Secular resonances from 2 to 50 AU

Details Secular resonances from 2 to 50 AU Secular resonances from 2 to 50 AU

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991icar...93..316k&link_type=abstract

Icarus (ISSN 0019-1035), vol. 93, Oct. 1991, p. 316-330. Research supported by MURST.

Other

95

Asteroid Belts, Long Term Effects, Orbital Elements, Orbital Resonances (Celestial Mechanics), Perturbation Theory, Gravitational Effects, Planetary Gravitation, Secular Variations, Solar Orbits

Scientific paper

A novel algorithm is presently employed to generalize the second-order and fourth-degree secular perturbation theory of Milani and Knezevic (1990). The location of secular resonances between the precession rates of the longitudes of perihelion and node of a minor body, on the one hand, and on the other the corresponding eigenfrequencies of the secular perturbations of the four outer planets, are all found by these means in the a-e-I proper elements space. A plausible dynamical route is found for the injection of asteroid fragments into planet-crossing orbits, together with the existence of a chaotically affected region where no asteroid is observed. None of the secular resonances considered exists beyond 50 AU.

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