UKRAINIAN
Astronomical School’s Report, 2009, Volume 6, Issue 1, Pages 118–126
UDC
Periodic orbits inside the self-gravitating inhomogeneous precessing ellipsoid
Tereshchenko A.A.
National Aviation University, Ukraine
Abstract
A model of particle's motion inside a triaxial inhomogeneous ellipsoid having a quadratic density distribution that decreases from center to the ellipsoid's surface is examined. Precession (or inclined rotation) of the ellipsoid is taken into account. Approximate analytical solutions that define the form of periodical orbits are obtained.
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