On the use of the autonomous Birkhoff equations in Lie series perturbation theory [EPA]

http://arxiv.org/abs/1707.07138


In this article, we present the Lie transformation algorithm for autonomous Birkhoff systems. Here, we are referring to Hamiltonian systems that obey a symplectic structure of the general form. Two examples of normalization in the restricted three-body problem are given to illustrate the application of the algorithm in perturbation theory. The efficiency of this algorithm for problems of asymptotic integration in dynamics is discussed for the case where there is a need to use non-canonical variables in the phase space.

Read this paper on arXiv…

T. Boronenko
Tue, 25 Jul 17
31/70

Comments: 27 pages