\(N\)-body spatial parabolic orbits asymptotic to collinear central configurations

DOI10.1016/0022-0396(83)90103-1zbMath0493.70020OpenAlexW1992065981MaRDI QIDQ1168787

Clark Robinson, Donald G. Saari

Publication date: 1983

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90103-1

zbMATH Keywords

isosceles three body probleminfinite spincompletely parabolicdependence on mass ratiosNewtonian N-body problemparabolic orbitscaled position vectors approach limiting central configuration

Mathematics Subject Classification ID

Three-body problems (70F07) (n)-body problems (70F10)

Related Items

Free time minimizers for the three-body problem, Chaotic dynamics near triple collision, Symbolic dynamics in the planar three-body problem, From rotations and inclinations to zero configurational velocity surfaces I. A natural rotating coordinate system, Superhyberbolic expansion, noncollision singularities and symmetry configurations, Chazy-type asymptotics and hyperbolic scattering for the \(n\)-body problem, The manifold structure for collision and for hyperbolic-parabolic orbits in the n-body problem

Cites Work

• Triple collision in the planar isosceles three body problem
• On the manifolds of total collapse orbits and of completely parabolic orbits for the n-body problem
• Triple collision in the collinear three-body problem
• Measure of degenerate relative equilibria. I
• On the role and the properties ofn body central configurations
• Expanding Gravitational Systems
• Invariant manifolds
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