Other
Scientific paper
Mar 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975kosis..13..139m&link_type=abstract
Kosmicheskie Issledovaniia, vol. 13, Mar.-Apr. 1975, p. 139-146. In Russian.
Other
1
Circular Orbits, Satellite Orbits, Satellite Rotation, Spacecraft Stability, Gravitational Fields, Hamiltonian Functions, Liapunov Functions, Orbital Elements
Scientific paper
The motion of a satellite about its center of mass in a Newtonian central gravitational field is examined. It is assumed that the orbit of the center of mass is circular and that the satellite may be treated as a solid body. The inertial-parameter space of the satellite is shown to contain two regions in which the relative equilibrium of the satellite in an orbital system of coordinates is stable in linear approximation. The sufficient stability conditions are satisfied in one of the regions. For the other region (where only the stability in linear approximation is known), the formal stability and the Liapunov instability are determined as a function of the parameter values.
Markeev Anatoliy P.
Sokolskii A. G.
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