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On the Force Fields Which Are Homogeneous of Degree −3 Read chapter Read first chapter

2015 | OriginalPaper | Chapter

Convex Central Configurations of Two Twisted n-gons

Authors : Esther Barrabés, Josep Maria Cors

Published in: Extended Abstracts Spring 2014

Publisher: Springer International Publishing

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Abstract

The simplest motions that can be found in the Newtonian N-body problem are the ones whose configuration is constant up to rotations and scaling, and every body follows a trajectory being a keplerian orbit. Such kind of solutions are called central configurations.

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previous chapter Bifurcations of the Spatial Central Configurations in the 5-Body Problem
next chapter The Newtonian n-Body Problem in the Context of Curved Space
Literature
1.
A. Albouy, Y. Fu, and S. Sun, “Symmetry of planar four-body convex central configurations”. Proc. R. Soc. A 464(2093) (2008), 1355–1365.
2.
E. Barrabés, J.M. Cors, and G. Roberts, “Planar central configurations of twisted rings”. Preprint.
3.
W.D. MacMillan and W. Bartky, “Permanent configurations in the problem of four bodies”. Trans. Amer. Math. Soc. 34 (1932), 838–875.
4.
R. Moeckel and C. Simó, “Bifurcation of spatial central configurations from planar ones”. SIAM journal on mathematical analysis 26 (1995), 978–998.
5.
G.E. Roberts, “Existence and stability of relative equilibria in the N-body problem”. PhD thesis, Boston University, 1999.
6.
D.G. Saari, “Collisions, rings, and other Newtonian N-body problems”, CBMS Regional Conference Series in Mathematics 104 (2005).
7.
Z. Xia, “Convex central configurations for the n-body problem”. Journal of Differential Equations 200(2) (2004), 185–190.
8.
X. Yu and S. Zhang, “Twisted angles for central configurations formed by two twisted regular polygons”. J. Differential Equations 253 (2012), 2106–2122.
Metadata
Title
Convex Central Configurations of Two Twisted n-gons
Authors
Esther Barrabés
Josep Maria Cors
Copyright Year
2015
Book
Extended Abstracts Spring 2014

Print ISBN: 978-3-319-22128-1

Electronic ISBN: 978-3-319-22129-8

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-3-319-22129-8_3

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