The very-high-eccentricity asymmetric expansion of the disturbing function near resonances of any order

Details The very-high-eccentricity asymmetric expansion of the disturbing function near resonances of any order The very-high-eccentricity asymmetric expansion of the disturbing function near resonances of any order

Nov 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989a%26a...225..541f&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 225, no. 2, Nov. 1989, p. 541-547.

Astronomy and Astrophysics

Astrophysics

34

Asteroids, Disturbing Functions, Eccentric Orbits, Orbital Resonances (Celestial Mechanics), Two Body Problem, Jupiter (Planet), Lagrangian Equilibrium Points

Scientific paper

The potential of the force acting on a resonant asteroid, due to Jupiter, is averaged about a libration center. This expansion is suitable to study the motion of very-high-eccentricity librators as the Griquas (2:1, e = 0.3 - 0.5) and the Alindas (3:1, e = 0.5 - 0.7). The technique used follows one introduced by Woltjer in 1928 and reconsidered by Ferraz-Mello in 1987. In this paper it is extended to resonances of higher-orders and is valid for elliptic motions of any eccentricity.

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