Math 485 20 Jan 11 Page 1 of 3 Jan 20 2011 Direction vector mixed product Triple product N body problem 1 calculus 2 Newton sGravitational Law 3 Force Math 485 20 Jan 11 Page 2 of 3 Jan 20 2011 1 is pulling 2 closer to 1 now we have six 2nd order equations Lets use the vector forms and simplify Integral of angular momentum Math 485 20 Jan 11 Page 3 of 3 Jan 20 2011 implies that the position and the motion is always in the plane
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