Numerical integration of nearly-Hamiltonian systemsThe 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.
Document ID
19780060757
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Bond, V. R. (NASA Johnson Space Center Houston, Tex., United States)
Date Acquired
August 9, 2013
Publication Date
January 1, 1978
Subject Category
Physics (General)
Meeting Information
Meeting: Colloqium on Dynamics of planets and satellites and theories of their motion