Linear Stability of Elliptic Lagrangian Solutions of the Planar Three-Body Problem via Index Theory-Reference-Cited by-同舟云学术

Linear Stability of Elliptic Lagrangian Solutions of the Planar Three-Body Problem via Index Theory

Published:2014-05-01 Issue:3 Volume:213 Page:993-1045
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Hu Xijun,Long Yiming,Sun Shanzhong

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00205-014-0749-6.pdf

Reference20 articles.

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2. Gascheau M.: Examen d’une classe d’équations différentielles et application à un cas particulier du problème des trois corps. Comptes Rend. Acad. Sci. 16, 393–394 (1843)

3. Gordon W.B.: A minimizing property of Kepler orbits. Am. J. Math. 99(5), 961–971 (1977)

4. Hu X., Sun S.: Index and stability of symmetric periodic orbits in Hamiltonian systems with its application to figure-eight orbit. Commun. Math. Phys. 290, 737–777 (2009)

5. Hu X., Sun S.: Morse index and stability of elliptic Lagrangian solutions in the planar three-body problem. Adv. Math. 223, 98–119 (2010)

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