Quantitative conditions for the existence of low-order spin-orbit resonances


We consider (p, q)−periodic orbits of a dissipative spin-orbit model, i.e. during q revolutions about the central planet the satellite does p rotations on its own spin-axis. L. Biasco and L. Chierchia in [2] give a sufficient condition for the existence of such orbits for q = 1, 2 and 4. Here we give explicit upper bounds on the eccentricity and, in the case q = 4, also on the dissipation, such that this condition is satisfied.

DOI Code: 10.1285/i15900932v34n2p7

Keywords: Periodic orbits; Celestial Mechanics; Spinorbit resonances; Dissipative systems

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