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arXiv:1307.1606 [math.DS]AbstractReferencesReviewsResources

Symmetric Reduction and Hamilton-Jacobi Equation of Rigid Spacecraft with a Rotor

Hong Wang

Published 2013-07-05, updated 2014-01-01Version 3

In this paper, we consider the 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 give explicitly the motion equation and Hamilton-Jacobi equation of reduced spacecraft-rotor system on a symplectic leaf by calculation in detail, respectively, which show the effect on controls in regular symplectic reduction and Hamilton-Jacobi theory.

Comments: 21 pages. Revised some printed wrongs in section 4. arXiv admin note: substantial text overlap with arXiv:1305.3457, arXiv:1303.5840, arXiv:1202.3564
Journal: J. Geom. Symm. Phys., 32 (2013), 87-111
Categories: math.DS, math.SG
Subjects: 70H33, 70H20, 70Q05
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