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Triple collision in the collinear three-body problem

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

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Regularization of kepler's problem and the averaging method on a manifold
inferredcites →https://doi.org/10.1007/978-3-642-87284-6openalex-snapshot
Lectures on Celestial Mechanics
inferredcites →https://doi.org/10.1007/bf00250511openalex-snapshot
Singularities and collisions of Newtonian gravitational systems
inferredcites →https://doi.org/10.1007/bf02422379openalex-snapshot
Mémoire sur le problème des trois corps
inferredcites →https://doi.org/10.1016/0022-0396(71)90098-2openalex-snapshot
Regularization of vector fields by surgery
inferredcites →https://doi.org/10.1016/0022-0396(72)90036-8openalex-snapshot
Isolated invariant sets in compact metric spaces
inferredcites →https://doi.org/10.1016/0022-0396(72)90038-1openalex-snapshot
The topology of the regularized integral surfaces of the 3-body problem
inferredcites →https://doi.org/10.1090/s0002-9947-1971-0279830-1openalex-snapshot
Isolated Invariant Sets and Isolating Blocks
inferredcites →https://doi.org/10.1215/s0012-7094-73-04074-xopenalex-snapshot
On the existence of nontrivial recurrent motions
inferredcites →https://doi.org/10.1515/9781400875955openalex-snapshot
Qualitative Theory of Differential Equations
inferredcites →https://doi.org/10.1515/crll.1970.245.15openalex-snapshot
On the real singularities of the N-body problem.
inferredcites →https://doi.org/10.2307/1968991openalex-snapshot
Der Dreierstoss

What points at this work

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

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Computer Assisted Proofs for Transverse Collision and Near Collision Orbits in the Restricted Three Body Problem
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Etude de la collision triple
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Masses for which triple collision is regularizable
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Sur une etude de stabilite par analogie avec la collision triple
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Analysis of some degenerate quadruple collisions
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Sur un theoreme de stabilite pour un potentiel homogene
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Blow up of collapsing binaries in the planar three body problem
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Transverse heteroclinic orbits in the Anisotropic Kepler Problem
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From Brake to Syzygy
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The Schubart Orbits in the Curved Three-Body Problem with Two Equal Masses
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Entire parabolic trajectories as minimal phase transitions
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A model for binary-binary close encounters and collisions from a dynamical point of view
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The trapezoidal collinear four-body problem
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Phase-space structure of the Buckingham’s two-body problem
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Stability of the celestial body orbits under the influence of Yukawa potential
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Global flow in the generalized Buckingham’s two-body problem
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On the Manev spatial isosceles three-body problem
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Orbits stability under the influence of Mücket-Treder potential
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The continuation of triple collision orbits for the three-body system with unequal masses
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Symmetric Periodic Orbits in the Anisotropic Schwarzschild-Type Problem
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The global flow of the parabolic restricted three-body problem
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A Family of Symmetrical Schubart-Like Interplay Orbits and their Stability in the One-Dimensional Four-Body Problem
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On final evolutions in the restricted planar parabolic three-body problem
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On the variational approach to the periodic n-body problem
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The rectilinear three-body problem using symbol sequence I. Role of triple collision
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The rectilinear three-body problem
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The rectilinear three-body problem using symbol sequence II: role of the periodic orbits
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Non-schubart periodic orbits in the rectilinear three-body problem
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The rhomboidal symmetric four-body problem
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Comparison of low-energy lunar transfer trajectories to invariant manifolds
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Families of double symmetric “Schubart-like” periodic orbits
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Orbits near central configurations for four equal masses
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Free time minimizers for the three-body problem
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Planar N-body central configurations with a homogeneous potential
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Triple collision orbits in the free-fall three-body system without binary collisions
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Numerical confirmation of the existence of triple collision orbits inside the domain of the free-fall three-body problem
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Bifurcation of periodic orbits for the N-body problem, from a nongeometrical family of solutions
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Natural dynamical reduction of the three-body problem
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Triple collision orbits with nonzero initial velocities
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A global geometric framework for chaos in the free-fall three-body problem
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Non-Hyperbolic Equilibria in the Charged Collinear Three-Body Problem
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Schubart Solutions in the Charged Collinear Three-Body Problem
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The two-body problem with generalized Lennard-Jones potential
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The symmetric periodic orbits for the two-electron atom
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Dynamical behavior of the driven Morse oscillator
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Morse index for homothetic motions in the gravitational n-body problem
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Helium and Hamiltonian delay equations
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A Survey of Symbolic Dynamics and Celestial Mechanics
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The Global Phase Space for the 2- and 3-Dimensional Kepler Problems
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The Two-body Global Flow for Negative Energy Under the Schwarzschild–de Sitter Potential
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Symmetric Periodic Orbits and Schubart Orbits in The Charged Collinear Three-Body Problem
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The Rhomboidal 4-Body Problem Revisited
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A Bifurcation in the Family of Periodic Orbits for the Spatial Isosceles 3 Body Problem
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Some Qualitative Features of the Isosceles Trapezoidal Four-Body Problem
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McGehee Blow-Up of the Kepler Problem on Surfaces of Constant Curvature
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Minimal Geodesics of the Isosceles Three Body Problem
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N body spatial Parabolic orbits asymptotic to collinear central configurations
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On the extendable regular integrals of the n-body problem
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On simultaneous double collision in the collinear four-body problem
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Transversal ejection-collision orbits for the restricted problem and the Hill's problem with applications
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On moduli of conjugation for some n-dimensional vector fields
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The existence of oscillatory and superhyperbolic motion in Newtonian systems
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Global description of the solutions of a large class of non-integrable Hamiltonians
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A simple model for chaotic scattering
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The existence of global solution of the n-body problem
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SOME ASPECTS OF HOMOGENEITY IN MECHANICS
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Bibliography
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Global dynamics in nonconservative nonlinear Schrödinger equations
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Regularizable collinear periodic solutions in the n-body problem with arbitrary masses
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Morse index properties of colliding solutions to the N-body problem
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Connecting planar linear chains in the spatial N-body problem
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Ejection-collision orbits in the RTBP
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Numerical verification of the microscopic time reversibility of Newton’s equations of motion: Fighting exponential divergence
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Ejection-Collision orbits in the symmetric collinear four–body problem
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Analytical and numerical results on families of n-ejection-collision orbits in the RTBP
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Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization
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Qualitative and quantitative analysis of escapes in the isosceles Schwarzschild three-body problem
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Symplectic Hodge theory on Lie algebroids
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Qualitative study of a charged restricted three-body problem
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On the C8/3-regularisation of simultaneous binary collisions in the collinear 4-body problem
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Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem
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McGehee blowup for Lagrangian systems and instability of equilibria
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Central configurations and total collisions for quasihomogeneous -body problems
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Collision and escape orbits in a generalized Hénon–Heiles model
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On the global dynamics of the anisotropic Manev problem
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Escape dynamics in collinear atomic-like three mass point systems
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On the collision dynamics in a molecular model
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Sundman theorem revisited
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Periodic orbits and binary collisions in the classical three-body Coulomb problem
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Classical dynamics of collinear e−Ze− Coulomb three-body systems
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