Adiabatic chaos in the spin orbit problem

Details Adiabatic chaos in the spin orbit problem Adiabatic chaos in the spin orbit problem

May 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008cemda.101..203b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 101, Issue 1-2, pp. 203-224

Astronomy and Astrophysics

Astronomy

Spin&Ndash, Orbit Problem, Adiabatic Invariants

Scientific paper

We provide evidences that the angular momentum of a symmetric rigid body in a spin orbit resonance can perform large scale chaotic motions on time scales which increase polynomially with the inverse of the oblateness of the body. This kind of irregular precession appears as soon as the orbit of the center of mass is non-circular and the angular momentum of the body is far from the principal directions with minimum (maximum) moment of inertia. We also provide a quantitative explanation of these facts by using the theory of adiabatic invariants, and we provide numerical applications to the cases of the 1:1 and 1:2 spin orbit resonances.

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