Exact invariants and adiabatic invariants of dynamical system of relative motion |
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| Authors: | Chen Xiang-Wei Wang Xin-Min Wang Ming-Quan |
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| Affiliation: | Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China |
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| Abstract: | ![]()
Based on the theory of symmetries and conserved quantities, the exact invariants and adiabatic invariants of a dynamical system of relative motion are studied. The perturbation to symmetries for the dynamical system of relative motion under small excitation is discussed. The concept of high-order adiabatic invariant is presented, and the form of exact invariants and adiabatic invariants as well as the conditions for their existence are given. Then the corresponding inverse problem is studied. |
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| Keywords: | dynamical system of relative motion perturbation exact invariant adiabatic invariant |
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