The high-eccentricity libration theory revisited

Details The high-eccentricity libration theory revisited The high-eccentricity libration theory revisited

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..62..145g&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 62, Issue 2, pp.145-165

Astronomy and Astrophysics

Astronomy

6

Asteroids, Librations, Resonances

Scientific paper

Using the local asymmetric expansion of the disturbing function for the planar elliptic restricted three-body problem up to degree 1 ine 1 we develop a small amplitude libration theory. We review the laws that characterize the mean-motion resonances of asteroids with Jupiter and we obtain other new laws. Special attention is paid to the second forced mode whose equations are reformulated and new consequences of this component are discussed. An analytical expression for the trajectories in the phase space is obtained. The predictions are compared with numerical experiments which confirm the results.

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