Numerical confirmation of the existence of triple collision orbits inside the domain of the free-fall three-body problem

DOI10.1007/s10569-021-10050-8zbMath1482.70017OpenAlexW3216262899MaRDI QIDQ2073326

Seppo Mikkola, Kiyotaka Tanikawa

Publication date: 1 February 2022

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

Full work available at URL: https://doi.org/10.1007/s10569-021-10050-8

zbMATH Keywords

three-body problemtriple collisionfree-fall problem

Mathematics Subject Classification ID

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

Related Items (1)

Triple collision orbits with nonzero initial velocities

Cites Work

• Chaotic dynamics near triple collision
• Triple collision in the planar isosceles three body problem
• The existence of noncollision singularities in Newtonian systems
• Triple collision in the collinear three-body problem
• A search for triple collision orbits inside the domain of the free-fall three-body problem
• Qualitative study of the planar isosceles three-body problem
• The zero angular momentum, three-body problem: All but one solution has syzygies

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