On motions asymptotic to triangular points of libration of the restricted circular three-body problem

DOI10.1016/0021-8928(87)90099-2zbMath0653.70012OpenAlexW2014699217MaRDI QIDQ1108082

G. A. Shcherbina, Anatoliy P. Markeev

Publication date: 1987

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(87)90099-2

zbMATH Keywords

first approximationequilibrium positionsautonomous Hamiltonian systemplane circular restricted three-body problemtriangular points of libration

Mathematics Subject Classification ID

Three-body problems (70F07) Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (3)

Solutions homoclinic to regular precessions of a symmetric satellite ⋮ Resonances and asymptotic trajectories in Hamiltonian systems ⋮ Asymptotic solutions of Hamiltonian systems with first-order resonance

Cites Work

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• Über singuläre Punkte gewöhnlicher Differentialgleichungen
• Two notes on the copenhagen problem
• Некоторые асимптотические решения в ограниченной задаче трех тел
• A study of asymptotic solutions in the vicinity of the collinear libration points of the restricted three-body problem
• [https://portal.mardi4nfdi.de/wiki/Publication:5675367 Proof of a conjecture of E. Str�mgren]

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