Nonsemisimple 1?1 resonance at an equilibrium
From MaRDI portal
Publication:3945656
DOI10.1007/BF01271688zbMath0485.70025MaRDI QIDQ3945656
Publication date: 1982
Published in: Celestial Mechanics (Search for Journal in Brave)
two degrees-of-freedomnonsemisimple 1:1 resonanceconsecutive canonical transformationscritical mass-ratio of Routhequilibrium point at originnormal form Hamiltoniansplanar restricted three body problemS-N decomposition of linear map
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Three-body problems (70F07) Hamilton's equations (70H05) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)
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Cites Work
- Unnamed Item
- [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]
- ?Sur de nouvelles series pour le probleme de masses critiques de routh dans le probleme restreint plan des trois corps? by J. Roels
- Normal forms for real linear Hamiltonian systems with purely imaginary eigenvalues
- Canonical transformations depending on a small parameter
- [https://portal.mardi4nfdi.de/wiki/Publication:5615964 Normalisation des syst�mes lin�aires canoniques et application au probl�me restreint des trois corps]
- Periodic orbits near ?4 for mass ratios near the critical mass ratio of routh
- LECTURES ON BIFURCATIONS IN VERSAL FAMILIES
- On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems