Periodic oscillations of a satellite in an elliptical orbit plane

Details Periodic oscillations of a satellite in an elliptical orbit plane Periodic oscillations of a satellite in an elliptical orbit plane

Nov 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977kosis..15..809s&link_type=abstract

Kosmicheskie Issledovaniia, vol. 15, Nov.-Dec. 1977, p. 809-834. In Russian.

Mathematics

2

Elliptical Orbits, Equations Of Motion, Orbit Perturbation, Oscillations, Satellite Orbits, Boundary Conditions, Boundary Value Problems, Branching (Mathematics), Differential Equations, Eccentric Orbits, Graphs (Charts), Periodic Variations

Scientific paper

Periodic solutions are obtained for the second order differential equation, describing the motion of a satellite relative to its center of mass in the elliptical orbit plane. For weakly elliptical orbits, a class of periodic solutions is indicated, satisfying simple boundary conditions. Numerical computations are used to extend these solutions into the region of large eccentricities and attention is given to the branching of the solutions obtained.

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