An estimation for the hyperbolic region of elliptic Lagrangian solutions in the planar three-body problem

Author:

Hu Xijun,Ou Yuwei

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference26 articles.

1. Albouy, A., Mutual Distances in Celestial Mechanics: Lectures at Nankai University (Tianjin, China, Sept 2004), (2004).

2. Chen, K.-Ch., Existence and Minimizing Properties of Retrograde Orbits to the Three-Body Problem with Various Choices of Masses, Ann. of Math. (2), 2008, vol. 167, no. 2, pp. 325–348.

3. Chenciner, A., Action Minimizing Solutions of the Newtonian n-Body Problem: From Homology to Symmetry, in Proc. of the Internat. Congr. of Math. (Beijing, 2002): Vol. 3, Beijing: Higher Educ. Press, 2002, pp. 279–294.

4. Chenciner, A. and Montgomery, R., A Remarkable Periodic Solution of the Three-Body Problem in the Case of Equal Masses, Ann. of Math. (2), 2000, vol. 152, no. 3, pp. 881–901.

5. Danby, J.M.A., The Stability of the Triangular Lagrangian Points in the General Problem of Three Bodies, Astronom. J., 1964, vol. 69, pp. 294–296.

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