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Numerical Integration of Nearly-Hamiltonian Systems

Published online by Cambridge University Press:  12 April 2016

Victor R. Bond
Victor R. Bond*
Affiliation:
NASA – JSC, Houston, Texas, U.S.A.

Abstract

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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.

Type
Part III. Numerical and Other Techniques
Information
International Astronomical Union Colloquium , Volume 41: Dynamics of Planets and Satellites and Theories of their Motion , 1978 , pp. 159 - 173
Copyright
Copyright © Reidel 1978

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