Accession Number : AD0698140

Title :   ON A PERTURBATION THEORY USING LIE TRANSFORMS,

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB

Personal Author(s) : Henrard,Jacques

Report Date : NOV 1969

Pagination or Media Count : 25

Abstract : Kamel has recently extended to non-Hamiltonian equations a perturbation theory using Lie transforms. It is shown in this report extension can be approached from an intrinsic viewpoint, which reformulation leads to a simpler algorithm. Kamel's contribution is then completed by establishing rules for inverting the transformation generated by the perturbation theory, and for composing two such transformations. (Author)

Descriptors :   (*PERTURBATION THEORY, TRANSFORMATIONS(MATHEMATICS)), CELESTIAL MECHANICS, PARTIAL DIFFERENTIAL EQUATIONS, RECURSIVE FUNCTIONS, IDENTITIES, SERIES(MATHEMATICS), ALGORITHMS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE