Mathematics
Scientific paper
Jun 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993icar..103..301b&link_type=abstract
Icarus (ISSN 0019-1035), vol. 103, no. 2, p. 301-318.
Mathematics
37
Mathematical Models, Orbit Perturbation, Planetary Evolution, Planetary Nebulae, Three Body Problem, Asteroid Capture, Drag, Protoplanets, Resonance, Solar System, Solar Nebula, Resonance, Trapping, Drag, Dissipation, Particles, Orbits, Evolution, Analysis, Numerical Methods, Simulation, Model, Motion, Orbital Elements, Calculations, Capture, Comparison, Three Body Problem, Librations, Corotation, Damping, Eccentricity
Scientific paper
An analytical and numerical study is conducted of the orbital evolution of solid particles in a gas-rich planetary nebula, in the presence of a planetary embryo, for the case of a Stokes drag. The equations of the averaged model for the motion of particles in resonance with the embryo have allowed corotation and libration solutions to be obtained for a wide range of drag coefficient values, thereby clarifying the role played by secular resonances. Effective resonance capture is shown by the numerical simulations for both librations and corotations.
Beauge Christian
Ferraz-Mello Sylvio
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