07-217 Alessandra Celletti, Robert MacKay

Regions of non-existence of invariant tori for spin-orbit models (177K, PDF) Sep 22, 07

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Abstract. The spin-orbit problem in Celestial Mechanics describes the motion of an oblate satellite moving on a Keplerian orbit around a primary body. We apply the conjugate points criterion for the non-existence of rotational invariant tori. We treat both the conservative case and a case including a dissipative effect modeling a tidal torque generated by internal non-rigidity. As a by-product of the conjugate points criterion we obtain a global view of the dynamics, thanks to the introduction of a "tangent orbit indicator", which allows to discern the dynamical character of the motion.

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