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The three-body problem is a classic problem in celestial mechanics that involves predicting the motion of three celestial bodies under the influence of gravity. The problem is notoriously difficult because it does not have a closed-form analytical solution and requires numerical methods to solve. To understand the three-body problem, let us consider three point masses A, B, and C that are mutually attracted to each other by gravity. The gravitational force between two masses is given by the form
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