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The restricted three-body problem with logarithm potential
Abstract:We present a study of the restricted three body problem with logarithm potential. We discuss equilibria, stability, Hill’s regions of motion and the families of periodic orbits near equilibria. Moreover, we show that equilibria and some periodic orbits continue in the logarithm three body problem.
Keywords:Restricted three-body problem  Logarithm potential  Jacobi integral  Equilibria  Stability  Periodic orbits  Continuation
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