Analysis of some degenerate quadruple collisions

DOI10.1007/BF01230659zbMath0536.70013OpenAlexW1992509724MaRDI QIDQ3321515

Carles Simó, Ernesto A. Lacomba

Publication date: 1982

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01230659

zbMATH Keywords

equilibrium pointsinvariant manifoldrectangularheteroclinic solutionscollineardegenerate caseschange of coordinatesquadruple collisionregularizingQuadruple collisiontrapezoidal four-body problem

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) (n)-body problems (70F10) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (7)

Symbolic dynamics in the symmetric collinear four-body problem ⋮ Some questions looking for answers in dynamical systems ⋮ Ejection-collision orbits in the symmetric collinear four-body problem ⋮ Ejection-collision orbits in two degrees of freedom problems in celestial mechanics ⋮ Mouvements voisins de collision quadruple dans le probleme trapezoidal des 4 corps ⋮ Global dynamics of mechanical systems with cubic potentials ⋮ Some qualitative features of the isosceles trapezoidal four-body problem

Cites Work

• Triple collision in the collinear three-body problem
• Masses for which triple collision is regularizable
• [https://portal.mardi4nfdi.de/wiki/Publication:4068161 �tude du choc de deux petites masses en pr�sence d'un troisi�me corps de masse pr�pond�rante]
• Motion near total collapse in the planar isosceles three-body problem

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