Physics
Scientific paper
Mar 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980kosis..18..191b&link_type=abstract
Kosmicheskie Issledovaniia, vol. 18, Mar.-Apr. 1980, p. 191-206. In Russian.
Physics
2
Center Of Mass, Earth-Moon System, Librational Motion, Motion Stability, Rotating Bodies, Spacecraft Motion, Differential Equations, Elliptical Orbits, Equations Of Motion, Gravitational Effects, Moments Of Inertia, Three Body Problem
Scientific paper
The rotary motion of a spacecraft is analyzed in the case where its center of mass is located at one of the triangular libration points of a system of two bodies rotating along Keplerian elliptic orbits. Canonical equations are derived for the rotary motion of the spacecraft under the influence of gravitational moments generated by the attracting bodies. The steady-state modes of spacecraft motion are identified and their stability is analyzed. The equations of plane rotary spacecraft motion are integrated, and a qualitative interpretation of motions is given for some of the libration points of the three-body problem. Families of periodic spacecraft motions at a triangular libration point are obtained.
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