Kirchhoff's equations for the rigid body motion revisited

DOI10.1007/s11012-016-0476-1zbMath1394.70016OpenAlexW2474102253MaRDI QIDQ1696423

Giacomo Caviglia, Angelo Morro

Publication date: 14 February 2018

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-016-0476-1

zbMATH Keywords

conservation lawsrigid body motionKirchhoff's equations

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Cites Work

• Newton-Euler, Lagrange and Kirchhoff formulations of rigid body dynamics: a unified approach
• Dynamics of the Kirchhoff equations. I: Coincident centers of gravity and buoyancy
• On integrability of a heavy rigid body sinking in an ideal fluid
• Stability and drift of underwater vehicle dynamics: mechanical systems with rigid motion symmetry
• Tracking Control for an Ellipsoidal Submarine Driven by Kirchhoff's Laws
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