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Symmetric regularization, reduction and blow-up of the planar three-body problem
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4613-9725-0_18openalex-snapshot
Connections Between Critical Points in the Collision Manifold of the Planar 3-Body Problem
inferredcites →https://doi.org/10.1007/978-94-010-2870-7_37openalex-snapshot
Direct Integration Methods of the N-Body Problem
inferredcites →https://doi.org/10.1007/bf00251426openalex-snapshot
Chaotic dynamics near triple collision
inferredcites →https://doi.org/10.1007/bf01227621openalex-snapshot
A global regularisation of the gravitationalN-body problem
inferredcites →https://doi.org/10.1007/bf01227784openalex-snapshot
A new regularization of the planar problem of three bodies
inferredcites →https://doi.org/10.1007/bf01230661openalex-snapshot
Symmetric and regularized coordinates on the plane triple collision manifold
inferredcites →https://doi.org/10.1007/bf01241046openalex-snapshot
From rotations and inclinations to zero configurational velocity surfaces I. A natural rotating coordinate system
inferredcites →https://doi.org/10.1007/bf01390175openalex-snapshot
Triple collision in the collinear three-body problem
inferredcites →https://doi.org/10.1007/bf02404404openalex-snapshot
Sur la régularisation du problème des trois corps
inferredcites →https://doi.org/10.1007/s002220050200openalex-snapshot
Le problème des n corps et les distances mutuelles
inferredcites →https://doi.org/10.1016/0034-4877(74)90021-4openalex-snapshot
Reduction of symplectic manifolds with symmetry
inferredcites →https://doi.org/10.1016/b978-0-12-550350-1.50025-4openalex-snapshot
Symmetries and Integrals in Mechanics††This research was supported by ONR contract number N00014-67-A-0113-0019.
inferredcites →https://doi.org/10.1137/0515065openalex-snapshot
Heteroclinic Phenomena in the Isosceles Three-Body Problem
inferredcites →https://doi.org/10.1515/crll.1843.26.115openalex-snapshot
Sur l'elimination des noeuds dans le problème des trois corps.
inferredcites →https://doi.org/10.2307/2371252openalex-snapshot
A Symmetric Reduction of the Planar Three-Body Problem
inferredcites →https://doi.org/10.2307/2371407openalex-snapshot
Errata: On a Symmetrical Canonical Reduction of the Problem of Three Bodies
inferredcites →https://doi.org/10.2307/2371569openalex-snapshot
On a Symmetrical Canonical Reduction of the Problem of Three Bodies
inferredcites →https://doi.org/10.2307/2661357openalex-snapshot
A Remarkable Periodic Solution of the Three-Body Problem in the Case of Equal Masses
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/10.1002/asna.201412159openalex-snapshot
Three‐body problem periodic orbits with vanishing angular momentum
inferred← citeshttps://doi.org/10.1002/asna.202114006openalex-snapshot
Some properties of lemaitre regularization. II isosceles trajectories and figure‐eight
inferred← citeshttps://doi.org/10.1002/asna.202123869openalex-snapshot
Some properties of Lemaitre regularization: Collinear trajectories
inferred← citeshttps://doi.org/10.1007/978-1-4939-2441-7_14openalex-snapshot
Keplerian Dynamics on the Heisenberg Group and Elsewhere
inferred← citeshttps://doi.org/10.1007/978-3-319-71428-8_2openalex-snapshot
Blow-Up, Homotopy and Existence for Periodic Solutions of the Planar Three-Body Problem
inferred← citeshttps://doi.org/10.1007/s10569-013-9503-xopenalex-snapshot
A symplectic integrator for the symmetry reduced and regularised planar 3-body problem with vanishing angular momentum
inferred← citeshttps://doi.org/10.1007/s10569-022-10108-1openalex-snapshot
Regularized phase-space volume for the three-body problem
inferred← citeshttps://doi.org/10.1007/s10569-023-10144-5openalex-snapshot
Natural dynamical reduction of the three-body problem
inferred← citeshttps://doi.org/10.1007/s10569-025-10262-2openalex-snapshot
Distribution of regularized three-body phase-volume
inferred← citeshttps://doi.org/10.1016/j.cnsns.2026.110762openalex-snapshot
Geodesic billiard dynamics in the parallelogram four-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/10.1063/1.5034627openalex-snapshot
Some solutions of the general three body problem in form space
inferred← citeshttps://doi.org/10.1088/0951-7715/26/6/1565openalex-snapshot
The Lie–Poisson structure of the reduced n-body problem
inferred← citeshttps://doi.org/10.1088/1751-8113/48/26/265205openalex-snapshot
Saari's homographic conjecture for general masses in planar three-body problem under Newton potential and a strong force potential
inferred← citeshttps://doi.org/10.1088/1751-8113/48/6/065202openalex-snapshot
The Lie–Poisson structure of the symmetry reduced regularized n -body problem
inferred← citeshttps://doi.org/10.1134/s0038094624601877openalex-snapshot
The Three-Body Problem in Shape Space
inferred← citeshttps://doi.org/10.1134/s1560354723040081openalex-snapshot
Compactification of the Energy Surfaces for $$n$$ Bodies
inferred← citeshttps://doi.org/10.33915/etd.6689openalex-snapshot
A New Compactification for Celestial Mechanics
inferred← citeshttps://doi.org/10.3842/sigma.2017.021openalex-snapshot
Central Configurations and Mutual Differences
inferred← citeshttps://doi.org/10.3934/dcds.2021015openalex-snapshot
Stability of Broucke's isosceles orbit
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