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A simple mapping for comets in resonance
Authors:J E Chambers
Institution:(1) Department of Astronomy, The University, M13 9PL Manchester, UK;(2) Harvard-Smithsonian Center for Astrophysics, 60 Garden St., 02138 Cambridge, MA, USA
Abstract:The dynamical evolution of a low inclination, intermediate period comet in mean-motion resonance with a giant planet can be described by a simple mapping giving the comet's heliocentric energy and ecliptic longitude at successive aphelia. Provided that the energy oscillations produced by the resonance are not too large, this mapping is linear. When the amplitude of the oscillations is close to the maximum possible within the resonance, the mapping can be improved by adding non-linear terms.
Keywords:Comets  short-period comets  dynamics  mean-motion resonance
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