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two-body problem

   Also found in: Wikipedia 0.02 sec.
two-body problem [′tü ¦bäd·ē ′präb·ləm]
(mechanics)
The problem of predicting the motions of two objects obeying Newton's laws of motion and exerting forces on each other according to some specified law such as Newton's law of gravitation, given their masses and their positions and velocities at some initial time.


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Each of these interactions is considered a two-body problem because it asks how two objects--such as Earth and a spacecraft--behave if the only forces acting on them are each other's gravity.
Physics has a long history of reducing many-body problems to one-or two-body problems in order to find more powerful solutions, and Alder and his colleagues have high hopes of doing it for this one.
 
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