Precession dynamics in spin-orbit coupling - A unified theory

Details Precession dynamics in spin-orbit coupling - A unified theory Precession dynamics in spin-orbit coupling - A unified theory

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..32..355b&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 32, April 1984, p. 355-364.

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Astrodynamics, Celestial Mechanics, Gravitational Effects, Satellite Orbits, Spin-Orbit Interactions, Earth-Moon System, Oblate Spheroids, Precession, Rotating Bodies, Spheres

Scientific paper

Equations are developed for the secular motions of the node and pericenter referred to the invariant plane in a two-body problem when one is a sphere and the other a spinning asymmetrical rigid body (e. g., Sun-planet system, or point satellite-planet system). Oblateness precession of satellite orbits and equinoctial precession of planets are shown to be merely opposite extreme cases of the single phenomenon of precession in spin-orbit coupling, in which the determining parameter is the ratio of orbital to spin angular momentum (h0/hs). The "critical" inclination for apsidal motion also depends on this ratio, varying from 63.43° in the one extreme when (h0/hs) very low 1, to 90° in the opposite extreme when (h0/hs) very large 1. Application is made to the Earth-Sun-Moon system.

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