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Title: Separatrix crossing in rotation of a body with changing geometry of masses
Authors: Bao, Jinrong
Neishtadt, Anatoly
Keywords: Rigid body dynamics
Adiabatic invariant
Separatrix crossing
Issue Date: 2018
Publisher: © Society for Industrial and Applied Mathematics (SIAM)
Citation: BAO, J. and NEISHTADT, A., 2018. Separatrix crossing in rotation of a body with changing geometry of masses. SIAM Journal on Applied Dynamical Systems, [in press].
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.
Description: This paper is closed access until it is published.
Version: Accepted for publication
URI: https://dspace.lboro.ac.uk/2134/36274
Publisher Link: https://www.siam.org/Publications/Journals/SIAM-Journal-on-Applied-Dynamical-Systems-SIADS
ISSN: 1536-0040
Appears in Collections:Closed Access (Maths)

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