Yuwei Ou
Jinan, Shandong 250100, The People’s Republic of China
Department of Mathematics, Shandong University
Publications:
Hu X., Ou Y.
An Estimation for the Hyperbolic Region of Elliptic Lagrangian Solutions in the Planar Three-body Problem
2013, vol. 18, no. 6, pp. 732-741
Abstract
It is well known that the linear stability of elliptic Lagrangian solutions depends on the mass parameter β=27(m1m2+m2m3+m3m1)/(m1+m2+m3)2∈[0,9] and the eccentricity e∈[0,1). Based on new techniques for evaluating the hyperbolicity and the recently developed trace formula for Hamiltonian systems [9], we identify regions for (β,e) such that elliptic Lagrangian solutions are hyperbolic. Consequently, we have proven that the elliptic relative equilibrium of square central configurations is hyperbolic with any eccentricity.
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