Title

The Uniqueness Of Normal Forms Via Lie Transforms And Its Applications To Hamiltonian-Systems

Comments

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Keywords

Astronomy & Astrophysics; Mechanics

Abstract

A necessary and sufficient condition is given for the unique normal forms about critical elements-equilibrium points and periodic orbits. With some applications to the Birkhoff's normal form along with its generalized form by K.R. Meyer, the restricted problem of three bodies near L4, the Birkohoff's normalization procedure, and the singular perturbation, of Hamiltonian systems are discussed.

Journal Title

Celestial Mechanics

Volume

36

Issue/Number

1

Publication Date

1-1-1985

Document Type

Article

Language

English

First Page

89

Last Page

104

WOS Identifier

WOS:A1985AQD7500006

ISSN

0008-8714

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