alexa Regions of nonexistence of invariant tori for spin-orbit models.
Physics

Physics

Journal of Astrophysics & Aerospace Technology

Author(s): Celletti A, MacKay R

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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 nonexistence of rotational invariant tori. We treat both the conservative case and a case including a dissipative effect modeling a tidal torque generated by internal nonrigidity. 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 us to discern the dynamical character of the motion. This article was published in Chaos and referenced in Journal of Astrophysics & Aerospace Technology

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