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Record Details

Record 50 of 14478
Numerical integration of nearly-Hamiltonian systems. [Van der Pol oscillator and perturbed Keplerian motion]
Author and Affiliation:
Bond, V. R.(NASA Johnson Space Center, Houston, Tex., United States)
Abstract: The reported investigation is concerned with the solution of systems of differential equations which are derived from a Hamiltonian function in the extended phase space. The problem selected involves a one-dimensional perturbed harmonic oscillator. The van der Pol equation considered has an exact asymptotic value for its amplitude. Comparisons are made between a numerical solution and a known analytical solution. In addition to the van der Pol problem, known solutions regarding the restricted problem of three bodies are used as examples for perturbed Keplerian motion. The extended phase space Hamiltonian discussed by Stiefel and Scheifele (1971) is considered. A description is presented of two canonical formulations of the perturbed harmonic oscillator.
Publication Date: Jan 01, 1978
Document ID:
19780060757
(Acquired Dec 01, 1995)
Accession Number: 78A44666
Subject Category: PHYSICS (GENERAL)
Document Type: Conference Proceedings
Publication Information: (SEE A78-44651 19-89)
Publisher Information: Netherlands
Meeting Information: Colloqium on Dynamics of planets and satellites and theories of their motion; 41st; August 17-19, 1976; Cambridge
Financial Sponsor: NASA; United States
Organization Source: NASA Johnson Space Center; Houston, TX, United States
Description: 15p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: EARTH-MOON SYSTEM; HAMILTONIAN FUNCTIONS; NUMERICAL INTEGRATION; PERTURBATION THEORY; THREE BODY PROBLEM; DIFFERENTIAL EQUATIONS; HARMONIC OSCILLATION; KEPLER LAWS; LIBRATION; NUMERICAL ANALYSIS
Imprint And Other Notes: In: Dynamics of planets and satellites and theories of their motion; Proceedings of the Forty-first Colloquium, Cambridge, England, August 17-19, 1976. (A78-44651 19-89) Dordrecht, D. Reidel Publishing Co., 1978, p. 159-173.
Availability Source: Other Sources
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