Numerical stability investigation of the Lagrange solutions of an elliptic restricted three-body problem

DOI10.1016/0021-8928(74)90086-0zbMath0334.70005OpenAlexW1972214757MaRDI QIDQ1229106

Andrej G. Sokolsky, Anatoliy P. Markeev

Publication date: 1974

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(74)90086-0

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (1)

Loss of stability in Hamiltonian systems that depend on parameters

Cites Work

• On the stability problem for the Lagrange solutions of the restricted three-body problem
• On the normalization of a Hamiltonian system of linear differential equations with periodic coefficients
• On the stability of triangular libration points in the elliptic restricted three-body problem
• New aspects in the theory of stability of Hamiltonian systems
• Formal stability of Hamiltonian systems
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• On the stability of a nonautonomous hamiltonian system with two degrees of freedom
• Matrix methods in the calculation and analysis of orbits
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