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The restricted three-body problem with logarithm potential

A. -m. Muscas,D. Pasca,C. Stoica

NEW ASTRONOMY（2024）

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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.
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Key words
Restricted three-body problem,Logarithm potential,Jacobi integral,Equilibria,Stability,Periodic orbits,Continuation
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