Secular resonances and chaotic diffusion in the Jupiter Trojan region

Details Secular resonances and chaotic diffusion in the Jupiter Trojan region Secular resonances and chaotic diffusion in the Jupiter Trojan region

Dec 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000dps....32.6528s&link_type=abstract

American Astronomical Society, DPS Meeting #32, #65.28; Bulletin of the American Astronomical Society, Vol. 32, p.1644

Astronomy and Astrophysics

Astronomy

Scientific paper

Dynamical integrations of test bodies in the Jupiter Trojan region reveal a diffusion process which explains the long-term instabilities of this swarm population found by Levison et al. (1997, Nature 385, 42). The diffusion process occurs in a phase space mainly determined by the nodal precession rate of a Trojan. During the diffusion process, a Trojan's nodal rate crosses one or several resonances with Jupiter's nodal rate, i.e. the 1:1 (ν 16), 4:3, 3:2 or 2:1 secular resonance. During resonance crossing, the libration amplitude that is strongly coupled to the nodal rate may become so large that the Trojan enters Jupiter's Hill sphere with subsequent escape from the Trojan region. The diffusion region is filled with secular resonances determined by linear combinations of, mainly, the precessional motion of Jupiter's node and its perihelion, and the precessional motions of the orbit of Uranus and Neptune. More than 30 known Trojans appear to be situated in the diffusion region. Whether or not a boundary value for the nodal rate exists which would correspond to a boundary for the diffusion region, is being investigated. It is clear that the Trojan regions surrounding the Lagrangian points L4 and L5 must be considered as sources which are injecting bodies in the solar system.

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