On stability of constant Laplace solutions of the unrestricted three-body problem

DOI10.1016/0021-8928(78)90061-8zbMath0444.70010OpenAlexW1516116121MaRDI QIDQ1144965

V. N. Tkhai

Publication date: 1980

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(78)90061-8

zbMATH Keywords

unrestrictedabsence of third order resonancesconstant Laplace solutionsRouth-Joukowski conditions

Mathematics Subject Classification ID

Three-body problems (70F07) Orbital mechanics (70M20)

Related Items (2)

Oscillation family in weakly coupled identical systems ⋮ A study of the plane unrestricted three-body problem

Cites Work

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• On stability in the presence of several resonances
• Certain stability questions in the presence of resonances
• On stability of autonomous systems with internal resonance
• Stability in the critical case of three pairs of pure imaginary roots in the presence of internal resonance
• On the stability of Laplace's solutions of the unrestricted three body problem

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