Plane resonant rotations of a satellite moving along an elliptic orbit

Details Plane resonant rotations of a satellite moving along an elliptic orbit Plane resonant rotations of a satellite moving along an elliptic orbit

Jun 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979primm..43..401b&link_type=abstract

Prikladnaia Matematika i Mekhanika, vol. 43, May-June 1979, p. 401-410. In Russian.

Physics

Dynamic Stability, Elliptical Orbits, Resonance, Satellite Orbits, Satellite Rotation, Extremum Values, Numerical Integration, Spacecraft Stability

Scientific paper

In the present paper, Poincare's method is applied to a stability analysis of plane resonant rotations of a satellite in elliptic orbit. It is shown that resonances of the type k:2 (where k is an integer) are defined by the first approximation with respect to a small parameter, while resonances of the k:4 type are defined by the second approximation, and resonances of the k:3 and k:6 type by the third approximation. The influence of the tidal moment on the existence and stability of plane resonant spinning motions is examined.

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