Normalization algorithms of Hamiltonian near an equilibrium point

DOI10.1007/BF00642349zbMath0724.70017WikidataQ96744436 ScholiaQ96744436MaRDI QIDQ758242

Krzysztof Goździewski, Andrzej J. Maciejewski

Publication date: 1991

Published in: Astrophysics and Space Science (Search for Journal in Brave)

zbMATH Keywords

periodic orbitsHamiltonian systemequilibrium pointrestricted three body problemnonlinear normalizationphotogravitational restricted problem

Mathematics Subject Classification ID

Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Motion of charged particles (78A35)

Related Items (5)

Solutions homoclinic to regular precessions of a symmetric satellite ⋮ Algorithms for normalization of Hamiltonian systems by means of computer algebra ⋮ Non-linear stability in photogravitational non-planar restricted three body problem with oblate smaller primary ⋮ Segregation of stability domains of the Hamilton nonlinear system ⋮ Normalization of Hamiltonian in the generalized photogravitational restricted three body problem with Poynting-Robertson drag

Cites Work

• Unnamed Item
• The stability of the Lagrange triangular point and a theorem of Arnold
• BURRAU'S PROBLEM OF THREE BODIES
• A new algorithm for the Lie transformation
• On the stability of the triangular libration points for the photogravitational circular restricted problem of three bodies when both of the attracting bodies are radiating as well

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