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Families of periodic orbits: Virtual periods and global continuability

✍ Scribed by Kathleen T Alligood; James A Yorke


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
814 KB
Volume
55
Category
Article
ISSN
0022-0396

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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