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Article overview
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Separatrix crossing in rotation of a body with changing geometry of masses | | Jinrong Bao
; Anatoly Neishtadt
; | | Date: |
14 Dec 2017 | | Abstract: | We consider free rotation of a body whose parts move slowly with respect to
each other under the action of internal forces. This problem can be considered
as a perturbation of the Euler-Poinsot problem. The dynamics has an approximate
conservation law - an adiabatic invariant. This allows to describe the
evolution of rotation in the adiabatic approximation. The evolution leads to an
overturn in the rotation of the body: the vector of angular velocity crosses
the separatrix of the Euler-Poinsot problem. This crossing leads to a
quasi-random scattering in body’s dynamics. We obtain formulas for
probabilities of capture into different domains in the phase space at
separatrix crossings. | | Source: | arXiv, 1712.5357 | | Services: | Forum | Review | PDF | Favorites | |
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