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from matplotlib import pyplot
from amuse.ic.kingmodel import new_king_model
if __name__ in ('__main__', '__plot__'):
# set up parameters:
N = 100
W0 = 3
Rinit = 50. | units.parsec
timestep = 0.01 | units.Myr
Mcluster = 4.e4 | units.MSun
Rcluster = 0.7 | units.parsec
converter = nbody_system.nbody_to_si(Mcluster,Rcluster)
# create a globular cluster model
particles = new_king_model(N, W0, convert_nbody=converter)
particles.radius = 0.0| units.parsec
cluster = Hermite(converter, parameters=[("epsilon_squared", (0.01 | units.parsec)**2)], channel_type='sockets')
# create the external potential of the Galaxy
galaxy = Agama(converter, type="Dehnen", gamma=1.8, \
rscale=1000.| units.parsec, mass=1.6e10 | units.MSun, channel_type='sockets')
# shift the cluster to an orbit around Galactic center
acc,_,_ = galaxy.get_gravity_at_point(0|units.kpc, Rinit, 0|units.kpc, 0|units.kpc)
vcirc = (-acc * Rinit)**0.5
print("Vcirc=%f km/s" % vcirc.value_in(units.kms))
particles.x += Rinit
particles.vy += vcirc
cluster.particles.add_particles(particles)
# set up bridge; cluster is evolved under influence of the galaxy