On the equilibrium figure of close-in planets and satellites

Abstract

Many exoplanets have been observed close to their parent stars with orbital periods of a few days. As for the major satellites of the Jovian planets, the figure of these planets is expected to be strongly shaped by tidal forces. However, contrarily to Solar System satellites, exoplanets may present high values for the obliquity and eccentricity due to planetary perturbations, and may also be captured in spin-orbit resonances different from the synchronous one. Here we give a general formulation of the equilibrium figure of those bodies, that makes no particular assumption on the spin and/or orbital configurations. The gravity field coefficients computed here are well suited for describing the figure evolution of a body whose spin and orbit undergo substantial variations in time.

arXiv comment5 pages, 2 figures

References in corpus (11)

• Tidal friction in close-in satellites and exoplanets. The Darwin theory re-visited
• Probing the Interiors of Very Hot Jupiters Using Transit Light Curves
• Tidally Heated Terrestrial Exoplanets: Viscoelastic Response Models
• Long-term tidal evolution of short-period planets with companions
• Measuring the Oblateness and Rotation of Transiting Extrasolar Giant Planets
• Tidal dissipation within hot Jupiters: a new appraisal
• Secular evolution of a satellite by tidal effect. Application to Triton
• Mercury's capture into the 3/2 spin-orbit resonance including the effect of core-mantle friction
• Spin-orbit coupling for tidally evolving super-Earths
• Impact cratering on Mercury: consequences for the spin evolution
• Long-term evolution of the spin of Mercury I. Effect of the obliquity and core-mantle friction

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