Libration points and the general case in the problem of the motion of a star inside a layered inhomogeneous elliptical galaxy with a variable mass

Details Libration points and the general case in the problem of the motion of a star inside a layered inhomogeneous elliptical galaxy with a variable mass Libration points and the general case in the problem of the motion of a star inside a layered inhomogeneous elliptical galaxy with a variable mass

Mar 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008astl...34..179g&link_type=abstract

Astronomy Letters, Volume 34, Issue 3, pp.179-188

Astronomy and Astrophysics

Astronomy

3

Scientific paper

We have found libration points and investigated their Lyapunov stability in the problem of the motion of a star inside a layered inhomogeneous rotating elliptical galaxy with a variable mass. We have constructed the surfaces of zero velocity and obtained stability conditions for unsteady motion in the first approximation. We analyze general case where the densities of the galactic nucleus and layers vary with time according to different laws.

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