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arXiv · 1103.6261

Poisson Structures for Aristotelian Model of Three Body Motion

E. Abadoğlu·H. Gümral
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Abstract

We present explicitly Poisson structures, for both time-dependent and time-independent Hamiltonians, of a dynamical system with three degrees of freedom introduced and studied by Calogero et al [2005]. For the time-independent case, new constant of motion includes all parameters of the system. This extends the result of Calogero et al [2009] for semi-symmetrical motion. We also discuss the case of three bodies two of which are not interacting with each other but are coupled with the interaction of third one.

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E. Abadoğlu, H. Gümral. 2011-03-31. Poisson Structures for Aristotelian Model of Three Body Motion. https://doi.org/10.1088/1751-8113/44/32/325204

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