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On the instability of lagrange solutions in the three-body problem

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Ukrainian Mathematical Journal Aims and scope

Abstract

We consider the relation between the Lyapunov instability of Lagrange equilateral triangle solutions and their orbital instability. We present a theorem on the orbital instability of Lagrange solutions. This theorem is extended to the planarn-body problem.

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References

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Authors
  1. S. P. Sosnitskii
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Sosnitskii, S.P. On the instability of lagrange solutions in the three-body problem. Ukr Math J 48, 1790–1796 (1996). https://doi.org/10.1007/BF02529501

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  • DOI: https://doi.org/10.1007/BF02529501

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