Approximate First Integrals of a Galaxy Model |
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| Authors: | Ünal G Gorali G |
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| Institution: | (1) Department of Engineering Sciences, Faculty of Sciences, Istanbul Technical University, 80626 Maslak, Istanbul, Turkey |
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| Abstract: | First-order approximate first integrals (conserved quantities)of a Hamiltonian dynamical system with two degrees of freedomwhich arises in the modeling of central part of a deformed galaxy 1] havebeen obtained based on the approximate Noether symmetries for resonances 1=2, 1=22 and 21=32. Furthermore,KAM curves have been obtained analytically and they have been compared with thenumerical ones on the Poincaré surface of section. |
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| Keywords: | Hamiltonian dynamical systems approximate Noether symmetries resonances Noether's theorem |
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