A1 Refereed original research article in a scientific journal

Symbol sequences and orbits of the free-fall three-body problem




AuthorsTanikawa K, Mikkola S

PublisherOXFORD UNIV PRESS

Publication year2015

JournalPublications- Astronomical Society of Japan

Journal name in sourcePUBLICATIONS OF THE ASTRONOMICAL SOCIETY OF JAPAN

Journal acronymPUBL ASTRON SOC JPN

Article numberARTN 115

Volume67

Issue6

Number of pages10

ISSN0004-6264

DOIhttps://doi.org/10.1093/pasj/psv087(external)


Abstract

Using the symbols and symbol sequences along the orbits introduced in our preceding work, we numerically study the orbital structure of the free-fall three-body problem. We confirm and re-interpret the results obtained by us before. We describe the overall structure of the plane. It turns out that the structures of the initial condition plane can be systematically obtained with symbol sequences. Then, we obtain the structure of two interesting local regions: the isosceles and collinear boundaries of the plane. We present sequences of triple collision orbits and periodic orbits on these boundaries. We additionally argue that stable and/or unstable manifolds of the two-body collision manifolds connect different triple collision manifolds.




Last updated on 2024-26-11 at 21:09