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Published online by Cambridge University Press: 07 August 2017
The subject of this paper is a study of a possible orbital evolution for near-Earth asteroids. The investigation is fulfilled in the frame of the restricted circular three body problem. It is based on the calculations of the Jacobi constant. The osculating elements of some real Apollo-Amor-Aten asteroids are used as the starting parameters. The comparison with the results of other authors is given.