Expansion of the disturbing function for high eccentricity and large amplitude of libration

Details Expansion of the disturbing function for high eccentricity and large amplitude of libration Expansion of the disturbing function for high eccentricity and large amplitude of libration

Dec 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..60..387y&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 60, no. 4, p. 387-400

Astronomy and Astrophysics

Astronomy

3

Equations Of Motion, Fourier Analysis, Hamiltonian Functions, Libration, Three Body Problem, Asteroids, Hyperion, Mathematical Models

Scientific paper

Following some ideas, developed by Woltjer (1928), Message (1989), Yokoyama (1988, 1989) and Duriez (1990) an expansion of the disturbing function is given for high values of the eccentricity and large amplitude of libration. The classical expansion can be obtained as a particular case of the present model. Several asteroids with high eccentricity and large amplitude of libration are tested and the results are much better than those obtained from the classical theory.

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