On the full list of finite-valued solutions of the Euler-Poisson equations having four first integrals

DOI10.1002/MANA.201100136zbMath1281.70013OpenAlexW2005199325MaRDI QIDQ2905238

Aleksandr V. Belyaev

Publication date: 27 August 2012

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100136

zbMATH Keywords

asymptoticssingular foliation

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (2)

On the general solution of the problem of the motion of a heavy rigid body in the Hess case ⋮ On the entire and finite valued solutions of the three-body problem

Cites Work

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• On necessary condition of the existence of the single-valued solutions of the Euler-Poisson equations
• On solutions of the Euler-Poisson equations which are linear combinations of Weierstrass \(\zeta\) and \(\wp\) functions.
• Esistenza e determinazione delle precessioni regolari dinamicamente possibili per un solido pesante asimmetrico
• Integrability and non-integrability in Hamiltonian mechanics

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