The three body problem with a rigid body: Eulerian equilibria and stability

DOI10.1216/RMJ-2010-40-2-695zbMath1357.70008OpenAlexW1981322610MaRDI QIDQ976564

Juan A. Vera

Publication date: 14 June 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2010-40-2-695

zbMATH Keywords

rigid bodythree body problemEulerian equilibriaEulerian stability

Mathematics Subject Classification ID

Three-body problems (70F07) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Cites Work

• Hamiltonian dynamics of a gyrostat in the \(n\)-body problem: relative equilibria
• Hamiltonian dynamics of a rigid body in a central gravitational field
• Reduction, relative equilibria and potential in the two rigid bodies problem
• Sur le probleme des trois corps solides (on the problem of three rigid bodies)
• ЗйлеровьI рещения задчи о поступательно вращатльном движени трех твердьени трех твердьх тел
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