Stability of Satellites in Spin-Orbit Resonances and Capture Probabilities
The stability of satellites in spin-orbit resonances is investigated in the light of perturbation theory. By means of KAM theory we construct invariant surfaces trapping the periodic orbit associated to the resonance in a finite region of the phase space. In the last part of the work we study the probability of capture in a resonance, providing an explicit application to Mercury.
KeywordsSpin-orbit resonance KAM theory Capture probability
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