Numerical experiments in the 3/1 and nu6 overlapping resonance region

Details Numerical experiments in the 3/1 and nu6 overlapping resonance region Numerical experiments in the 3/1 and nu6 overlapping resonance region

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..56..163f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 56, no. 1-2, p. 163-176.

Astronomy and Astrophysics

Astronomy

3

Eccentric Orbits, Numerical Integration, Orbital Resonances (Celestial Mechanics), Solar Orbits, Jupiter (Planet), Saturn (Planet), Sun

Scientific paper

Numerical experiments of fictitious small bodies with initial eccentricities e = 0.1 have been performed in the overlapping region of the 3/1 mean motion resonance and of the nu6 secular resonance a = 2.48-2.52 AU for different values of the initial inclination i = 16-20 deg. An analysis for the nu6 secular resonance shows that the topology is different from the one found outside the overlapping region: the critical argument for the nu6 resonance in the overlapping region rotates in opposite direction as compared to the pure nu6 region. In the 3/1 resonance region the secular resonance nu5 is dominant, and some secondary secular resonances as nu6 - nu16 and nu5 + nu6 are present.

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