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Title:
Stellar and planetary Cassini states
Authors:
Correia, Alexandre C. M.
Affiliation:
AA(CIDMA, Departamento de Física, Universidade de Aveiro, Campus de Santiago, 3810-193, Aveiro, Portugal ; ASD, IMCCE-CNRS UMR 8028, Observatoire de Paris, 77 Av. Denfert-Rochereau, 75014, Paris, France)
Publication:
Astronomy & Astrophysics, Volume 582, id.A69, 8 pp. (A&A Homepage)
Publication Date:
10/2015
Origin:
EDP Sciences
Astronomy Keywords:
celestial mechanics, stars: rotation, planet-star interactions, planets and satellites: general
DOI:
10.1051/0004-6361/201525939
Bibliographic Code:
2015A&A...582A..69C

Abstract

Cassini states correspond to equilibria of the spin axis of a body when its orbit is perturbed. They were initially described for satellites, but the spin axis of stars and planets undergoing strong dissipation can also evolve into some equilibria. For small satellites, the rotational angular momentum is usually much smaller than the total angular momentum, so classical methods for finding Cassini states rely on this approximation. Here we present a more general approach, which is valid for the secular quadrupolar non-restricted problem with spin. Our method is still valid when the precession rate and the mutual inclination of the orbits are not constant. Therefore, it can be used to study stars with close-in companions, or planets with heavy satellites, like the Earth-Moon system.
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arXiv e-prints