Oscillations of a satellite in the elliptical-orbit plane

Details Oscillations of a satellite in the elliptical-orbit plane Oscillations of a satellite in the elliptical-orbit plane

Sep 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981kosis..19..674z&link_type=abstract

Kosmicheskie Issledovaniia, vol. 19, Sept.-Oct. 1981, p. 674-679. In Russian.

Physics

1

Elliptical Orbits, Orbit Calculation, Satellite Orbits, Satellite Perturbation, Oscillations, Periodic Functions, Uniqueness Theorem

Scientific paper

A qualitative analysis of the two-dimensional oscillations of a satellite in an elliptical orbit is presented. The uniqueness condition of the 2pi-periodic solutions is obtained, and their bilateral estimates are found. In addition, stability conditions are established for the periodic oscillations of a satellite relative to its radius vector along with stability conditions for Mercury-type rotations.

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