Secular resonances in mean motion commensurabilities - The 2/1 and 3/2 cases

Details Secular resonances in mean motion commensurabilities - The 2/1 and 3/2 cases Secular resonances in mean motion commensurabilities - The 2/1 and 3/2 cases

Apr 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993icar..102..316m&link_type=abstract

Icarus (ISSN 0019-1035), vol. 102, no. 2, p. 316-332.

Physics

73

Asteroids, Orbital Resonances (Celestial Mechanics), Secular Variations, Solar Orbits, Eccentricity, Jupiter (Planet), Asteroids, Resonance, Motion, Commensurability, Dynamics, Perturbations, Orbits, Inclination, Hecuba Gap, Hilda Asteroids, Celestial Mechanics, Eccentricity, Calculations, Numerical Methods, Simulation, Distribution

Scientific paper

The role of secular resonances inside the 2/1 and 3/2 mean motion commensurabilities is examined. The interaction between nu5 and nu6 gives rise to a wide chaotic layer at large eccentricity. Conversely, the nu16 resonance, which pumps up the asteroids's inclination, is present at moderate eccentricity in the 2/1 and at large eccentricity in the 3/2. Thus, the distribution of the asteroids in the Hilda group (3/2 commensurability) is bounded by this secular resonance, which would cross a fictitious family in the 2.1. This provides new clues for a possible expansion of the existence of the Hecuba gap and the Hilda group.

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