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Unformatted text preview: ) = R sin .t ; 0 . (1) Express in terms of R and . 2. Using the previous solution, assume that the rst particle has mass ve times smaller than the second particle. Describe the motion of each particle relative to the center of mass inertial frame. Relevant reading: chapter 2, sections 2.1-2.2 Further problems (optional) Problem 2.2 about the three-body problem is quite interesting and would encourage you to think about it. In general the 3-body problem is non-integrable, that is there are no know general analytical solution. The described solution is one of the few analytic solutions available. Integrating the equations of motion, as indicated in in Problem 2.4 or 2.5 is also a good practive. Actually, you have the matlab code posted on the course website to easily solve these problems. 1...
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- Winter '10