Attitude equilibria of dual spin satellites subject to gravitational torques of N bodies

Details Attitude equilibria of dual spin satellites subject to gravitational torques of N bodies Attitude equilibria of dual spin satellites subject to gravitational torques of N bodies

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..36..319p&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 36, Aug. 1985, p. 319-347.

Physics

7

Dual Spin Spacecraft, Gravitational Effects, Satellite Attitude Control, Spacecraft Motion, Torque, Equations Of Motion, Gyroscopes, Spacecraft Stability

Scientific paper

The author considers the motion of a dual spin satellite placed in the gravitational field of n material points, assuming that the satellite has no influence on the motion of these points. The main bodies are located at the libration points of the classical n bodies problem. The author investigates the set of relative equilibria of the satellite. As in the elementary case of a gyrostat attracted by a single point, she shows that this problem is equivalent to find the extremum of a quadratic function. She obtains all possible equilibria of the satellite by solving two algebraic equations. Sufficient conditions of stability of these relative equilibria are given.

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