Perturbations of the Kepler Problem in Global Coordinates

Details Perturbations of the Kepler Problem in Global Coordinates Perturbations of the Kepler Problem in Global Coordinates

Nov 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cemda..77..185c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 77, Issue 3, p. 185-200 (2000).

Astronomy and Astrophysics

Astronomy

1

Perturbation Theory, Kepler Problem, Perturbation Theory, Kepler Problem

Scientific paper

The usual action-angle variables for the Kepler Problem (the Delaunay variables) are not globally defined, leaving out some orbits (circular orbits or those lying on the xy-plane). Moreover they are trascendental functions of the physical variables, making it quite difficult to write the perturbed Hamiltonian. The way-out proposed here is to pass to a 8-dimensional rank-6 Poisson manifold, that is, to parametrize the state of the Kepler Problem with two 4-dimensional vectors mutually orthogonal and of equal norm.

Affiliated with

Also associated with

No associations

Rating

Perturbations of the Kepler Problem in Global Coordinates 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 Perturbations of the Kepler Problem in Global Coordinates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbations of the Kepler Problem in Global Coordinates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1148898