English

Brouwer's satellite solution redux

Dynamical Systems 2021-11-03 v2

Abstract

Brouwer's solution to the artificial satellite problem is revisited to show that the complete Hamiltonian reduction is rather achieved in the plain Poincar\'e's style, through a single canonical transformation, than using a sequence of partial reductions based on von Zeipel's alternative for dealing with perturbed degenerate Hamiltonian systems.

Cite

@article{arxiv.2009.10665,
  title  = {Brouwer's satellite solution redux},
  author = {Martin Lara},
  journal= {arXiv preprint arXiv:2009.10665},
  year   = {2021}
}

Comments

21 pages, 1 figure, 5 Tables. Typos corrected

R2 v1 2026-06-23T18:43:29.421Z