Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical Equations of Controlled Rigid Spacecraft with a Rotor   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.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph