On the N-body Problem

In this thesis, central configurations, regularization of Simultaneous binary collision, linear stability of Kepler orbits, and index theory for symplectic path are studied. The history of their study is summarized in section 1. Section 2 deals with the following problem: given a collinear configura...

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Bibliographic Details
Main Author: Xie, Zhifu
Format: Others
Published: BYU ScholarsArchive 2006
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/787
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1786&context=etd