Orbital resonances in the solar nebula - Implications for planetary accretion

Details Orbital resonances in the solar nebula - Implications for planetary accretion Orbital resonances in the solar nebula - Implications for planetary accretion

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985icar...62...16w&link_type=abstract

Icarus (ISSN 0019-1035), vol. 62, April 1985, p. 16-29.

Physics

81

Gravitational Effects, Orbital Resonances (Celestial Mechanics), Planetary Evolution, Planetary Rotation, Protoplanets, Solar Planetary Interactions, Librational Motion, Perturbation Theory, Planetary Mass, Runge-Kutta Method, Solar Orbits, Viscous Drag

Scientific paper

The influence of gas drag and gravitational perturbations by a planetary embryo on the orbit of a planetesimal in the solar nebula was examined. Non-Keplerian rotation of the gas causes secular decay of the orbit. If the planetesimal's orbit is exterior to the perturber's, resonant perturbations oppose this drag and can cause it to be trapped in a stable orbit at a commensurability of order j/(j + 1), where j is an integer. Numerical and analytical demonstrations show that resonant trapping occurs for wide ranges of perturbing mass, planetesimal size, and j. Induced eccentricities are large, causing overlap of orbits for bodies in different resonances with j greater than 2. Collisions between planetesimals in different resonances, or between resonant and nonresonant bodies, result in their disruption. Fragments smaller than a critical size can pass through resonances under the influence of drag and be accreted by the embryo. This effect speeds accretion and tends to prevent dynamical isolation of planetary embryos, making gas-rich scenarios for planetary formation more plausible.

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