Three-body planetary problem: study of KAM stability for the secular part of the Hamiltonian

Details Three-body planetary problem: study of KAM stability for the secular part of the Hamiltonian Three-body planetary problem: study of KAM stability for the secular part of the Hamiltonian

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998p%26ss...46.1453l&link_type=abstract

Planetary and Space Science, Volume 46, Issue 11-12, p. 1453-1464.

Computer Science

2

Scientific paper

The Hamiltonian representing the average over the mean-motion angles (i.e. the secular part) of the three-body planetary problem is considered. An efficient algorithm constructing invariant tori for the trajectories in phase space is provided. To give a possible practical application, we consider a toy-model including the main terms of the secular part of a hypothetic Sun-Jupiter-Saturn system having eccentricities and inclinations equal to 1/(20) of the true ones. The scheme of a KAM proof of the stability of the model is sketched. The proof is ``computer assisted''.

Affiliated with

Also associated with

No associations

Rating

Three-body planetary problem: study of KAM stability for the secular part of the Hamiltonian 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 Three-body planetary problem: study of KAM stability for the secular part of the Hamiltonian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Three-body planetary problem: study of KAM stability for the secular part of the Hamiltonian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-763808