- 07-217 Alessandra Celletti, Robert MacKay
- Regions of non-existence of invariant tori for spin-orbit models
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.