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Integrals of motion in the elliptic three-dimensional restricted three-body problem
Authors:E Sarris
Institution:(1) National Observatory of Athens, Greece
Abstract:Three integrals of motion have been found in the three-dimensional elliptic restricted three-body problem for small eccentricityeprime of the relative orbit of the primaries and small distancer and eccentricitye of the orbit of the third body around a primary. The integrals are given in the form of formal series in the mass-ratio mgr, the eccentricitieseprime, e and the coordinates and velocities. These integrals depend periodically on the time.
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