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

Kristian Uldall Kristiansen, M. Vereshchagin, K. Gózdziewski, P.L. Palmer, R.M. Roberts

    Research output: Contribution to journalJournal articleResearchpeer-review


    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
    Pages (from-to)169-190
    Publication statusPublished - 2012


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