From rotations and inclinations to zero configurational velocity surfaces, II. The best possible configurational velocity surfaces

DOI10.1007/BF01235841zbMath0636.70008MaRDI QIDQ3776693

Donald G. Saari

Publication date: 1987

Published in: Celestial Mechanics (Search for Journal in Brave)

zbMATH Keywords

N-body problemnonflat configurationszero-configurational velocity surfaces

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Celestial mechanics (70F15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (5)

An alternative deduction of the Hill-type surfaces of the spatial 3-body problem ⋮ Stability criteria for hierarchical triple systems ⋮ A century-long loop. ⋮ Hill regions of charged three-body systems ⋮ Integral manifolds of the \(N\)-body problem

Cites Work

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• Zero velocity surfaces for the general planar three-body problem
• Topology and mechanics. II: The planar \(n\)-body problem
• Some topology of the three body problem
• From rotations and inclinations to zero configurational velocity surfaces I. A natural rotating coordinate system
• Triple close approach in the three-body problem: A limit for the bounded orbits
• Zero velocity hypersurfaces for the general three-dimensional three-body problem
• Restrictions on the Motion of the Three-Body Problem
• Hill regions for the general three-body problem
• TheN-body problem of celestial mechanics
• Relative equilibria and the virial theorem

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