Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cemda.103..191s&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 103, Issue 3, pp.191-207
Astronomy and Astrophysics
Astronomy
4
Three-Body Problem, Chaos, Symbolic Dynamics, Periodic Orbit
Scientific paper
We study the change of phase space structure of the rectilinear three-body problem when the mass combination is changed. Generally, periodic orbits bifurcate from the stable Schubart periodic orbit and move radially outward. Among these periodic orbits there are dominant periodic orbits having rotation number ( n - 2)/ n with n ≥ 3. We find that the number of dominant periodic orbits is two when n is odd and four when n is even. Dominant periodic orbits have large stable regions in and out of the stability region of the Schubart orbit (Schubart region), and so they determine the size of the Schubart region and influence the structure of the Poincaré section out of the Schubart region. Indeed, with the movement of the dominant periodic orbits, part of complicated structure of the Poincaré section follows these orbits. We find stable periodic orbits which do not bifurcate from the Schubart orbit.
Saito Masaya Masayoshi
Tanikawa Kiyotaka
No associations
LandOfFree
The rectilinear three-body problem using symbol sequence II: role of the periodic orbits 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 The rectilinear three-body problem using symbol sequence II: role of the periodic orbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The rectilinear three-body problem using symbol sequence II: role of the periodic orbits will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-973153