Integrals of motion in the elliptic three-dimensional restricted three-body problem |
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Authors: | E Sarris |
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Institution: | (1) National Observatory of Athens, Greece |
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Abstract: | Three integrals of motion have been found in the three-dimensional elliptic restricted three-body problem for small eccentricitye 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 , the eccentricitiese , e and the coordinates and velocities. These integrals depend periodically on the time. |
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