Problem of the motion of an ideal fluid body in the gravitational field of N fixed centers

Details Problem of the motion of an ideal fluid body in the gravitational field of N fixed centers Problem of the motion of an ideal fluid body in the gravitational field of N fixed centers

Dec 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980mvsmm.......99d&link_type=abstract

Moskovskii Universitet, Vestnik, Seriia I - Matematika, Mekhanika, Nov.-Dec. 1980, p. 99-103. In Russian.

Computer Science

Celestial Bodies, Celestial Mechanics, Gravitational Fields, Ideal Fluids, Incompressible Fluids, Approximation, Center Of Mass, Circular Orbits, Ellipsoids

Scientific paper

The problem of the motion of an ideal fluid body in the gravitational field of n fixed centers is formulated in the first approximation. The existence of the relative equilibrium of a homogeneous ellipsoid in the gravitational field is proved in the case when the center of mass of the body moves on a circular orbit. For this solution, the attracting centers are situated on an axis passing through the center of the circular orbit normal to its plane.

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