On the stability of periodic solutions in the problem of the motion of a star inside an elliptical galaxy

Details On the stability of periodic solutions in the problem of the motion of a star inside an elliptical galaxy On the stability of periodic solutions in the problem of the motion of a star inside an elliptical galaxy

Mar 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006astl...32..192g&link_type=abstract

Astronomy Letters, vol. 32, Issue 3, p.192-205

Astronomy and Astrophysics

Astronomy

4

Pacs Numbers 95.10.Ce - 98.10+Z - 98.52.Eh

Scientific paper

The problem of the spatial motion of a star inside an inhomogeneous rotating elliptical galaxy with a homothetic density distribution is considered. Periodic solutions are constructed by the method of a small Poincaré parameter. Linear variational equations with periodic coefficients are used to analyze the Lyapunov stability of these solutions.

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