Mapping Models for Near-Conservative Systems with Applications
Abstract
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.
- Publication:
-
Celestial Mechanics and Dynamical Astronomy
- Pub Date:
- December 1994
- DOI:
- 10.1007/BF00692029
- Bibcode:
- 1994CeMDA..60..471Z
- Keywords:
-
- Canonical Forms;
- Hamiltonian Functions;
- Imaging Techniques;
- Mapping;
- Oscillations;
- Poynting-Robertson Effect;
- Topology;
- Aerodynamics;
- Momentum;
- Orbital Mechanics;
- Resonance;
- Resonant Vibration;
- Lunar and Planetary Exploration;
- Mapping;
- dissipative system;
- resonance;
- Poynting-Robterson drag