Mathematics
Scientific paper
Jan 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975jbis...28...38l&link_type=abstract
British Interplanetary Society, Journal, vol. 28, Jan. 1975, p. 38-46.
Mathematics
3
Attitude Stability, Gravitational Effects, Gravity Gradient Satellites, Spacecraft Stability, Angular Momentum, Gyroscopic Stability, Matrices (Mathematics), Torque, Vector Analysis
Scientific paper
The stability properties of gravity gradient stabilized satellites can be improved by introducing a source of constant angular momentum within the satellite. When such a satellite is designed it is important to know all of the earth pointing equilibrium orientations, since the spacecraft may inadvertently capture in an undesired orientation. A special method must then be devised to free the satellite from the trap state. A review of the literature containing solutions to various special cases of the problem of finding equilibria is presented. A method for the determination of the equilibria and stability for the most general case is given, and a numerical example is presented using the method.
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