Discussion on Perturbation to Weak Noether Symmetry and Adiabatic Invariants for Lagrange Systems |
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| Authors: | WANG Peng FANG Jian-Hui WANG Xian-Ming |
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| Affiliation: | School of Math-Physics and Information Science, Xinjiang Normal University, Urumqi 830054College of Physics Science and Technology, China University of Petroleum, Dongying 257061 |
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| Abstract: | We study a new symmetric perturbation, i.e. weakly Noether symmetric perturbation (WNSP). The criterion and definition of WNSP and Noether symmetric perturbation (NSP) are given. A theorem between WNSP and adiabatic invariants is established. It is concluded that WNSP is different from NSP, the sufficient condition when WNSP is NSP can be presented, and theformer is broader. We apply our results to the planar Kepler problem. |
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| Keywords: | 45.20.Jj 02.20.Sv 11.30.-j |
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