A note on relative equilibria of a free multidimensional rigid body

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3 Scopus citations

Abstract

It is well known that a rotation of a free generic three-dimensional rigid body is stationary if and only if it is a rotation around one of three principal axes of inertia. As was noted by many authors, the analogous result is true for a multidimensional body: a rotation is stationary if and only if it is a rotation fixing planes spanned by principal axes of inertia, provided that the eigenvalues of the angular velocity matrix are pairwise distinct. However, if some eigenvalues of the angular velocity matrix of a stationary rotation coincide, then it is possible that this rotation has a different nature. A description of such rotations is given in this paper.

Original languageEnglish (US)
Article number325203
JournalJournal of Physics A: Mathematical and Theoretical
Volume45
Issue number32
DOIs
StatePublished - Aug 17 2012
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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