NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Equivalence of the generalized Lie-Hori method and the method of averagingIn this investigation, a comparison is made of two methods for developing perturbation theories for non-canonical dynamical systems. The methods compared are the generalized Lie-Hori method and the method of averaging. In the comparison presented here, the equivalence of the methods up to the second order in the small parameter is shown. However, the approach used can be extended to demonstrate the equivalence for higher orders. To illustrate the equivalence Duffing's equation, the van der Pol equation and the oscillator with quadratic damping problem are solved using each method.
Document ID
19840060589
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Ahmed, A. H.
(Texas Univ. Austin, TX, United States)
Tapley, B. D.
(Texas, University Austin, TX, United States)
Date Acquired
August 12, 2013
Publication Date
May 1, 1984
Publication Information
Publication: Celestial Mechanics
Volume: 33
ISSN: 0008-8714
Subject Category
Astronomy
Accession Number
84A43376
Funding Number(s)
CONTRACT_GRANT: JPL-954703
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available