Non-integrability of the three-body problem |
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| Authors: | Andrzej J Maciejewski Maria Przybylska |
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| Institution: | 1.J. Kepler Institute of Astronomy,University of Zielona Góra,Zielona Góra,Poland;2.Institute of Physics,University of Zielona Góra,Zielona Góra,Poland |
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| Abstract: | We consider the planar problem of three bodies which attract mutually with the force proportional to a certain negative integer
power of the distance between the bodies. We show that such generalisation of the gravitational three-body problem is not
integrable in the Liouville sense. |
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| Keywords: | |
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