Qualitative study of the planar isosceles three-body problem

DOI10.1007/BF01238762zbMath0657.70015MaRDI QIDQ3805986

Carles Simó, Regina Martínez

Publication date: 1987

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

zbMATH Keywords

topological representationtriple collisionthree-dimensional manifoldenergy manifoldgeneral planar three-body problemisoscelles triangle

Mathematics Subject Classification ID

Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (16)

A bifurcation in the family of periodic orbits for the spatial isosceles 3 body problem ⋮ Bifurcation of periodic orbits for the \(N\)-body problem, from a nongeometrical family of solutions ⋮ On final evolutions in the restricted planar parabolic three-body problem ⋮ Families of double symmetric ``Schubart-like periodic orbits ⋮ Triple collision orbits with nonzero initial velocities ⋮ A restricted charged four-body problem ⋮ A numerical study of the orbits of second species of the planar circular RTBP ⋮ Symmetric periodic orbits in three sub-problems of the \(N\)-body problem ⋮ Dynamics in the Schwarzschild isosceles three body problem ⋮ Collective branch regularization of simultaneous binary collisions in the 3D N-body problem ⋮ From brake to syzygy ⋮ High-order solutions of motion near triangular libration points for arbitrary value of \(\mu\) ⋮ A multivalued approach to the planar isosceles three-body problem ⋮ Numerical confirmation of the existence of triple collision orbits inside the domain of the free-fall three-body problem ⋮ Motions close to escapes in the rhomboidal four body problem ⋮ Order and chaos in the planar isosceles three-body problem

Cites Work

• Unnamed Item
• Triple collision in the planar isosceles three body problem
• Triple collision in the collinear three-body problem
• A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
• Heteroclinic Phenomena in the Isosceles Three-Body Problem
• Orbits of the Three-Body Problem Which Pass Infinitely Close to Triple Collision
• Reversible Diffeomorphisms and Flows
• Boundary manifolds for energy surfaces in celestial mechanics

This page was built for publication: Qualitative study of the planar isosceles three-body problem