Families of symmetric relative periodic orbits originating from the circular Euler solution in the isosceles three-body problem-Reference-Cited by-同舟云学术

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

Published:2011-04-10 Issue:1 Volume:110 Page:53-70
ISSN:0923-2958
Container-title:Celestial Mechanics and Dynamical Astronomy
language:en
Short-container-title:Celest Mech Dyn Astr

Author:

Shibayama Mitsuru,Yagasaki Kazuyuki

Publisher

Springer Science and Business Media LLC

Subject

Space and Planetary Science,Astronomy and Astrophysics,Applied Mathematics,Computational Mathematics,Mathematical Physics,Modelling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s10569-011-9338-2.pdf

Reference20 articles.

1. Broucke R.: On the isosceles triangle configuration in the planar general three-body problem. Astron. Astrophys. 73, 303–313 (1979)

2. Chiralt C., Marco L., Martínez Alfaro J.: A multivalued approach to the planar isosceles three body problem. Set-Valued Anal. 16, 443–459 (2008)

3. Cors J.M., Castilho C., Vidal C.: The restricted planar isosceles three-body problem with non-negative energy. Celestial Mech. Dyn. Astron. 103, 163–177 (2009)

4. Devaney R.L.: Reversible diffeomorphisms and flows. Trans. Am. Math. Soc. 218, 89–113 (1976)

5. Doedel, E., Champneys, A.R., Fairgrieve, T.F., Kuznetsov, Y.A., Sandstede, B., Wang, X.: AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont). Concordia University, Montreal (an upgraded version is available at http://cmvl.cs.concordia.ca/auto/ ) (1997)

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Periodic orbit in the frame work of restricted three bodies under the asteroids belt effect;Applied Mathematics and Nonlinear Sciences;2020-07-01

2. New Phenomena in the Spatial Isosceles Three-Body Problem with Unequal Masses;International Journal of Bifurcation and Chaos;2015-11

3. New Phenomena in the Spatial Isosceles Three-Body Problem;International Journal of Bifurcation and Chaos;2015-08

4. Reduction the secular solution to periodic solution in the generalized restricted three-body problem;Astrophysics and Space Science;2013-12-28

5. Families of double symmetric “Schubart-like” periodic orbits;Celestial Mechanics and Dynamical Astronomy;2013-08-09