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"In Physics, the 'three-body problem' is a classical mechanics problem that deals with predicting the motion of three mutually interacting point masses solely under the influence of gravity. In this problem, three bodies, such as stars, planets, or other celestial objects, are considered, and their positions and velocities at a given time are known. The task is to calculate their motions over time, taking into account the gravitational attraction between each pair of bodies, simultaneously."
"There is no general analytical solution to this problem. While the two-body problem (with only two interacting bodies) can be solved analytically, the addition of a third body introduces complexities that prevent finding a simple, closed-form solution. The behavior of three interacting bodies can be highly unpredictable and chaotic, making it difficult to determine their long-term motions precisely and can lead to drastically different outcomes over time. This is known as 'sensitive dependence on initial conditions', which is one of the hallmarks of chaos theory."
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