A study of the plane unrestricted three-body problem

DOI10.1016/S0021-8928(96)00046-9zbMath0894.70008MaRDI QIDQ1370941

V. N. Tkhai

Publication date: 13 September 1998

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

zbMATH Keywords

libration pointsHill stabilitylocal analysisLagrange variableshyperbolic-elliptic motionsRouth's equationstwo families of Lyapunov periodic motions

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (3)

Comet- and Hill-type periodic orbits in restricted \((N+1)\)-body problems ⋮ Bifurcations of relative equilibria for one spheroidal and two spherical bodies ⋮ Lagrangian Relative Equilibria in a Modified Three-Body Problem with a Rotationally Symmetric Ellipsoid

Cites Work

• On stability of constant Laplace solutions of the unrestricted three-body problem
• The reversibility of mechanical systems
• Nonlinear oscillations of reversible systems
• Symmetric periodic orbits of the many-body problem. Resonance and parade of planets
• Some problems of the stability of a reversible system with a small parameter
• Hill stability and distance curves for the general three-body problem
• Properties of the moment of inertia in the problem of three bodies
• On the stability of Laplace's solutions of the unrestricted three body problem
• Matrix methods in the calculation and analysis of orbits
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