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The two-body problem of a pseudo-rigid body and a rigid sphere

Kristiansen, KU, Vereshchagin, M, Goździewski, K, Palmer, PL and Roberts, RM (2012) The two-body problem of a pseudo-rigid body and a rigid sphere Celestial Mechanics and Dynamical Astronomy, 112 (2). pp. 169-190.

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In this paper we consider the two-body problem of a spherical pseudo-rigid body and a rigid sphere. Due to the rotational and “re-labelling” symmetries, the system is shown to possess conservation of angular momentum and circulation. We follow a reduction procedure similar to that undertaken in the study of the two-body problem of a rigid body and a sphere so that the computed reduced non-canonical Hamiltonian takes a similar form. We then consider relative equilibria and show that the notions of locally central and planar equilibria coincide. Finally, we show that Riemann’s theorem on pseudo-rigid bodies has an extension to this system for planar relative equilibria.

Item Type: Article
Divisions : Surrey research (other units)
Authors :
Kristiansen, KU
Vereshchagin, M
Goździewski, K
Date : 2012
DOI : 10.1007/s10569-011-9390-y
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:22
Last Modified : 24 Jan 2020 22:07

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