Mathematics
Scientific paper
Dec 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..34..135h&link_type=abstract
(Bundesministerium für Wissenschaft und Forschung of Austria, Alexander von Humboldt Colloquium on Celestial Mechanics: The Stab
Mathematics
2
Celestial Mechanics, Lie Groups, Series (Mathematics), Three Body Problem, Algorithms, Differential Equations, Hamiltonian Functions, Two Body Problem
Scientific paper
The practical application of the Lie series to the regularized plane-restricted three-body problem is attempted. It is shown that the Lie series provide a fast and very clear method for solving the regularized differential equations. Five Lie terms are sufficient to work with when the computing time needed to evaluate the terms is not too great.
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