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Geometric reduction of the three-body problem. (English) Zbl 1332.70013
Summary: W.-Y. Hsiang and E. Straume have treated the kinematic geometry of the three-body problem in [Lobachevskii J. Math. 25, 9–130 (2007; Zbl 1118.53011)], using a particular set of geometric invariants for three-body motions. The corresponding reduced equations of motion were however not present, except in the special case of zero angular momentum. This article extends the paper cited above by providing the reduced equations of motion in the general case.

MSC:
70F07 Three-body problems
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References:
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