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The circular restricted four-body problem
Authors:M Michalodimitrakis
Institution:(1) Dept. of Theoretical Mechanics, University of Thessaloniki, Greece
Abstract:By generalizing the restricted three-body problem, we introduce the restricted four-body problem. We present a numerical study of this problem which includes a study of equilibrium points, regions of possible motion and periodic orbits. Our main motivation for introducing this problem is that it can be used as an intermediate step for a systematic exploration of the genral four-body problem. In an analogous way, one may introduce the restrictedN-body problem.
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