Expansion of the disturbing force-function for the study of high-eccentricity librations

Details Expansion of the disturbing force-function for the study of high-eccentricity librations Expansion of the disturbing force-function for the study of high-eccentricity librations

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...183..397f&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 183, no. 2, Sept. 1987, p. 397-402.

Mathematics

20

Asteroids, Eccentric Orbits, Jupiter (Planet), Librational Motion, Resonant Vibration, Functions (Mathematics), Hyperion, Orbit Perturbation, Titan

Scientific paper

The function of the force acting on a resonant asteroid, due to Jupiter, is averaged and expanded about a high-eccentricity libration center. This expansion is suitable to study the motion of high-eccentricity librators as the Hildas (3:2, eav = 0.12 - 0.24) and the Griquas (2:1, eav = 0.36 - 0.48) as well as some planetary satellites in similar conditions, as Hyperion (4:3, eav = 0.1044). The technique used in this expansion follows that introduced by Woltjer in 1928, to study the motion of Hyperion. The actual application to the orbit of the mentioned celestial bodies gives better results than those obtained when using classical expansions.

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