Versal normal form at the Lagrange equilibrium L4

Richard Cushman, Al Kelley, Huseyin Kocak

Research output: Contribution to journalArticle

6 Citations (Scopus)

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

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Hamiltonians
Lagrange
Normal Form
Vector Field
Restricted Three-body Problem
Canonical Transformation
Equilibrium Point

ASJC Scopus subject areas

  • Analysis

Cite this

Versal normal form at the Lagrange equilibrium L4. / Cushman, Richard; Kelley, Al; Kocak, Huseyin.

In: Journal of Differential Equations, Vol. 64, No. 3, 30.09.1986, p. 340-374.

Research output: Contribution to journalArticle

Cushman, Richard ; Kelley, Al ; Kocak, Huseyin. / Versal normal form at the Lagrange equilibrium L4. In: Journal of Differential Equations. 1986 ; Vol. 64, No. 3. pp. 340-374.
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