Asteroid motion near the 3:1 resonance

Details Asteroid motion near the 3:1 resonance Asteroid motion near the 3:1 resonance

Aug 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..56..563h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 56, no. 4, p. 563-599.

Astronomy and Astrophysics

Astronomy

27

Asteroids, Celestial Mechanics, Orbital Resonances (Celestial Mechanics), Planetary Orbits, Three Body Problem, Circular Orbits, Elliptical Orbits, Four Body Problem, Hamiltonian Functions, Jupiter (Planet)

Scientific paper

A method is developed to construct a mapping model, valid near the 3:1 asteroid mean motion resonance with Jupiter, in the elliptic restricted three-body problem. The method can be applied to any other resonance of the elliptic problem and also to any other system whose Hamiltonian is expressed as a perturbed Hamiltonian where the unperturbed part is integrable. The method uses the average Hamiltonian near the resonance. It is demonstrated that this mapping has the same fixed points and the same stability character as the averaged Hamiltonian.

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