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For details on L4 and L5, including a fascinating solution in which the equilateral triangle continuously changes size, but stays equilateral, please look at this answer. These and other variants of the triangle pattern work even when none of the masses is ignored. If the three masses are equal, the center of mass equals the geometric center. There are ...


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Most of the questions about collinear orbit stability and stationkeeping and etc can be answered by several papers written by Robert Farquhar on his method of stationkeeping for the 1978 ISEE-3 mission. Search for this topic with his name. His papers are not overly technical, and most anyone with a decent math background can read them for content. ISEE-3 ...


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Periodic orbits about the 3 collinear points in the circular-restricted 3-body problem are Liapunov and orbitally unstable. These collinear points are labelled L1, L2, L3. Each is an unstable equilibrium point in the CR3BP. A spacecraft inserted into any periodic orbit about any of the collinear points will require some real stationkeeping to maintain its ...


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