Lorentz resonances and the vertical structure of dusty rings - Analytical and numerical results

Details Lorentz resonances and the vertical structure of dusty rings - Analytical and numerical results Lorentz resonances and the vertical structure of dusty rings - Analytical and numerical results

Mar 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992icar...96...65s&link_type=abstract

Icarus (ISSN 0019-1035), vol. 96, March 1992, p. 65-84.

Computer Science

19

Electric Charge, Gas Giant Planets, Interplanetary Dust, Lorentz Force, Planetary Rings, Magnetic Field Configurations, Planetary Magnetic Fields, Vertical Orientation

Scientific paper

The Schaffer and Burns (1987) linear theory of Lorentz resonances (LRs) in planetary rings is extended in order to accurately compute LR locations and to elucidate the nature of grain trajectories within the LR zones. Using the perturbation theory and energy arguments, it is shown that an increase in the inclination or eccentricity of a grain must be accompanied by a shift in the mean orbital radius of the particle. This shift alters the epicyclic frequencies in such a way that the infinite response of the linear resonance theory is suppressed. Chaotic motion is found for the range of charge-to-mass ratios that cause the vertical and horizontal LRs to overlap.

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