Solution to the problem of translatory-rotary motion of two axisymmetric gravitating bodies

Details Solution to the problem of translatory-rotary motion of two axisymmetric gravitating bodies Solution to the problem of translatory-rotary motion of two axisymmetric gravitating bodies

Feb 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978mvsmm.......99e&link_type=abstract

Moskovskii Universitet, Vestnik, Seriia I - Matematika, Mekhanika, Jan.-Feb. 1978, p. 99-105. In Russian.

Astronomy and Astrophysics

Astrophysics

Astrophysics, Celestial Mechanics, Gravitational Effects, Rotating Bodies, Translational Motion, Axisymmetric Bodies, Canonical Forms, Double Cusps, Equations Of Motion, Spheroids

Scientific paper

The translatory-rotary motion of two mutually attracting axisymmetric gravitating spheroids is analyzed on the assumption that their interaction obeys Newton's law. The equations of motions are formulated through canonical osculating Delaunay-Andoyer elements. The Gaussian averaging method is used to obtain simplified equations of motion for two gravitating bodies in which ellipsoids of inertia slightly differ from those of a sphere.

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