Dynamical Equations of Controlled Rigid Spacecraft with a Rotor
Abstract
In this paper, we consider the controlled rigid spacecraft with an internal rotor as a regular point reducible regular controlled Hamiltonian (RCH) system. In the cases of coincident and non-coincident centers of buoyancy and gravity, we first give the regular point reduction and the dynamical vector field of the reduced controlled rigid spacecraft-rotor system, respectively. Then, we derive precisely the geometric constraint conditions of the reduced symplectic form for the dynamical vector field of the regular point reducible controlled spacecraft-rotor system, that is, the two types of Hamilton-Jacobi equation for the reduced controlled spacecraft-rotor system by calculation in detail. These researches reveal the deeply internal relationships of the geometrical structures of phase spaces, the dynamical vector fields and controls of the system.
Cite
@article{arxiv.2005.02221,
title = {Dynamical Equations of Controlled Rigid Spacecraft with a Rotor},
author = {Hong Wang},
journal= {arXiv preprint arXiv:2005.02221},
year = {2020}
}
Comments
26 pages. arXiv admin note: substantial text overlap with arXiv:1305.3457, arXiv:1307.1606, arXiv:1310.3014