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Periodic orbits close to elliptic tori and applications to the three-body problem book

Periodic orbits close to elliptic tori and applications to the three-body problem

Details Of The Book

Periodic orbits close to elliptic tori and applications to the three-body problem

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pages: 48 
language: English 
ebook format : PDF (It will be converted to PDF, EPUB OR AZW3 if requested by the user) 
file size: 578 KB 

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Abstract Of The Book



Table Of Contents

Periodic orbits accumulating on elliptic tori......Page 6
Study of the resonances and technical Lemmata......Page 10
Normal form around an elliptic torus......Page 14
Periodic orbits winding along the torus......Page 20
The pseudo periodic solutions......Page 21
The variational principle......Page 27
The planetary spatial three-body problem......Page 29
A KAM Theorem for elliptic tori......Page 34
Abundance of periodic solutions in the three-body problem......Page 36
Periodic orbits near resonant elliptic tori......Page 39
Appendix: Proof of Proposition 5.1......Page 42


First 10 Pages Of the book


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