A systematic exploration of three-dimensional asteroidal motion at the 2/1 resonance

Details A systematic exploration of three-dimensional asteroidal motion at the 2/1 resonance A systematic exploration of three-dimensional asteroidal motion at the 2/1 resonance

Jul 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...111..346f&link_type=abstract

Astronomy and Astrophysics, vol. 111, no. 2, July 1982, p. 346-356. Research supported by the Deutsche Forschungsgemeinschaft a

Astronomy and Astrophysics

Astrophysics

28

Asteroids, Orbital Mechanics, Solar Orbits, Three Dimensional Motion, Astronomical Models, Hamiltonian Functions, Orbit Perturbation, Orbital Elements, Resonance

Scientific paper

Using Schubart's three-dimensional averaging model, we calculated 96 orbits at the 2/1 Kirkwood gap over 17,000 years. A classification of the orbits with respect to the behaviour of ω and ω∼ yields 5 classes out of which 3 classes have real representatives among the known asteroids. All the orbits are stable in Hill's sense. Three major mechanisms determine orbital stability: σ-libration, e-ω phase coupling and ω-libration. The behaviour of the orbits is interpreted on the basis of results obtained in the planar case.

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