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How to calculate Earth speed of the Moon induced orbit?
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[QUOTE="jbriggs444, post: 6867145, member: 422467"] OK. So it is the Earth's orbital speed about the Earth-moon barycenter that you are hoping to calculate. Yes indeed. If we knew ##a_\text{moon}## we could solve for ##a_\text{earth}##. Though we do have the pesky problem of finding ##a_\text{moon}## if we attack the problem that way. That is not a correct formula. ##F\ dt = dp##. Force is the rate of transfer of momentum. But that rate is an incremental change, not a final total. It is not equal to ##p## and hence, is not equal to ##mv##. You'd need to integrate ##F \sin \theta\ dt## over one quarter cycle to get one component of the momentum. Not that bad as integrals go. But there are easier approaches. [Exercise for you: Justify the calculation of momentum using that integral] You may want to think about formulas for centrifugal force or centripetal acceleration. Or about the location of the center of mass of the system. [/QUOTE]
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How to calculate Earth speed of the Moon induced orbit?
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