On the numerical transformation of variables in perturbation theory

Details On the numerical transformation of variables in perturbation theory On the numerical transformation of variables in perturbation theory

Dec 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..65..345b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 65, Issue 4, pp.345-354

Astronomy and Astrophysics

Astronomy

Lie Series, Numerical Integration, Perturbation Theory

Scientific paper

Once the generating function of a Lie-type transformation is known, canonical variables can be transformed numerically by application of a Runge-Kutta type integration method or any other appropriate numerical integration algorithm. The proposed approach avails itself of the fact, that the transformation is defined by a system of differential equations with a small parameter as the independent variable. The integration of such systems arising in the perturbation theories of Hori and Deprit is discussed. The method allows to compute numerical values of periodic perturbations without deriving explicitly the perturbation series. This saving of an algebraic work is achieved at the expense of multiple evaluations of the generator's derivatives.

Affiliated with

Also associated with

No associations

Rating

On the numerical transformation of variables in perturbation theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the numerical transformation of variables in perturbation theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the numerical transformation of variables in perturbation theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-821256