BIRKHOFF'S NORMALIZATION

reportActive / Technical Report | Accession Number: AD0686592 | Open PDF

Abstract:

Birkhoffs normalizing canonical transformation at an equilibrium of elliptic type with no internal resonance can be built explicitly and recursively, without partial inversions or substitutions, by means of Lie transforms. Invariant sections and ordinary families of periodic orbits for truncated normalized systems are analyzed in detail.

Author(s):
Deprit, Andre ; Henrard, Jaques ; Price, J. F. ; Rom, Arnold
Author Organization(s):
BOEING SCIENTIFIC RESEARCH LABS SEATTLE WA MATHEMATICS RESEARCH LAB
Pagination:
0059

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MATHEMATICAL NOTE-590, D1-82-0829
Monitor Series:
XD
 Subject Terms
Joint Capability Areas:
JCA_1.4.2_Health Service Delivery; JCA_1.4_Force Support; JCA_5_Command and Control; JCA_5.3_Planning; JCA_6.1_Information Transport; JCA_6_Net Centric
Communities of Interest:
Air Platforms
Descriptor(s):
*CELESTIAL MECHANICS, DYNAMICS, EQUATIONS OF MOTION, PERIODIC VARIATIONS, STABILITY, SUBROUTINES, TRANSFORMATIONS(MATHEMATICS)
Field(s)/Group(s):
Celestial Mechanics
Keyword(s):
BIRKHOFF NORMALIZATION, CANONICAL TRANSFORMATIONS, LIE TRANSFORMATION
Report Date:
1969 Mar 01