Gerver, Joseph L. Noncollision singularities: do four bodies suffice? (English) Zbl 1254.70027 Exp. Math. 12, No. 2, 187-198 (2003). Summary: A heuristic model is presented for a solution of the planar Newtonian four-body problem which has a noncollision singularity. Cited in 2 ReviewsCited in 6 Documents MSC: 70F10 \(n\)-body problems 70F15 Celestial mechanics 70F16 Collisions in celestial mechanics, regularization Keywords:Noncollision singularities; four-body problem; \(n\)-body problem PDFBibTeX XMLCite \textit{J. L. Gerver}, Exp. Math. 12, No. 2, 187--198 (2003; Zbl 1254.70027) Full Text: DOI Euclid References: [1] DOI: 10.1016/0022-0396(91)90110-U · Zbl 0721.70007 · doi:10.1016/0022-0396(91)90110-U [2] Mather J., Lecture Notes in Physics 38 pp 575– (1975) [3] McGehee R., ”A Note on a Theorem of Von Zeipel.” (1984) [4] Painlevé. P., Lecons sur la Théorie Analytique des Équations Differéntielles. (1897) [5] Saari D. G., Arch. Rational Mech. Anal. 49 pp 311– (1972) [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.