Brouwer's satellite solution redux

Abstract

Brouwer's solution to the artificial satellite problem is revisited to show that the complete Hamiltonian reduction is rather achieved in the plain Poincaré'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.

21 pages, 1 figure, 5 Tables. Typos corrected

References in corpus (2)

• Solution to the main problem of the artificial satellite by reverse normalization
• A new radial, natural, higher order intermediary of the main problem four decades after the elimination of the parallax

Cited by in corpus (2)

• Note on the analytical integration of circumterrestrial orbits
• A torsion-based solution to the hyperbolic regime of the J2-problem