Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem (Q1030544)
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scientific article; zbMATH DE number 5574118
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem |
scientific article; zbMATH DE number 5574118 |
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Regularization of simultaneous binary collisions and solutions with singularity in the collinear four-body problem (English)
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2 July 2009
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It is well known that binary collisions are regularizable but general triple collisions are nonregularizable; more precisely, triple collisions can be regularizable in some special, highly symmetrical case. The main goal of this paper is to give a detailed proof of the regularization of the simultaneous binary collisions with respect to time in the case of the collinear four-body problem.
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\(N\)-body problem
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collinear four-body problem
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single binary collision
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simultaneous binary collision
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regularization of singularity
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solution with collisions
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0.9316106
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0.92585987
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0.91239595
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0.91120934
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0.8966872
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0.8949835
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0.8937336
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0.8923154
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