Stability of relative equilibria of multidimensional rigid body

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


It is a classical result of Euler that the rotation of a torque-free three-dimensional rigid body about the short or the long axis is stable, whereas the rotation about the middle axis is unstable. This result is generalized to the case of a multidimensional body.

Original languageEnglish (US)
Pages (from-to)1419-1443
Number of pages25
Issue number6
StatePublished - Jun 2014


  • bi-Hamiltonian structures
  • free rigid body
  • multidimensional rigid body
  • stability

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics


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