Solar nebula dispersal and the stability of the planetary system. I - Scanning secular resonance theory

Mathematics

Scientific paper

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Many Body Problem, Orbital Mechanics, Secular Variations, Solar Corona, Solar System, Two Body Problem, Eccentric Orbits, Equations Of Motion, Gravitational Fields, Matrices (Mathematics), Orbit Perturbation

Scientific paper

Secular resonances in the early solar system are investigated with the aim of establishing constraints on the time scale and method of solar nebula dispersal. Simplified nebula models and dispersal routines are used to approximate changes in an assumed axisymmetric nebula potential. These changes drive an evolutionary sequence of Laplace-Lagrange solutions for the secular variations of the solar system. These sequences are characterized by a sweep of one or more giant planet resonances through the inner solar system. Their effect is rate-dependent; characteristic dispersal times of not greater than 10,000 to 100,000 years are required to avoid the generation of terrestrial eccentricities and inclinations in excess of observed values.

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