Application of Lie-series to regularized problems in celestial mechanics

Mathematics

Scientific paper

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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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