Andoyer's variables and phases in the free rigid body

DOI10.3934/jgm.2014.6.25zbMath1304.70008OpenAlexW2331058912MaRDI QIDQ2514325

Francisco Javier Molero, Sebastián Ferrer

Publication date: 3 February 2015

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2014.6.25

zbMATH Keywords

dynamical systemsintegrable Hamiltonian systemsfree rigid bodyAndoyer's variablesMontgomery's phase

Mathematics Subject Classification ID

Free motion of a rigid body (70E15)

Related Items (4)

On the \(N\)-extended Euler system: generalized Jacobi elliptic functions ⋮ A note on reparametrizations of the Euler equations ⋮ The triaxiality role in the spin-orbit dynamics of a rigid body ⋮ Parametric quartic Hamiltonian model. A unified treatment of classic integrable systems

Uses Software

• Mathematica

Cites Work

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• Absolute and relative choreographies in rigid body dynamics
• Geometric phases in the motion of rigid bodies
• An elementary derivation of the Montgomery phase formula for the Euler top
• The solid angle theorem in rigid body dynamics
• The Euler-Poinsot top: a non-commutatively integrable system without global action-angle coordinates
• Momentum maps and Hamiltonian reduction
• The rotation number and the herpolhode angle in Euler's top
• Elliptic functions and applications
• Precise and fast computation of a general incomplete elliptic integral of third kind by half and double argument transformations

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