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Triple collision in the planar isosceles three body problem

https://doi.org/10.1007/bf01390017
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-87284-6openalex-snapshot
Lectures on Celestial Mechanics
inferredcites →https://doi.org/10.1007/978-94-009-9423-2openalex-snapshot
Instabilities in Dynamical Systems
inferredcites →https://doi.org/10.1007/978-94-009-9423-2_20openalex-snapshot
Stable and Unstable Manifolds in Planar Triple Collision
inferredcites →https://doi.org/10.1007/bf00250511openalex-snapshot
Singularities and collisions of Newtonian gravitational systems
inferredcites →https://doi.org/10.1007/bf01230243openalex-snapshot
Masses for which triple collision is regularizable
inferredcites →https://doi.org/10.1007/bf01390175openalex-snapshot
Triple collision in the collinear three-body problem
inferredcites →https://doi.org/10.1007/bf02422379openalex-snapshot
Mémoire sur le problème des trois corps
inferredcites →https://doi.org/10.1090/s0002-9947-1971-0295648-8openalex-snapshot
Improbability of Collisions in Newtonian Gravitational Systems
inferredcites →https://doi.org/10.4310/jdg/1214435495openalex-snapshot
Morse-Smale singularities in simple mechanical systems
inferredcites →https://doi.org/10.5948/upo9781614440185openalex-snapshot
Celestial Mechanics

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4671783openalex-extracted
Computer Assisted Proofs for Transverse Collision and Near Collision Orbits in the Restricted Three Body Problem
inferred← citeshttps://doi.org/10.1007/3-540-48009-9_5openalex-snapshot
Collisions and Singularities in the n-body Problem
inferred← citeshttps://doi.org/10.1007/3-540-48009-9_6openalex-snapshot
Triple Collision and Close Triple Encounters
inferred← citeshttps://doi.org/10.1007/978-0-387-30440-3_351openalex-snapshot
n-Body Problem and Choreographies
inferred← citeshttps://doi.org/10.1007/978-1-0716-2621-4_351openalex-snapshot
n-Body Problem and Choreographies
inferred← citeshttps://doi.org/10.1007/978-1-4020-5325-2_10openalex-snapshot
On final evolutions in the restricted planar parabolic three-body problem
inferred← citeshttps://doi.org/10.1007/978-1-4613-9725-0_18openalex-snapshot
Connections Between Critical Points in the Collision Manifold of the Planar 3-Body Problem
inferred← citeshttps://doi.org/10.1007/978-1-4613-9725-0_19openalex-snapshot
The Non-collision Sigularities of the 5 body Problem
inferred← citeshttps://doi.org/10.1007/978-1-4613-9725-0_8openalex-snapshot
The Rhomboidal Four Body Problem. Global Flow on the Total Collision Manifold
inferred← citeshttps://doi.org/10.1007/978-1-4614-1806-1_61openalex-snapshot
n-Body Problem and Choreographies
inferred← citeshttps://doi.org/10.1007/978-1-4899-1085-1_30openalex-snapshot
Order Out of Chaos in the Three-Body Problem: Regions of Escape
inferred← citeshttps://doi.org/10.1007/978-1-4899-6696-4_7openalex-snapshot
Singularities in Classical Mechanical Systems
inferred← citeshttps://doi.org/10.1007/978-94-009-0307-4_31openalex-snapshot
Dominant Roles of Binary and Triple Collisions in the Free-Fall Three-Body Disruption
inferred← citeshttps://doi.org/10.1007/978-94-009-3933-2_19openalex-snapshot
Chaotic Orbits in the Three Body Problem
inferred← citeshttps://doi.org/10.1007/978-94-009-7793-8_15openalex-snapshot
Coordonnées Symétriques sur la Variété de Collision Triple du Problème Plan des Trois Corps
inferred← citeshttps://doi.org/10.1007/978-94-015-9221-5_42openalex-snapshot
Bifurcations in the Mass Ratio of the Planar Isosceles Three-Body Problem
inferred← citeshttps://doi.org/10.1007/bf00251426openalex-snapshot
Chaotic dynamics near triple collision
inferred← citeshttps://doi.org/10.1007/bf00375112openalex-snapshot
The flow of the N-body problem near a simultaneous-binary-collision singularity and integrals of motion on the collision manifold
inferred← citeshttps://doi.org/10.1007/bf00692285openalex-snapshot
A search for collision orbits in the free-fall three-body problem I. Numerical procedure
inferred← citeshttps://doi.org/10.1007/bf00945869openalex-snapshot
Triple collisions in the isosceles three body problem with small mass ratio
inferred← citeshttps://doi.org/10.1007/bf01230657openalex-snapshot
Motion near total collapse in the planar isosceles three-body problem
inferred← citeshttps://doi.org/10.1007/bf01230661openalex-snapshot
Symmetric and regularized coordinates on the plane triple collision manifold
inferred← citeshttps://doi.org/10.1007/bf01238762openalex-snapshot
Qualitative study of the planar isosceles three-body problem
inferred← citeshttps://doi.org/10.1007/bf02426676openalex-snapshot
Tame and chaotic behavior in the planar isosceles 3-body problem
inferred← citeshttps://doi.org/10.1007/s00030-012-0182-1openalex-snapshot
Singular dynamics under a weak potential on a sphere
inferred← citeshttps://doi.org/10.1007/s00205-011-0417-zopenalex-snapshot
On the Minimizing Triple Collision Orbits in the Planar Newtonian Three-Body Problem
inferred← citeshttps://doi.org/10.1007/s00205-021-01619-6openalex-snapshot
An Index Theory for Collision, Parabolic and Hyperbolic Solutions of the Newtonian n-body Problem
inferred← citeshttps://doi.org/10.1007/s00205-021-01714-8openalex-snapshot
Symbolic Dynamics for the Anisotropic N-Centre Problem at Negative Energies
inferred← citeshttps://doi.org/10.1007/s00220-025-05283-9openalex-snapshot
Oscillatory Motions, Parabolic Orbits and Collision Orbits in the Planar Circular Restricted Three-Body Problem
inferred← citeshttps://doi.org/10.1007/s00332-014-9210-0openalex-snapshot
Dynamics in the Schwarzschild Isosceles Three Body Problem
inferred← citeshttps://doi.org/10.1007/s00332-021-09721-5openalex-snapshot
Ejection–Collision Orbits in Two Degrees of Freedom Problems in Celestial Mechanics
inferred← citeshttps://doi.org/10.1007/s10509-019-3504-5openalex-snapshot
On the Manev spatial isosceles three-body problem
inferred← citeshttps://doi.org/10.1007/s10509-025-04488-7openalex-snapshot
The continuation of triple collision orbits for the three-body system with unequal masses
inferred← citeshttps://doi.org/10.1007/s10569-006-9018-9openalex-snapshot
On final evolutions in the restricted planar parabolic three-body problem
inferred← citeshttps://doi.org/10.1007/s10569-013-9509-4openalex-snapshot
Families of double symmetric “Schubart-like” periodic orbits
inferred← citeshttps://doi.org/10.1007/s10569-016-9722-zopenalex-snapshot
Anisotropic Kepler and anisotropic two fixed centres problems
inferred← citeshttps://doi.org/10.1007/s10569-018-9823-yopenalex-snapshot
Free time minimizers for the three-body problem
inferred← citeshttps://doi.org/10.1007/s10569-019-9898-0openalex-snapshot
Planar N-body central configurations with a homogeneous potential
inferred← citeshttps://doi.org/10.1007/s10569-021-10044-6openalex-snapshot
Triple collision orbits in the free-fall three-body system without binary collisions
inferred← citeshttps://doi.org/10.1007/s10569-021-10050-8openalex-snapshot
Numerical confirmation of the existence of triple collision orbits inside the domain of the free-fall three-body problem
inferred← citeshttps://doi.org/10.1007/s10569-022-10062-yopenalex-snapshot
Bifurcation of periodic orbits for the N-body problem, from a nongeometrical family of solutions
inferred← citeshttps://doi.org/10.1007/s10569-023-10163-2openalex-snapshot
Triple collision orbits with nonzero initial velocities
inferred← citeshttps://doi.org/10.1007/s11228-007-0062-8openalex-snapshot
A Multivalued Approach to the Planar Isosceles Three Body Problem
inferred← citeshttps://doi.org/10.1007/s11784-025-01161-yopenalex-snapshot
Morse index for homothetic motions in the gravitational n-body problem
inferred← citeshttps://doi.org/10.1007/s12346-008-0010-5openalex-snapshot
A Survey of Symbolic Dynamics and Celestial Mechanics
inferred← citeshttps://doi.org/10.1007/s12346-017-0244-1openalex-snapshot
A Bifurcation in the Family of Periodic Orbits for the Spatial Isosceles 3 Body Problem
inferred← citeshttps://doi.org/10.1007/s12346-020-00349-6openalex-snapshot
McGehee Blow-Up of the Kepler Problem on Surfaces of Constant Curvature
inferred← citeshttps://doi.org/10.1007/s12346-020-00381-6openalex-snapshot
Minimal Geodesics of the Isosceles Three Body Problem
inferred← citeshttps://doi.org/10.1007/s12346-024-00978-1openalex-snapshot
Total Collision in a Four-Body Problem with Jacobi Potential
inferred← citeshttps://doi.org/10.1016/0022-0396(83)90103-1openalex-snapshot
N body spatial Parabolic orbits asymptotic to collinear central configurations
inferred← citeshttps://doi.org/10.1016/0022-0396(87)90031-3openalex-snapshot
Spiralling invariant manifolds
inferred← citeshttps://doi.org/10.1016/0167-2789(89)90186-3openalex-snapshot
Multifractal measures and stability islands in the anisotropic Kepler problem
inferred← citeshttps://doi.org/10.1016/j.cnsns.2025.109481openalex-snapshot
Qualitative and quantitative analysis of escapes in the isosceles Schwarzschild three-body problem
inferred← citeshttps://doi.org/10.1016/j.jde.2023.03.053openalex-snapshot
Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem
inferred← citeshttps://doi.org/10.1016/j.physd.2026.135435openalex-snapshot
Pair space in classical mechanics. III. Three-body isosceles configurations
inferred← citeshttps://doi.org/10.1023/a:1008305928852openalex-snapshot
Binary and triple collisions causing instability in the free-fall three-body problem
inferred← citeshttps://doi.org/10.1023/a:1008310812509openalex-snapshot
Keplerian periodic orbits in the isosceles problem
inferred← citeshttps://doi.org/10.1023/a:1008397407444openalex-snapshot
Orbital Distribution Arbitrarily Close to the Homothetic Equilateral Triple Collision in the Free‐Fall Three‐Body Problem with Equal Masses
inferred← citeshttps://doi.org/10.1063/1.166329openalex-snapshot
Order and chaos in the planar isosceles three-body problem
inferred← citeshttps://doi.org/10.1063/1.3119002openalex-snapshot
Collective branch regularization of simultaneous binary collisions in the 3D N-body problem
inferred← citeshttps://doi.org/10.1063/1.530277openalex-snapshot
The planar isosceles problem for Maneff’s gravitational law
inferred← citeshttps://doi.org/10.1080/00029890.1982.11995493openalex-snapshot
Blowing Up Singularities in Classical Mechanical Systems
inferred← citeshttps://doi.org/10.1088/0951-7715/21/6/009openalex-snapshot
On the dihedraln-body problem
inferred← citeshttps://doi.org/10.1088/0951-7715/22/10/004openalex-snapshot
Heteroclinic connections between triple collisions and relative periodic orbits in the isosceles three-body problem
inferred← citeshttps://doi.org/10.1088/0951-7715/26/10/2875openalex-snapshot
Periodic brake orbits in the planar isosceles three-body problem
inferred← citeshttps://doi.org/10.1088/0951-7715/28/6/1919openalex-snapshot
Realizing all reduced syzygy sequences in the planar three-body problem
inferred← citeshttps://doi.org/10.1088/0954-3899/30/2/013openalex-snapshot
Semiclassical deuteron
inferred← citeshttps://doi.org/10.1090/s0002-9947-1993-1136546-1openalex-snapshot
Global Phase Structure of the Restricted Isosceles Three-Body Problem with Positive Energy
inferred← citeshttps://doi.org/10.1090/s0273-0979-1980-14802-8openalex-snapshot
Triple collisions in the isosceles 3-body problem
inferred← citeshttps://doi.org/10.1093/imrn/rnn069openalex-snapshot
On the Singularities of Generalized Solutions to n-Body-Type Problems
inferred← citeshttps://doi.org/10.1093/pasj/56.1.235openalex-snapshot
On the Symmetric Collinear Four-Body Problem
inferred← citeshttps://doi.org/10.1103/physreva.105.043501openalex-snapshot
Anisotropic Kepler problem in a non–rotationally-symmetric Eaton lens
inferred← citeshttps://doi.org/10.1103/physreve.75.026203openalex-snapshot
Dynamics starting from zero velocities in the classical Coulomb three-body problem
inferred← citeshttps://doi.org/10.1134/1.1626199openalex-snapshot
Characteristics of motions in the 2D isosceles three-body problem with unequal masses
inferred← citeshttps://doi.org/10.1134/s1560354707050012openalex-snapshot
Symbolic dynamics in the planar three-body problem
inferred← citeshttps://doi.org/10.1134/s1560354719020060openalex-snapshot
Variational Construction of Orbits Realizing Symbolic Sequences in the Planar Sitnikov Problem
inferred← citeshttps://doi.org/10.1137/0515065openalex-snapshot
Heteroclinic Phenomena in the Isosceles Three-Body Problem
inferred← citeshttps://doi.org/10.1137/0521086openalex-snapshot
Collision Singularities in Celestial Mechanics
inferred← citeshttps://doi.org/10.1142/9789812776174_0004openalex-snapshot
SINGULARITIES AND COLLISIONS IN N-BODY TYPE PROBLEMS
inferred← citeshttps://doi.org/10.1215/kjm/1265899480openalex-snapshot
Free-fall and heteroclinic orbits to triple collisions in the isosceles three-body problem
inferred← citeshttps://doi.org/10.1216/rmj-2012-42-1-257openalex-snapshot
Regularization of simultaneous binary collisions in some gravitational systems
inferred← citeshttps://doi.org/10.2307/2374233openalex-snapshot
Orbits of the Three-Body Problem Which Pass Infinitely Close to Triple Collision
inferred← citeshttps://doi.org/10.2307/2946572openalex-snapshot
The Existence of Noncollision Singularities in Newtonian Systems
inferred← citeshttps://doi.org/10.24275/uami.cf95jb72zopenalex-snapshot
Estudio de un punto de equilibrio no hiperbólico en el problema colineal cargado de tres cuerpos
inferred← citeshttps://doi.org/10.24275/uami.kk91fk601openalex-snapshot
Dinámica simbólica en los problemas rectangular y colineal simétrico de 4 cuerpos
inferred← citeshttps://doi.org/10.24275/uami.wd375w385openalex-snapshot
El problema rombodial de 4 cuerpos en el plano
inferred← citeshttps://doi.org/10.3934/dcds.2011.30.299openalex-snapshot
Non-integrability of the collinear three-body problem
inferred← citeshttps://doi.org/10.3934/dcds.2013.33.3011openalex-snapshot
Geometry of stationary solutions for a system of vortex filaments: A dynamical approach
inferred← citeshttps://doi.org/10.3934/dcds.2015.35.3707openalex-snapshot
Non-integrability criterion for homogeneous Hamiltonian systems via blowing-up technique of singularities
inferred← citeshttps://doi.org/10.3934/dcdsb.2012.17.943openalex-snapshot
On the existence of doubly symmetric "Schubart-like" periodic orbits
inferred← citeshttps://doi.org/10.3934/dcdss.2013.6.925openalex-snapshot
Dynamics of the the dihedral four-body problem
inferred← citeshttps://doi.org/10.48550/arxiv.1109.1128openalex-snapshot
Global dynamics under a weak potential on a sphere
inferred← citeshttps://doi.org/10.48550/arxiv.1112.4623openalex-snapshot
Dynamics of the the dihedral four-body problem
inferred← citeshttps://doi.org/10.48550/arxiv.1412.2263openalex-snapshot
Realizing All Free Homotopy Classes for the Newtonian Three-Body Problem
inferred← citeshttps://doi.org/10.48550/arxiv.1507.07982openalex-snapshot
Blow-up for realizing homotopy classes in the three-body problem
inferred← citeshttps://doi.org/10.48550/arxiv.1810.13011openalex-snapshot
Planar $N$-body central configurations with a homogeneous potential
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