Regions of nonexistence of invariant tori for spin-orbit models

Details Regions of nonexistence of invariant tori for spin-orbit models Regions of nonexistence of invariant tori for spin-orbit models

Dec 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007chaos..17d3119c&link_type=abstract

Chaos, Volume 17, Issue 4, pp. 043119-043119-12 (2007).

Nonlinear Sciences

Chaotic Dynamics

1

Celestial Mechanics, Chaotic Dynamics, Orbit Determination And Improvement

Scientific paper

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.

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