Rigid body with rotors and reduction by stages

DOI10.1142/S0129055X22300060MaRDI QIDQ5889773

Unnamed Author, Marco Castrillón López

Publication date: 27 April 2023

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.11081

zbMATH Keywords

rigid bodyrotorsreduction by stagesLagrange-Poincaré category

Mathematics Subject Classification ID

Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Motion of the gyroscope (70E05) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)

Cites Work

• On the dynamic model and motion planning for a spherical rolling robot actuated by orthogonal internal rotors
• On the equilibria of rigid spacecraft with rotors
• Almost-global tracking for a rigid body with internal rotors
• Dissipation induced instabilities
• Homoclinic solutions and motion chaotization in attitude dynamics of a multi-spin spacecraft
• Lagrangian reduction by stages
• Geometric modeling and local controllability of a spherical mobile robot actuated by an internal pendulum
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