Abstract
The problem under discussion is the restricted circular planar problem of three bodies (probléme restreint). Two bodies (assumed to be point masses and called primaries) revolve around their center of mass in circular orbits under the influence of their mutual gravitational attraction. A third body (attracted by the previous two but not influencing their motion) moves in the plane defined by the two revolving bodies. The problem is to determine the motion of this third body.
The literature often refers to the restricted problem when the primaries move on conic sections and in order to further specify their motion we speak of the circular restricted problem. Conventions,however,are not well established since some authors exclude all noncircular motion of the primaries when speaking about the restricted problem.
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Szebehely, V. (2010). Applications of the Restricted Problem of three Bodies in Space Research. In: Colombo, G. (eds) Modern Questions of Celestial Mechanics. C.I.M.E. Summer Schools, vol 43. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11054-2_5
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