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On Poincaré's correction to Bruns' theorem
Bulletin of the American Mathematical Society
THE differential equations of motion for the problem of three bodies were first set up by Clairaut, and were published by him with the remark, " Let anyone integrate them who can." Clairaut himself had found ten of the eighteen integrals necessary for the complete solution of the equations, but in despair gave up the hope of finding any more, contenting himself with methods of approximation for those cases which were presented by our solar system, particularly, the motion of the moon. Thedoi:10.1090/s0002-9904-1913-02367-x fatcat:z3lspc2thvbcvbwbncacbbgmr4