The Hamiltonian dynamics of the two gyrostats problem

DOI10.1023/A:1008375820146zbMath0965.70013OpenAlexW4244913219MaRDI QIDQ1976103

F. Mondéjar, A. Vigueras

Publication date: 1999

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008375820146

zbMATH Keywords

Newton-Euler equationsnon-canonical Hamiltonian structurecentral force fieldnon-canonical Poisson bracketunstable equilibriazeroth-order approximationnull gyrostatic momentumtwo gyrostats

Mathematics Subject Classification ID

Hamilton's equations (70H05) Stability problems in rigid body dynamics (70E50) Motion of the gyroscope (70E05)

Related Items (4)

On Eulerian equilibria in \(K\)-order approximation of the gyrostat in the three-body problem ⋮ Hamiltonian structures of dynamics of a gyrostat in a gravitational field ⋮ On the dynamics of a gyrostat on Lagrangian equilibria in the three body problem ⋮ Hamiltonian dynamics of a gyrostat in the \(n\)-body problem: relative equilibria

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