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book: The Restricted 3-Body Problem: Plane Periodic Orbits
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The Restricted 3-Body Problem: Plane Periodic Orbits

Language: English
Published/Copyright: 1994
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De Gruyter Expositions in Mathematics

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"This beautiful book is written by a prominent specialist in the qualitative theory of ordinary differential equations, especially the theory of Hamiltonian systems and applications to celestial mechanics. Although devoted mainly to the restricted 3-body problem (R3BP), it can serve as a perfect model of how such qualitative methods can be applied in the study of a classical problem of mechanics. The book will undoubtedly become a reference source for people interested in the topics mentioned above [...]." Mathematical Reviews (review of the original Russian edition)

Topics

  • Publicly Available

    Frontmatter

    I
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    Introduction

    1
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  • Part I. Mathematical means
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    Chapter I. The normal form of a Hamiltonian system

    13
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    Chapter II. Normalization of a Hamiltonian system near a cycle or a torus

    54
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  • Part II. Solutions of the limiting problem (μ = 0)
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    Chapter III. Periodic solutions and arc solutions

    95
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    Chapter IV. Properties of arc solutions of the families S and ΤN

    133
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    Chapter V. Extrema of the Hamiltonian function on families of arc solutions

    178
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    Chapter VI. Trajectories of collisions

    194
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  • Part III. Regular generating solutions
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    Chapter VII. Solutions of the second kind

    235
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    Chapter VIII. Solutions of the first kind

    266
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    Chapter IX. Generating arc solutions from C̅1C̅1

    298
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    Chapter Χ. Perturbations of hyperbolic orbits

    317
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    Appendix. Tables of generating families and their perturbations

    327
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    Bibliography

    347
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    Author index

    357
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    Subject index

    359
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
May 3, 2011
eBook ISBN:
9783110901733
Hardcover published on:
September 1, 1994
Hardcover ISBN:
9783110137033
Edition:
Reprint 2011
Pages and Images/Illustrations in book
Front matter:
14
Main content:
362
Illustrations:
93
Tables:
12
https://doi.org/10.1515/9783110901733
eBook ISBN: 9783110901733
Hardcover ISBN: 9783110137033
Keywords for this book
Hamiltonsches System; Eingeschränktes Dreikörperproblem
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