Periodic solutions are constructed to the problem of a star’s motion inside a layered inhomogeneous rotating elliptical galaxy with a variable mass using the Lyapunov and the small parameter methods. The stability of periodic solutions in the Lyapunov sense is studied.
98.10.+z Stellar dynamics and kinematics
98.52.Eh Elliptical galaxies
Sternberg State Astronomical Institute, Universitetskii pr. 13, Moscow, 119991, Russia