Analytical and numerical results on the stability of a planetary precessional model

Details Analytical and numerical results on the stability of a planetary precessional model Analytical and numerical results on the stability of a planetary precessional model

Oct 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cemda..75..103d&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 75, Issue 2, p. 103-124 (1999).

Astronomy and Astrophysics

Astronomy

1

Planetary Precession, Stability Estimates, Spin-Orbit Resonances, Planetary Precession, Stability Estimates, Spin-Orbit Resonances

Scientific paper

A model for planetary precession is investigated using analytical and numerical techniques. A Hamiltonian function governing the model is derived in terms of action-angle Andoyer-Déprit variables under the assumption of equatorial symmetry. As a first approximation a simplified Hamiltonian with zero-eccentricity is considered and stability estimates are derived using KAM theory. A validation of the analytical results is performed computing Poincaré surfaces of section for the circular and elliptical model. We also investigate the role of the eccentricity and its connection with the appearance of resonances. Special attention is devoted to the particular case of the Earth-Moon system.

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