Open Access
2013 Symmetric Reduction and Hamilton-Jacobi Equation of Rigid Spacecraft with a Rotor
Hong Wang
J. Geom. Symmetry Phys. 32: 87-111 (2013). DOI: 10.7546/jgsp-32-2013-87-111

Abstract

In this paper, we consider the rigid spacecraft with an internal rotor as a regular point of reducible regular controlled Hamiltonian (RCH) system. In the cases of coincident and non-coincident centers of buoyancy and gravity, we give explicitly the equations of motion and Hamilton-Jacobi equations of reduced spacecraft-rotor system on the symplectic leaves by calculation in detail, which show the effect on controls in regular symplectic reduction and Hamilton-Jacobi theory respectively.

Citation

Download Citation

Hong Wang. "Symmetric Reduction and Hamilton-Jacobi Equation of Rigid Spacecraft with a Rotor." J. Geom. Symmetry Phys. 32 87 - 111, 2013. https://doi.org/10.7546/jgsp-32-2013-87-111

Information

Published: 2013
First available in Project Euclid: 26 May 2017

zbMATH: 1302.70048
MathSciNet: MR3135431
Digital Object Identifier: 10.7546/jgsp-32-2013-87-111

Rights: Copyright © 2013 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

Back to Top