Birkhoff-Gustavson Normal Form

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A canonical coordinate transformation near a Hamiltonian equilibrium that puts the Hamiltonian into a normal form containing only resonant terms.

Application Value

The Birkhoff-Gustavson Normal Form reduces the Hamiltonian to a normal form containing only resonant terms, serving as an important tool for analyzing near-resonance dynamical systems and helping understand resonance behavior near libration point orbits.

References

  • Gómez et al. 2001, Ch.2
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Contributors: ouyangjiahong, Ou Yang Jiahong