An Integrable Model for the Dynamics of Planetary Mean Motion Resonances

@article{Hadden2019AnIM,
  title={An Integrable Model for the Dynamics of Planetary Mean Motion Resonances},
  author={S. Hadden},
  journal={arXiv: Earth and Planetary Astrophysics},
  year={2019}
}
  • S. Hadden
  • Published 2019
  • Physics
  • arXiv: Earth and Planetary Astrophysics
I consider the dynamics of mean motion resonances between pairs of co-planar planets and derive a new integrable Hamiltonian model for planets' resonant motion. The new model generalizes previously-derived integrable Hamiltonians for first-order resonances to treat higher-order resonances by exploiting a surprising near-symmetry of the full, non-integrable Hamiltonians of higher-order resonances. Whereas past works have frequently relied on truncated disturbing function expansions to derive… Expand
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