Noncollision singularities in the four-body problem
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- by Robert Orrin Shelton PDF
- Trans. Amer. Math. Soc. 249 (1979), 225-259 Request permission
Abstract:
It is shown that if there is a singularity in a solution of the four-body problem which is not a collision then the motion of the bodies near the singularity is nearly one-dimensional. This is established by grouping the bodies into natural clusters and showing the angular momentum of each cluster with respect to its center of mass tends to zero near the singularity. This is related to Sperlingâs proof of von Zeipelâs theorem.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 249 (1979), 225-259
- MSC: Primary 70F10; Secondary 58E05, 58F05
- DOI: https://doi.org/10.1090/S0002-9947-1979-0525672-6
- MathSciNet review: 525672