Homographic solutions of the curved 3-body problem

Details Homographic solutions of the curved 3-body problem Homographic solutions of the curved 3-body problem

2010-01-12

arxiv.org/abs/1001.1789v2

Journal of Differential Equations 250 (2011) 1747-1766

Mathematics

Dynamical Systems

34 pages, 7 figures, new introduction

Scientific paper

In the 2-dimensional curved 3-body problem, we prove the existence of
Lagrangian and Eulerian homographic orbits, and provide their complete
classification in the case of equal masses. We also show that the only
non-homothetic hyperbolic Eulerian solutions are the hyperbolic Eulerian
relative equilibria, a result that proves their instability.

Affiliated with

Also associated with

No associations

Rating

Homographic solutions of the curved 3-body 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 Homographic solutions of the curved 3-body problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homographic solutions of the curved 3-body problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-458830