| Three-body Problem |
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The ''n''-body problem is the problem of finding, given the initial positions, masses, and velocities of ''n'' bodies, their subsequent motions as determined by Classical Mechanics , i.e., Newton's Laws Of Motion and Newton's Law Of Gravity . MATHEMATICAL FORMULATION The general ''n''-body problem can be stated in the following way. For each body ''i'', with mass ''m''''i'', let ''c''''i''(''t'') be its Trajectory in 3-dimensional space, where the parameter ''t'' is interpreted as time. Then the acceleration ''c''''(''t'') of each mass ''m''''i'' satisfies by the law of gravity: : |
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