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planetary movement of three bodies Three-body problem#Restricted_three-body_problem Broucke–Henon–Hadjidemetriou periodic orbits Three-body problem#Restricted three-body problem three celestial bodies problem of three bodies three-body system special-case solutions of the Three-body problem Three-body problem#Constant-pattern solutions third body constant-pattern solutions Third body influence Three-body_problem#Circular_restricted_three-body_problem problem of the three bodies three-body stable three or more objects general three-body problem circular restricted three-body problem three-body problem three moving bodies three-body otherwise intractable problems Three-body problem#Sundman's theorem