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Three Body Problem in Perspective

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The Three-body Problem from Pythagoras to Hawking

Abstract

The three-body problem is one of the simplest puzzles in nature. It may be stated very simply but the solution can be extremely hard. The formulation of the problem is as follows: Let us introduce three point-like bodies with given mass values, and say that they attract each other by the universal law of gravitation. We assume that the initial positions and velocities are known. Our task is to predict their coordinates and velocities in an arbitrary time in the future or in the past. The problem is simple, but as we have seen in previous chapters, the solution is not. Many famous scientists beginning from Isaac Newton tried to solve this puzzle. For a long time, all attempts failed except in special cases.

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Valtonen, M., Anosova, J., Kholshevnikov, K., Mylläri, A., Orlov, V., Tanikawa, K. (2016). Three Body Problem in Perspective. In: The Three-body Problem from Pythagoras to Hawking. Springer, Cham. https://doi.org/10.1007/978-3-319-22726-9_7

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