Numerical Integration of Nearly-Hamiltonian Systems release_tjpsqtmtpzf27guev3dmanmwwi

by Victor R. Bond

Published in International Astronomical Union Colloquium by Cambridge University Press (CUP).

1978   Volume 41, p159-173


<jats:title>Abstract</jats:title>Consideration is given to the solution by numerical integration of systems of differential equations that are derived from a Hamiltonian function in the extended phase space plus additional forces not included in the Hamiltonian (that is, nearly-Hamiltonian systems). An extended phase space Hamiltonian which vanishes initially will vanish on any solution of the system differential equations. Furthermore, it vanishes in spite of the additional forces, and defines a surface in the extended phase space upon which the solution is constrained.
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