Restricted Three-Body Problem in 3D

initial positions

x

y

z

initial velocities

v

x

v

y

v

z

time

mass of one large body

μ

Explore the restricted three-body problem in three dimensions—a classic problem in celestial mechanics—by varying the initial positions and velocities of a particle moving around two fixed masses, whose masses are

μ

and

1-μ

.