Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem

Details Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem

May 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011cemda.110...53s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 110, Issue 1, pp.53-70

Astronomy and Astrophysics

Astronomy

Three-Body Problem, Relative Periodic Orbit, Symmetric Periodic Orbit, Bifurcation, Euler Solution

Scientific paper

We study symmetric relative periodic orbits in the isosceles three-body problem using theoretical and numerical approaches. We first prove that another family of symmetric relative periodic orbits is born from the circular Euler solution besides the elliptic Euler solutions. Previous studies also showed that there exist infinitely many families of symmetric relative periodic orbits which are born from heteroclinic connections between triple collisions as well as planar periodic orbits with binary collisions. We carry out numerical continuation analyses of symmetric relative periodic orbits, and observe abundant families of symmetric relative periodic orbits bifurcating from the two families born from the circular Euler solution. As the angular momentum tends to zero, many of the numerically observed families converge to heteroclinic connections between triple collisions or planar periodic orbits with binary collisions described in the previous results, while some of them converge to "previously unknown" periodic orbits in the planar problem.

Affiliated with

Also associated with

No associations

Rating

Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-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 Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1577888