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Proof of a conjecture of E. Str�mgren

https://doi.org/10.1007/bf01227510
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What this work says

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

inferredcites →https://doi.org/10.1002/cpa.3160110208openalex-snapshot
On the generalization of a theorem of A. Liapounoff
inferredcites →https://doi.org/10.1086/110215openalex-snapshot
A class of E. Stromgren's direct orbits in the restricted problem
inferredcites →https://doi.org/10.1086/110217openalex-snapshot
Orbits in the Copenhagen problem asymptotic at L4, and their genealogy
inferredcites →https://doi.org/10.1086/110235openalex-snapshot
A family of retrograde orbits around the triangular equilibrium points

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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Remarkable Termination Orbits of the Restricted Problem
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Periodic and homoclinic orbits in conservative and reversible systems
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Non Local Spiraling Characteristic Curves
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Homoclinic and Heteroclinic Solutions of the RTBP Joining the Triangular Equilibrium Points
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The Web of Periodic Orbits at L 4
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The generation of spiral characteristics
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Stability transitions for periodic orbits in hamiltonian systems
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Symmetric doubly-asymptotic periodic orbits at collinear equilibria
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Homoclinic period blow-up in reversible and conservative systems
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Some manifolds of periodic orbits in the restricted three-body problem
inferred← citeshttps://doi.org/10.1007/bf01230250openalex-snapshot
On Poincar�'s second species solutions
inferred← citeshttps://doi.org/10.1007/bf01230546openalex-snapshot
Linear analysis of one type of second species solutions
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Homoclinic and heteroclinic solutions in the restricted three-body problem
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A survey of the Hénon-Heiles Hamiltonian with applications to related examples
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Asymptotic and Periodic Orbits Around L3 in the Photogravitational Restricted Three-Body Problem
inferred← citeshttps://doi.org/10.1007/s10509-006-9043-xopenalex-snapshot
Asymptotic Orbits at the Triangular Equilibria in the Photogravitational Restricted Three-Body Problem
inferred← citeshttps://doi.org/10.1007/s10509-012-1118-2openalex-snapshot
Periodic orbits in the restricted four-body problem with two equal masses
inferred← citeshttps://doi.org/10.1007/s10509-016-2943-5openalex-snapshot
Families of periodic orbits in the planar Hill’s four-body problem
inferred← citeshttps://doi.org/10.1007/s10509-024-04329-zopenalex-snapshot
Orbital analysis in the gravitational potential of elongated asteroids
inferred← citeshttps://doi.org/10.1007/s10569-007-9111-8openalex-snapshot
Periodic orbits as centers of stability in the secular 3D planetary three body problem
inferred← citeshttps://doi.org/10.1007/s10569-009-9190-9openalex-snapshot
Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP
inferred← citeshttps://doi.org/10.1007/s10569-013-9498-3openalex-snapshot
On the “blue sky catastrophe” termination in the restricted four-body problem
inferred← citeshttps://doi.org/10.1007/s10569-019-9890-8openalex-snapshot
Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set
inferred← citeshttps://doi.org/10.1007/s10569-019-9893-5openalex-snapshot
Symmetric periodic orbits in the Moulton–Copenhagen problem
inferred← citeshttps://doi.org/10.1007/s10569-020-09977-1openalex-snapshot
Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families
inferred← citeshttps://doi.org/10.1007/s10569-021-10002-2openalex-snapshot
Critical homoclinics in a restricted four-body problem: numerical continuation and center manifold computations
inferred← citeshttps://doi.org/10.1016/0021-8928(87)90099-2openalex-snapshot
On motions asymptotic to triangular points of libration of the restricted circular three-body problem
inferred← citeshttps://doi.org/10.1016/j.asr.2024.10.017openalex-snapshot
Periodic orbits around 216-Kleopatra asteroid modelled by a dipole-segment
inferred← citeshttps://doi.org/10.1016/j.asr.2026.03.036openalex-snapshot
Periodic orbit families around slow-rotating dipole-segment bodies: The case of the asteroid Itokawa
inferred← citeshttps://doi.org/10.1016/j.jde.2018.08.007openalex-snapshot
Chaotic motions in the restricted four body problem via Devaney's saddle-focus homoclinic tangle theorem
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/s0022-0396(02)00114-6openalex-snapshot
The evolution of invariant manifolds in Hamiltonian–Hopf bifurcations
inferred← citeshttps://doi.org/10.1023/a:1008387507657openalex-snapshot
The Evolution of the Stable and Unstable Manifold of an Equilibrium Point
inferred← citeshttps://doi.org/10.1023/a:1020124323302openalex-snapshot
The Web of Periodic Orbits at L 4
inferred← citeshttps://doi.org/10.1023/b:cele.0000038608.06392.e0openalex-snapshot
Families of Periodic Orbits Emanating From Homoclinic Orbits in the Restricted Problem of Three Bodies
inferred← citeshttps://doi.org/10.1088/0034-4885/77/6/065901openalex-snapshot
The three-body problem
inferred← citeshttps://doi.org/10.1088/0305-4470/39/50/001openalex-snapshot
Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2
inferred← citeshttps://doi.org/10.1088/0951-7715/19/9/004openalex-snapshot
Invariant manifolds ofL3and horseshoe motion in the restricted three-body problem
inferred← citeshttps://doi.org/10.1090/s0002-9947-1976-0402815-3openalex-snapshot
Reversible Diffeomorphisms and Flows
inferred← citeshttps://doi.org/10.1111/j.1749-6632.1979.tb29461.xopenalex-snapshot
HOMOCLINIC ORBITS TO HYPERBOLIC EQUILIBRIA*
inferred← citeshttps://doi.org/10.1134/s1560354724590039openalex-snapshot
Dynamics of Slow-Fast Hamiltonian Systems: The Saddle–Focus Case
inferred← citeshttps://doi.org/10.1142/s0218127407018671openalex-snapshot
ELEMENTAL PERIODIC ORBITS ASSOCIATED WITH THE LIBRATION POINTS IN THE CIRCULAR RESTRICTED 3-BODY PROBLEM
inferred← citeshttps://doi.org/10.3847/1538-3881/abf353openalex-snapshot
Symmetric Periodic Orbits in the Dipole-segment Problem for Two Equal Masses
inferred← citeshttps://doi.org/10.48550/arxiv.1808.03837openalex-snapshot
Homoclinic dynamics in a restricted four body problem
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