Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982azh....59..147k&link_type=abstract
(Astronomicheskii Zhurnal, vol. 59, Jan.-Feb. 1982, p. 147-154.) Soviet Astronomy, vol. 26, Jan.-Feb. 1982, p. 90-94. Translati
Astronomy and Astrophysics
Astronomy
1
Elliptic Differential Equations, Orbital Mechanics, Resonance, Satellite Orbits, Satellite Rotation, Three Body Problem, Astrodynamics, Celestial Mechanics, Cislunar Space, Earth-Moon System, Ellipsoids, Librational Motion
Scientific paper
Several resonance phenomena in the dynamics of the relative motion of a satellite in the elliptical, restricted, three-body problem are considered. First-order asymptotic approximations are constructed for plane rotations of the satellite under the assumption that its ellipsoid of inertia is close to a sphere while the center of mass of the satellite moves along an arbitrary conditionally periodic orbit of the three-body problem. Several resonance rotations of a satellite near libration points and in large halo orbits in the earth-moon system are analyzed as examples.
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