A Global Analysis of the Generalized Sitnikov Problem

Details A Global Analysis of the Generalized Sitnikov Problem A Global Analysis of the Generalized Sitnikov Problem

Jan 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cemda..73..291c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 73, Issue 1/4, p. 291-302 (1999).

Astronomy and Astrophysics

Astronomy

3

Scientific paper

The isosceles three-body problem with Sitnikov-type symmetry has been reduced to a two-dimensional area-preserving Poincaré map depending on two parameters: the mass ratio, and the total angular momentum. The entire parameter space is explored, contrasting new results with ones obtained previously in the planar (zero angular momentum) case. The region of allowable motion is divided into subregions according to a symbolic dynamics representation. This enables a geometric description of the system based on the intersection of the images of the subregions with the preimages. The paper also describes the regions of allowable motion and bounded motion, and discusses the stability of the dominant periodic orbit.

Affiliated with

Also associated with

No associations

Rating

A Global Analysis of the Generalized Sitnikov Problem 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 Global Analysis of the Generalized Sitnikov Problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Global Analysis of the Generalized Sitnikov Problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1190589