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Exact invariants and adiabatic invariants of dynamical system of relative motion
Exact invariants and adiabatic invariantsof dynamical system of relative motion

Keywords: dynamical system of relative motion,perturbation,exact invariant,adiabatic invariant
相对运动
,力学系统,扰动,精确不变量,绝热不变性

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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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