Steady-state and periodic motions in the gravitational field of a rotating triaxial ellipsoid

Details Steady-state and periodic motions in the gravitational field of a rotating triaxial ellipsoid Steady-state and periodic motions in the gravitational field of a rotating triaxial ellipsoid

Jun 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980primm..44..387z&link_type=abstract

Prikladnaia Matematika i Mekhanika, vol. 44, May-June 1980, p. 387-394. In Russian.

Physics

Ellipsoids, Gravitational Fields, Particle Motion, Rotating Bodies, Steady State, Three Dimensional Motion, Angular Velocity, Orbital Elements, Schwarzschild Metric

Scientific paper

In the present paper, the motion of a material particle in the gravitational field of a rotating triaxial ellipsoid is analyzed under the assumption of a precise commensurability between the angular velocity of the ellipsoid and the mean orbital motion of the particle. Families of Schwarzschild-type periodic solutions are obtained for some low-order commensurabilities and a range of values of a parameter characterizing the shape of the ellipsoid.

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