Astronomy and Astrophysics – Astrophysics – Earth and Planetary Astrophysics
Scientific paper
2010-12-21
International Journal of Bifurcation and Chaos, Vol. 21, No. 8 (2011) 2211-2219
Astronomy and Astrophysics
Astrophysics
Earth and Planetary Astrophysics
Published at International Journal of Bifurcation and Chaos (IJBC)
Scientific paper
10.1142/S0218127411029720
We consider the planar three body problem of planetary type and we study the generation and continuation of periodic orbits and mainly of asymmetric periodic orbits. Asymmetric orbits exist in the restricted circular three body problem only in particular resonances called "asymmetric resonances". However, numerical studies showed that in the general three body problem asymmetric orbits may exist not only for asymmetric resonances, but for other kinds, too. In this work, we show the existence of asymmetric periodic orbits in the elliptic restricted problem. These orbits are continued and clarify the origin of many asymmetric periodic orbits in the general problem. Also, we illustrate how the families of periodic orbits of the restricted circular problem and those of the elliptic one join smoothly and form families in the general problem, verifying in this way the scenario described firstly by Bozis and Hadjidemetriou (1976).
Antoniadou K. I.
Kotoulas Thomas
Voyatzis George
No associations
LandOfFree
On the bifurcation and continuation of periodic orbits in the 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 On the bifurcation and continuation of periodic orbits in the three-body problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the bifurcation and continuation of periodic orbits in the three-body problem will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-95570