Phase Space Of Equilibrium Rotational Dynamics Of Super-earths

Astronomy and Astrophysics – Astronomy

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Scientific paper

We investigate the dynamics of the rotation of exoplanets around several spin-orbit resonant states. We suppose the existence of quadrupole permanent structure of terrestrial-like planets whose translational periods are of the order of a few days. In our model, the dynamics of the equilibrium rotation is dominated by the torque of the central star on the non-spherical shape of the planet. We show analytically the possibility of chaotic rotation of super-Earths with large equatorial prolateness and eccentric orbits (e.g. e>0.1). In more realistic scenarios (i.e., circular orbits and prolateness close to zero), the domains of 2:1, 3:2 and 1:1 states are regular. We use surfaces of section and spectral analyses in order to numerically confirm our analytical results. We focus our attention on the dynamics of GJ 436 b, GJ 1214 b, HAT-P-11 b, CoRoT-7 b, CoRoT-9 b. In this work we also present a model which allow us to quantify the gravitational perturbations of a hypothetical outer planet on the rotation of an inner planet.

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