The long-term evolution of orbits in the solar system - A mapping approach

Details The long-term evolution of orbits in the solar system - A mapping approach The long-term evolution of orbits in the solar system - A mapping approach

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989icar...82..402d&link_type=abstract

Icarus (ISSN 0019-1035), vol. 82, Dec. 1989, p. 402-418. Research supported by NSERC and University of Toronto.

Other

93

Orbit Perturbation, Planetary Mapping, Planetary Orbits, Solar System, Three Body Problem, Approximation, Celestial Mechanics, Eccentric Orbits, Orbital Elements, Planetary Evolution

Scientific paper

Wisdom's (1983) indication that initially circular test particle orbits can become chaotic when the planet/sun mass ratio mu is less than about mu exp 2/7 is presently confirmed by a mapping which approximates the restricted sun/planet/test-particle circular three-body problem, when test particle eccentricity is small and the semimajor axis is close to that of the planet. Upon generalization of the map to include perturbations from two nearby planets, the evolution of initially circular test particle orbits in the solar system is modeled. Many orbits between Uranus and Neptune, and most orbits between Jupiter and Saturn, become planet-crossing within the solar system's 4.5-Gyr age; by contrast, most other Saturn-Uranus, Venus-earth, and asteroid belt orbits remain stable in this time-scale.

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