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arXiv · 1510.06822

Maslov-type indices and linear stability of elliptic Euler solutions of the three-body problem

Qinglong Zhou·Yiming Long
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Abstract

In this paper, we use the central configuration coordinate decomposition to study the linearized Hamiltonian system near the elliptic Euler solutions. Then using the Maslov-type ω-index theory of symplectic paths and the theory of linear operators we compute the ω-indices and obtain certain properties of linear stability of the Euler elliptic solutions of the classical three-body problem.

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Qinglong Zhou, Yiming Long. 2016-09-06. Maslov-type indices and linear stability of elliptic Euler solutions of the three-body problem. https://doi.org/10.1007/s00205-017-1154-8

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