Mathematics – Dynamical Systems
Scientific paper
Feb 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991icar...89..197s&link_type=abstract
Icarus (ISSN 0019-1035), vol. 89, Feb. 1991, p. 197-219. Research supported by NASA.
Mathematics
Dynamical Systems
18
Astronomical Models, Neptune Satellites, Particle Motion, Planetary Rings, Corotation, Energy Transfer, Equations Of Motion, Momentum Transfer, Perturbation, Neptune, Rings, Dynamics, Ring Arcs, Structure, Corotation, Resonace, Satellites, Particles, Evolution, Energy, Torque, Parameters, Models, Celestial Mechanics, Simulations, Numerical Methods, Lagrange Points, Collisions, Calculations, Equations Of Motion, Perturbations, Angular Momentum, Eccentricity, Theoretical Studies
Scientific paper
After analytically characterizing the response of a test particle to the combined effects of corotation and Lindblad resonances, due to the satellites of Neptune, as two coupled dynamical systems whose coupling depends on the collective effects in the arc, a formula is obtained for the energy imparted by the Lindblad resonance. This energy confines the arc material around the corotation resonance radius. The fact that the gradient of the torque density around the arc must be negative confirms the constraints defined by Lin et al. (1987) on the relative positions of the corotation and the Lindblad resonances if the arc is to be stable. These results are tested with a direct numerical simulation for two different arc configurations.
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