Journal article
The two-body problem of a pseudo-rigid body and a rigid sphere
n 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.
Language: | English |
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Publisher: | Springer Netherlands |
Year: | 2012 |
Pages: | 169-190 |
Journal subtitle: | An International Journal of Space Dynamics |
ISSN: | 15729478 and 09232958 |
Types: | Journal article |
DOI: | 10.1007/s10569-011-9390-y |
ORCIDs: | Kristiansen, Kristian Uldall |