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Noncollision singularities: do four bodies suffice? (English) Zbl 1254.70027

Summary: A heuristic model is presented for a solution of the planar Newtonian four-body problem which has a noncollision singularity.

MSC:

70F10 \(n\)-body problems
70F15 Celestial mechanics
70F16 Collisions in celestial mechanics, regularization
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References:

[1] DOI: 10.1016/0022-0396(91)90110-U · Zbl 0721.70007 · doi:10.1016/0022-0396(91)90110-U
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[4] Painlevé. P., Lecons sur la Théorie Analytique des Équations Differéntielles. (1897)
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[6] DOI: 10.1016/0022-0396(77)90100-0 · Zbl 0353.70008 · doi:10.1016/0022-0396(77)90100-0
[7] Von Zeipel H., Ark. Mat. Astro. Fys. 4 (32) pp 1– (1908)
[8] DOI: 10.2307/2946572 · Zbl 0764.70006 · doi:10.2307/2946572
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