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The criterion algorithm of relation of implication between periodic orbits (II)

✍ Scribed by Zhang Jing-zhong; Yang Lu; Zhang Lei


Book ID
105436132
Publisher
Springer
Year
1990
Tongue
English
Weight
424 KB
Volume
11
Category
Article
ISSN
0253-4827

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The linearization of the spatial restricted three body problem at the collinear equilibrium point L 2 has two pairs of pure imaginary eigenvalues and one pair of real eigenvalues so the center manifold is four dimensional. By the classical Lyapunov center theorem there are two families of periodic s