mass"])
channel_from_framework_to_gd.copy_attributes(["mass"])
return ts, gravity.kinetic_energy + gravity.potential_energy - E0
def advance_gravity(tg, dt):
tg += dt
gravity.evolve_model(tg)
channel_from_gd_to_framework.copy()
return tg
while time < t_end:
Pin = orbital_period(ain, triple[0].mass+triple[1].mass)
dt = dtse_fac*Pin
dt *= random.random()
if scheme == 1:
ts, dE_se = advance_stellar(ts, dt)
time = advance_gravity(time, dt)
elif scheme == 2:
time = advance_gravity(time, dt)
ts, dE_se = advance_stellar(ts, dt)
else:
dE_se = zero
#ts, dE_se = advance_stellar(ts, dt/2)
time = advance_gravity(time, dt)
#ts, dE = advance_stellar(ts, dt/2)
#dE_se += dE
if time >= t_diag:
t_diag = time + dt_diag
Ekin = gravity.kinetic_energy
Epot = gravity.potential_energy
Etot = Ekin + Epot
dE = Etot_prev - Etot
Mtot = triple.mass.sum()
print "T=", time,
print "M=", Mtot, "(dM[SE]=", Mtot/Mtriple, ")",
print "E= ", Etot, "Q= ", Ekin/Epot,
print "dE=", (Etot_init-Etot)/Etot, "ddE=", (Etot_prev-Etot)/Etot,
print "(dE[SE]=", dE_se/Etot, ")"
Etot_init -= dE
Etot_prev = Etot
ain, ein, aout, eout = get_orbital_elements_of_triple(triple)
print "Triple elements t=", (4|units.Myr) + time, \
"inner:", triple[0].mass, triple[1].mass, ain, ein, \
"outer:", triple[2].mass, aout, eout
t.append(time.value_in(units.Myr))
smai.append(ain/ain_0)
ecci.append(ein/ein_0)
smao.append(aout/aout_0)
ecco.append(eout/eout_0)
if eout > 1.0 or aout <= zero:
print "Binary ionized or merged"
break
gravity.stop()
stellar.stop()
return t, smai, ecci, smao, ecco