Mapping models for near-conservative systems with applications

Astronomy and Astrophysics – Astronomy

Scientific paper

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Canonical Forms, Hamiltonian Functions, Imaging Techniques, Mapping, Oscillations, Poynting-Robertson Effect, Topology, Aerodynamics, Momentum, Orbital Mechanics, Resonance, Resonant Vibration

Scientific paper

A systematic method is presented to construct a mapping model for a near-conservative system, based on that of Hadjidemetriou for a Hamiltonian system (1). The mapping we constructed preserves the basic features of the actual system. We apply this method to the forced oscillating system and to the 3 : 1 resonant grain motion in the presence of Poynting-Robertson drag.

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