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As mentioned already, the motion of two bodies can be reduced to a single body problem. In spaceflight, the assumption that your satellite is massless can basically always be made. The distinction is mostly whether you model the motion of your spacecraft as being attracted by one or two bodies. Of course, regardless of whether you are using a single central ...


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Partial answer: And also, is the three-body problem theory only used to solve for periodic orbits around Lagrange points or are there any other implications? The CR3BP or CRTBP or Circular Restricted Three Body Problem assumes circular orbits of two massive bodies around their common center of mass, and a third massless body that responds to their ...


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