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Title:
Spin-Orbit Coupling and Chaotic Rotation for Coorbital Bodies in Quasi-circular Orbits
Authors:
Correia, Alexandre C. M.; Robutel, Philippe
Affiliation:
AA(Departamento de Física, I3N, Universidade de Aveiro, Campus de Santiago, 3810-193 Aveiro, Portugal ; Astronomie et Systèmes Dynamiques, IMCCE-CNRS UMR8028, 77 Av. Denfert-Rochereau, F-75014 Paris, France), AB(Astronomie et Systèmes Dynamiques, IMCCE-CNRS UMR8028, 77 Av. Denfert-Rochereau, F-75014 Paris, France)
Publication:
The Astrophysical Journal, Volume 779, Issue 1, article id. 20, 6 pp. (2013). (ApJ Homepage)
Publication Date:
12/2013
Origin:
IOP
Astronomy Keywords:
celestial mechanics, planetary systems, planets and satellites: general
DOI:
10.1088/0004-637X/779/1/20
Bibliographic Code:
2013ApJ...779...20C

Abstract

Coorbital bodies are observed around the Sun sharing their orbits with the planets, but also in some pairs of satellites around Saturn. The existence of coorbital planets around other stars has also been proposed. For close-in planets and satellites, the rotation slowly evolves due to dissipative tidal effects until some kind of equilibrium is reached. When the orbits are nearly circular, the rotation period is believed to always end synchronous with the orbital period. Here we demonstrate that for coorbital bodies in quasi-circular orbits, stable non-synchronous rotation is possible for a wide range of mass ratios and body shapes. We show the existence of an entirely new family of spin-orbit resonances at the frequencies n ± knu/2, where n is the orbital mean motion, nu the orbital libration frequency, and k an integer. In addition, when the natural rotational libration frequency due to the axial asymmetry, sigma, has the same magnitude as nu, the rotation becomes chaotic. Saturn coorbital satellites are synchronous since nu Lt sigma, but coorbital exoplanets may present non-synchronous or chaotic rotation. Our results prove that the spin dynamics of a body cannot be dissociated from its orbital environment. We further anticipate that a similar mechanism may affect the rotation of bodies in any mean-motion resonance.
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