A simple mapping for comets in resonance

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Comets, Mapping, Orbit Calculation, Orbital Resonances (Celestial Mechanics), Planetary Orbits, Solar Orbits, Three Body Problem, Jupiter (Planet), Libration, Mathematical Models, Orbital Elements, Saturn (Planet)

Scientific paper

The dynamical evolution of a low inclination, intermediate 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.

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