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

Publication: Research - peer-reviewJournal article – Annual report year: 2012

View graph of relations

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.
Original languageEnglish
JournalCelestial Mechanics and Dynamical Astronomy
Publication date2012
Volume112
Pages169-190
ISSN0923-2958
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 0
Download as:
Download as PDF
Select render style:
APAAuthorCBEHarvardMLAStandardVancouverShortLong
PDF
Download as HTML
Select render style:
APAAuthorCBEHarvardMLAStandardVancouverShortLong
HTML
Download as Word
Select render style:
APAAuthorCBEHarvardMLAStandardVancouverShortLong
Word

ID: 51175697