Normalisation des syst�mes lin�aires canoniques et application au probl�me restreint des trois corps

DOI10.1007/BF01230438zbMath0213.51502OpenAlexW2914934483MaRDI QIDQ5615964

Georges Louterman, Jacques Roels

Publication date: 1970

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01230438

Mathematics Subject Classification ID

Three-body problems (70F07) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (11)

ON THE CONSTRUCTION OF TRANSFORMATIONS OF LINEAR HAMILTONIAN SYSTEMS TO REAL NORMAL FORMS ⋮ Periodic orbits near ?4 for mass ratios near the critical mass ratio of routh ⋮ Canonical forms for symplectic and Hamiltonian matrices ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4082339 Sur de nouvelles s�ries pour le probl�me de masses critiques de Routh dans le probl�me restreint plan des trois corps] ⋮ On the normalization of a Hamiltonian system of linear differential equations with periodic coefficients ⋮ A unifying theory in determining periodic families for Hamiltonian systems at resonance ⋮ On the stability of an autonomous Hamiltonian system with two degrees of freedom in the case of equal frequencies ⋮ On an example of impossibility to build a canonical transformation when the eigenvalues are zero ⋮ Determination of the normal forms of the Hamiltonian matrices ⋮ Nonsemisimple 1?1 resonance at an equilibrium ⋮ Normal forms for real linear Hamiltonian systems with purely imaginary eigenvalues

Cites Work

• New aspects in the theory of stability of Hamiltonian systems
• A transformation to the normal form
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