Mathematics
Scientific paper
Jan 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989kosis..27..144e&link_type=abstract
Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 27, Jan.-Feb. 1989, p. 144-146. In Russian.
Mathematics
Celestial Mechanics, Center Of Mass, Gyroscopes, Satellite Rotation, Spacecraft Motion, Equations Of Motion, Gravitational Effects, Libration, Transformations (Mathematics)
Scientific paper
Consideration is given to a problem in which the center of mass of a gyrostatic satellite M is located at the L4 triangular libration point of the gravitating bodies M sub 0 and M sub 1, which move with respect to a common center of mass in circular Keplerian orbits. The mass of M is considered to be negligibly small compared with the masses of M sub 0 and M sub 1, and the dimensions of M are considered to be negligibly small compared with the distance between M sub 0 and M sub 1. The periodic motions of the gryostat under the effect of the gravitational moments produced by M sub 0 and M sub 1 are analyzed on the basis of equations of rotational motion in dimensionless Andoyer variables.
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