A comparison of the Bohlin-von Zeipel and Bohlin-Lie series methods in resonant systems

Details A comparison of the Bohlin-von Zeipel and Bohlin-Lie series methods in resonant systems A comparison of the Bohlin-von Zeipel and Bohlin-Lie series methods in resonant systems

Apr 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..26..413j&link_type=abstract

Celestial Mechanics, vol. 26, Apr. 1982, p. 413-422.

Mathematics

14

Celestial Mechanics, Lie Groups, Resonance, Von Zeipel Method, Canonical Forms, Poincare Problem, Series Expansion, Transformations (Mathematics)

Scientific paper

Although the Bohlin-von Zeipel procedure can be used successfully to construct formal solutions to some resonant dynamical systems, it is shown here that a direct Bohlin-Lie series approach seems not to be feasible. The fact that certain terms lose an order of magnitude on differentiation with respect to the momentum variable leads to a situation that precludes an accurate construction of the first-order term in the generating function. A simple remedy to this impasse is proposed.

Affiliated with

Also associated with

No associations

Rating

A comparison of the Bohlin-von Zeipel and Bohlin-Lie series methods in resonant systems 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 A comparison of the Bohlin-von Zeipel and Bohlin-Lie series methods in resonant systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A comparison of the Bohlin-von Zeipel and Bohlin-Lie series methods in resonant systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-841134