A global existence theorem for the four body problem of Newtonian mechanics
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Publication:1236431
DOI10.1016/0022-0396(77)90100-0zbMath0353.70008OpenAlexW1991966531WikidataQ56805182 ScholiaQ56805182MaRDI QIDQ1236431
Publication date: 1977
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(77)90100-0
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) (n)-body problems (70F10)
Related Items (13)
Non-collision singularities in the planar two-center-two-body problem ⋮ Noncollision Singularities: Do Four Bodies Suffice! ⋮ The existence of pseudocollisions in the plane ⋮ On the global existence of Bohmian mechanics ⋮ A possible model for a singularity without collisions in the five body problem ⋮ Asymptotic velocity for four celestial bodies ⋮ Open problems, questions and challenges in finite- dimensional integrable systems ⋮ Average-case polynomial-time computability of hamiltonian dynamics ⋮ Wintner's collinear and flat solutions are nowhere dense ⋮ Celestial mechanics solutions that escape ⋮ Church's thesis meets the \(N\)-body problem ⋮ On the collisions of an \(N\)-particle system interacting via the Newtonian gravitational potential ⋮ A review of the mean field limits for Vlasov equations
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- Singularities and collisions of Newtonian gravitational systems
- Collisions are of First Category
- Hill regions for the general three-body problem
- Improbability of Collisions in Newtonian Gravitational Systems of Specified Angular Momentum
- Improbability of Collisions in Newtonian Gravitational Systems. II
- On the real singularities of the N-body problem.
- Expanding Gravitational Systems
- Improbability of collisions in Newtonian gravitational systems
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