The Relegation Algorithm

Details The Relegation Algorithm The Relegation Algorithm

Mar 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cemda..79..157d&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 79, Issue 3, p. 157-182 (2001).

Astronomy and Astrophysics

Astronomy

2

Hamiltonian Dynamics, Perturbation Theory, Lie Transformations, Normalization, Keplerian Motion, Symbolic Algebra, Hamiltonian Dynamics, Perturbation Theory, Lie Transformations, Normalization, Keplerian Motion, Symbolic Algebra

Scientific paper

The relegation algorithm extends the method of normalization by Lie transformations. Given a Hamiltonian that is a power series ℋ = ℋ0+ ɛℋ1+ ... of a small parameter ɛ, normalization constructs a map which converts the principal part ℋ0into an integral of the transformed system — relegation does the same for an arbitrary function ℋ[G]. If the Lie derivative induced by ℋ[G] is semi-simple, a double recursion produces the generator of the relegating transformation. The relegation algorithm is illustrated with an elementary example borrowed from galactic dynamics; the exercise serves as a standard against which to test software implementations. Relegation is also applied to the more substantial example of a Keplerian system perturbed by radiation pressure emanating from a rotating source.

Affiliated with

Also associated with

No associations

Rating

The Relegation Algorithm 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 The Relegation Algorithm, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Relegation Algorithm will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1006191