The mechanics and control for multi-particle systems

DOI10.1088/0305-4470/31/16/013zbMath0907.70019OpenAlexW2077639470MaRDI QIDQ4399735

Toshihiro Iwai

Publication date: 9 March 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/31/16/013

zbMATH Keywords

Riemannian metricLagrangian formalismprincipal fibre bundlenon-holonomic constraintscentre-of-mass systemconserved total angular momentumstructure group \(SO(3)\)

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (9)

The reduction of a quantum system of three identical particles on a plane ⋮ Reduction of quantum systems with symmetry, continuous and discrete ⋮ Swim-like motion of bodies immersed in an ideal fluid ⋮ The falling cat as a port-controlled Hamiltonian system ⋮ Reduction of quantum systems on Riemannian manifolds with symmetry and application to molecular mechanics ⋮ Classical and quantum mechanics of jointed rigid bodies with vanishing total angular momentum ⋮ Twisting Somersault ⋮ Rotational-vibrational energy spectra of triatomic molecules near relative equilibria ⋮ Geometric mechanics of many-body systems

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