Near Resonance Theorem

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A theory extending the Liouville and Hartman theorems to near-resonance cases, proving the existence of central manifolds and their interaction with stable and unstable manifolds.

Application Value

The Near Resonance Theorem extends the Liouville and Hartman theorems to near-resonance cases, proving the existence of central manifolds and their interaction with stable and unstable manifolds. It provides theoretical foundation for understanding near-resonance dynamics.

References

  • Marchal - 1990 - The three-body problem
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Contributors: ouyangjiahong, Ou Yang Jiahong