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arXiv · 1207.2875

Newton-Hooke type symmetry of anisotropic oscillators

P. M. Zhang·P. A. Horvathy·K. Andrzejewski·J. Gonera·P. Kosinski
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Abstract

The rotation-less Newton--Hooke - type symmetry found recently in the Hill problem and instrumental for explaining the center-of-mass decomposition is generalized to an arbitrary anisotropic oscillator in the plane. Conversely, the latter system is shown, by the orbit method, to be the most general one with such a symmetry. Full Newton-Hooke symmetry is recovered in the isotropic case. Star escape from a Galaxy is studied as application.

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P. M. Zhang, P. A. Horvathy, K. Andrzejewski, J. Gonera, P. Kosinski. 2012-07-12. Newton-Hooke type symmetry of anisotropic oscillators. https://doi.org/10.1016/j.aop.2012.11.018

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