Other
Scientific paper
Feb 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976azh....53..191t&link_type=abstract
Astronomicheskii Zhurnal, vol. 53, no. 1, 1976, p. 191-197. In Russian.
Other
Axisymmetric Bodies, Circular Orbits, Orbit Calculation, Three Body Problem, Angular Velocity, Celestial Mechanics, Coordinate Transformations, Differential Equations, Elliptic Functions, Equations Of Motion, Libration, Precession, Quadratures
Scientific paper
The author derives some exact solutions of the strict equations which correspond to circular motions of the centers of mass of spherical bodies and the rectilinear motions of the center of mass of an axisymmetric body, accompanied by the regular precession of the axis of the body. For the case when one of the spherical bodies rotates around the other and the axisymmetric body is in rectilinear motion, conditions are determined under which the axisymmetric body (1) travels to infinity in a finite time, (2) travels to infinity in an infinite time, or (3) asymptotically approaches a libration point.
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