Versal normal form at the Lagrange equilibrium L4

Richard Cushman, Al Kelley, Hüseyin Koçak

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

A new normal form, called versal, for the linearized Hamiltonian vector field of the planar restricted three-body problem at the Lagrange equilibrium point L4 depending smoothly on the mass ratio for all values close to the critical Routh's ratio is described. Then a canonical transformation also depending smoothly on the mass ratio which brings the linear Hamiltonian vector field into this versal normal form is explicitly calculated.

Original languageEnglish (US)
Pages (from-to)340-374
Number of pages35
JournalJournal of Differential Equations
Volume64
Issue number3
DOIs
StatePublished - Sep 30 1986
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Versal normal form at the Lagrange equilibrium L<sub>4</sub>'. Together they form a unique fingerprint.

  • Cite this