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Symmetric Reduction and Hamilton-Jacobi Equation of Rigid Spacecraft with a Rotor
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.Comment: 21 pages. Revised some printed wrongs in section 4. arXiv admin note:
substantial text overlap with arXiv:1305.3457, arXiv:1303.5840,
arXiv:1202.356
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