Some Trajectories of a Point in the Potential of a Fixed Ring and Center
2019, Vol. 15, no. 4, pp. 587-592
Author(s): Sakharov A. V.
The problem of three-dimensional motion of a passively gravitating point in the potential
created by a homogeneous thin fixed ring and a point located in the center of the ring is
considered. Motion of the point allows two first integrals. In the paper equilibrium points and
invariant manifolds of the phase space of the system are found. Motions in them are analyzed.
Bifurcations in the phase plane corresponding to the motion in the equatorial plane are shown.
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