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- Title
Maslov-Type Indices and Linear Stability of Elliptic Euler Solutions of the Three-Body Problem.
- Authors
Zhou, Qinglong; Long, Yiming
- Abstract
In this paper, we use the central configuration coordinate decomposition to study the linearized Hamiltonian system near the 3-body elliptic Euler solutions. Then using the Maslov-type $${\omega}$$ -index theory of symplectic paths and the theory of linear operators we compute the $${\omega}$$ -indices and obtain certain properties of linear stability of the Euler elliptic solutions of the classical three-body problem.
- Subjects
MASLOV index; STABILITY theory; NUMERICAL solutions to elliptic equations; EULER method; THREE-body problem; HAMILTONIAN systems
- Publication
Archive for Rational Mechanics & Analysis, 2017, Vol 226, Issue 3, p1249
- ISSN
0003-9527
- Publication type
Article
- DOI
10.1007/s00205-017-1154-8