Mapping for 5/2 asteroidal commensurability

Details Mapping for 5/2 asteroidal commensurability Mapping for 5/2 asteroidal commensurability

Mar 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986baicz..37...65s&link_type=abstract

Astronomical Institutes of Czechoslovakia, Bulletin (ISSN 0004-6248), vol. 37, March 1986, p. 65-80.

Mathematics

33

Asteroids, Astronomical Maps, Celestial Mechanics, Jupiter (Planet), Orbital Elements, Collisions, Eccentricity, Hamiltonian Functions, Orbit Calculation, Orbit Perturbation, Resonance, Secular Variations, Transformations (Mathematics)

Scientific paper

The method of Wisdom (1982) is applied to the 5/2 commensurability Kirkwood gap. The secular and resonant Hamiltonian is analyzed, and the algebraic mapping for the planar problem is addressed. For this case, the calculations strongly support the collisional hypothesis for the origin of the Kirkwood gaps. The values of the mapping constants are determined, and the mapping is used to recalculate Scholl's and Froeschle's (1975) results for much longer time intervals. A suggestion is made for improving the order of eccentricity. The complete three-dimensional mapping is given.

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