Convexity in the Figure Eight Solution to the Three-Body Problem
Fujiwara, Toshiaki ; Montgomery, Richard
arXiv, 0308252 / Harvested from arXiv
Text on arXiv
The figure eight is a remarkable solution to the Newtonian three-body problem in which the three equal masses chase each around a planar curve having the qualitative shape and symmetries of a figure eight. Here we prove that each lobe of this eight is convex.
Publié le : 2003-08-27
Classification:  Mathematics - Dynamical Systems,  Mathematical Physics,  70F07 
@article{0308252,
     author = {Fujiwara, Toshiaki and Montgomery, Richard},
     title = {Convexity in the Figure Eight Solution to the Three-Body Problem},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0308252}
}

Fujiwara, Toshiaki; Montgomery, Richard. Convexity in the Figure Eight Solution to the Three-Body Problem. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0308252/