The existence of pseudocollisions in the plane

DOI10.1016/0022-0396(91)90110-UzbMath0721.70007OpenAlexW1982873375MaRDI QIDQ2641116

Joseph L. Gerver

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0022-0396(91)90110-u

zbMATH Keywords

symmetrysingularityanalytic solutionsenergy exchangepseudocollisions

Mathematics Subject Classification ID

(n)-body problems (70F10) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Collision of rigid or pseudo-rigid bodies (70F35) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (13)

Poincaré maps and near-collision dynamics for a restricted planar \((n + 1)\)-body problem ⋮ Painlevé's conjecture ⋮ Non-collision singularities in the planar two-center-two-body problem ⋮ Noncollision Singularities: Do Four Bodies Suffice! ⋮ Singularity in the relativistic celestial dynamics ⋮ On the global existence of Bohmian mechanics ⋮ A simple and interesting classical mechanical supertask ⋮ Unnamed Item ⋮ Singularities and Dynamics Aspects of a Particle in a Gravitational Field of a Central Punctual Body Surrounded by a Solid Circular Ring ⋮ On the singularities of the curved $n$-body problem ⋮ Dynamical systems -- past and present ⋮ Collective branch regularization of simultaneous binary collisions in the 3D N-body problem ⋮ Church's thesis meets the \(N\)-body problem

Cites Work

• Unnamed Item
• A possible model for a singularity without collisions in the five body problem
• A global existence theorem for the four body problem of Newtonian mechanics
• Singularities and collisions of Newtonian gravitational systems

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