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The diver with a rotor

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Publication:344730
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DOI10.1016/j.indag.2016.04.003zbMath1369.70006arXiv1510.02978OpenAlexW3103685467MaRDI QIDQ344730

William Tong, Sudarsh Bharadwaj, Holger R. Dullin, Nathan Duignan, Karen Leung

Publication date: 24 November 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02978


zbMATH Keywords

rigid body dynamicsgeometric phasegyroscopetwisting somersault


Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Kinematics of mechanisms and robots (70B15) Robot dynamics and control of rigid bodies (70E60) Dynamics of multibody systems (70E55) Integrable cases of motion in rigid body dynamics (70E40) Motion of the gyroscope (70E05)


Related Items (3)

A new twisting Somersault: 513XD ⋮ Optimal 3D arm strategies for maximizing twist rotation during somersault of a rigid-body model ⋮ Twisting Somersault



Cites Work

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  • The twisting tennis racket
  • A generalized Montgomery phase formula for rotating self-deforming bodies
  • The rotation number and the herpolhode angle in Euler's top
  • A mechanical system with a ‘‘wild’’ horseshoe
  • The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point


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