The Libration Points for the Motion of a Star Inside an Elliptical Galaxy

Details The Libration Points for the Motion of a Star Inside an Elliptical Galaxy The Libration Points for the Motion of a Star Inside an Elliptical Galaxy

Oct 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002arep...46..851g&link_type=abstract

Astronomy Reports, Vol. 46, Issue 10, pp. 851-857

Astronomy and Astrophysics

Astronomy

2

Scientific paper

We consider the three-dimensional motion of a star inside an inhomogeneous, rotating, elliptical galaxy with a homothetic density distribution. The libration points inside a triaxial, rotating, inhomogeneous, gravitating ellipsoid are determined and their stability studied. We determine zero-velocity surfaces and regions of possible motion both inside and outside the galaxy. The motions are shown to be stable in the sense given by Hill. The obtained zero-velocity surfaces enable the construction of a Roche model for a galaxy in the form of either a triaxial ellipsoid or an oblate ellipsoid of rotation.

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