Approximate Noether symmetries |
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| Institution: | 1. Applied Biotechnology and Engineering Laboratory, Department of Electrical Engineering, Higher Technical Teachers, Training College (HTTTC) of EBOLOWA, University of Yaounde I. P.O. Box 886 EBOLOWA, Cameroon;2. Laboratory of Electronics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812 Yaounde, Cameroon;3. Department of Physics, Islamic University of Gaza, P.O.Box 108 Gaza city, Palestine;4. Higher Teacher Training College of Yaounde, University of Yaounde I P.O. Box 47 Yaounde, Cameroon |
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| Abstract: | We present a theory of approximate Noether symmetries, based on the concept of approximate infinitesimal point transformations. The theory is applied to the first-order perturbations of the orbit equations corresponding to Kepler's law and Hooke's law. The effect of the perturbations on the orbits are then discussed. |
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