Orbital distribution arbitrarily close to the homothetic equilateral triple collision in the free-fall three-body problem with equal masses

DOI10.1023/A:1008397407444zbMath0974.70010MaRDI QIDQ1976129

Hiroaki Umehara, Kiyotaka Tanikawa

Publication date: 20 July 2000

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

binary collisionfree-fall three-body problemtriple-collision orbitescape criterionhomothetic equilateral pointhyperbolic-elliptic escapenon-escape orbitsorbital distributionsparabolic-elliptic escapethree-body problem with equal masses

Mathematics Subject Classification ID

Three-body problems (70F07) Collisions in celestial mechanics, regularization (70F16)

Related Items (1)

Clustering motions in \(N\)-body systems -- free-fall motions in the Gaussian three-body problem

This page was built for publication: Orbital distribution arbitrarily close to the homothetic equilateral triple collision in the free-fall three-body problem with equal masses