Some solutions of the general three body problem in form space

Some solutions of three body problem with equal masses are first considered in form space. The solutions in usual euclidean space may be restored from these form space solutions. If constant energy h < 0, the trajectories are located inside of Hill’s surface. Without loss of generality due to sca...

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Bibliographische Detailangaben
1. Verfasser: Titov, Vladimir
Format: Tagungsbericht
Sprache:eng
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Zusammenfassung:Some solutions of three body problem with equal masses are first considered in form space. The solutions in usual euclidean space may be restored from these form space solutions. If constant energy h < 0, the trajectories are located inside of Hill’s surface. Without loss of generality due to scale symmetry we can set h = −1. Such surface has a simple form in form space. Solutions of isosceles and rectilinear three body problems lie within Hill’s curve; periodic solutions of free fall three body problem start in one point of this curve, and finish in another. The solutions are illustrated by number of figures.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5034627