Periodic rotations of a satellite in the plane of an elliptical orbit

Details Periodic rotations of a satellite in the plane of an elliptical orbit Periodic rotations of a satellite in the plane of an elliptical orbit

Mar 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979kosis..17..190s&link_type=abstract

Kosmicheskie Issledovaniia, vol. 17, Mar.-Apr. 1979, p. 190-207. In Russian.

Astronomy and Astrophysics

Astronomy

2

Astrodynamics, Elliptical Orbits, Satellite Orbits, Satellite Rotation, Boundary Conditions, Boundary Value Problems, Celestial Mechanics, Center Of Mass, Differential Equations, Eccentricity, Periodic Functions, Spacecraft Motion, Symmetry

Scientific paper

Periodic rotational solutions to the second-order differential equation describing the motion of a satellite relative to its center of mass in the plane of an elliptical orbit are examined. A class of symmetric periodic solutions that satisfy simple boundary conditions is obtained for the cases of a slightly elliptical orbit and a nearly symmetric satellite. Numerical calculations are used to extend these solutions to large values of orbital eccentricity and the satellite inertial parameter.

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