Total collision in a four-body problem with Jacobi potential

DOI10.1007/s12346-024-00978-1OpenAlexW4392368370MaRDI QIDQ6124603

Manuele Santoprete, Lennard F. Bakker, Cristina Stoica

Publication date: 28 March 2024

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-024-00978-1

zbMATH Keywords

integral of motionphase spacetime-reversing symmetryrhombus configurationcollision manifold topology

Mathematics Subject Classification ID

(n)-body problems (70F10) Collisions in celestial mechanics, regularization (70F16)

Cites Work

• Unnamed Item
• Dynamics in the Schwarzschild isosceles three body problem
• Existence and linear stability of the rhomboidal periodic orbit in the planar equal mass four-body problem
• The rhomboidal 4-body problem revisited
• Triple collision in the planar isosceles three body problem
• Double collisions for a classical particle system with nongravitational interactions
• A compact model for the planar rhomboidal 4-body problem
• Motions close to escapes in the rhomboidal four body problem
• The planar isosceles problem for Maneff’s gravitational law
• Action-minimizing orbits in the parallelogram four-body problem with equal masses

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