Central configurations of the curved $N$-body problem (Q1631306)

scientific article

Language	Label	Description	Also known as
English	Central configurations of the curved $N$-body problem	scientific article

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instance of

scholarly article

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title

Central configurations of the curved $N$-body problem (English)

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Journal of Nonlinear Science

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publication date

6 December 2018

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full work available at URL

https://arxiv.org/abs/1603.03342

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zbMATH Keywords

celestial mechanics

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curved $N$-body problem

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space of constant curvature

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central configurations

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relative equilibria

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Wintner-Smale conjecture

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geodesic configurations

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continuum of central configurations

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MaRDI profile type

MaRDI publication profile

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cites work

Finiteness of central configurations of five bodies in the plane

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Q4798535

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Q4720067

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Stability of fixed points and associated relative equilibria of the 3-body problem on ${\mathbb {S}}^1$ and ${\mathbb {S}}^2$

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Bifurcations of the Lagrangian orbits from the classical to the curved 3-body problem

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The Classical <i>N</i>-body Problem in the Context of Curved Space

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On the singularities of the curved $n$-body problem

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Polygonal homographic orbits of the curved $n$-body problem

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Relative equilibria of the curved $N$-body problem.

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The curved $N$-body problem: risks and rewards

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Rotopulsators of the curved $N$-body problem

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Homographic solutions of the curved 3-body problem

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All the Lagrangian relative equilibria of the curved 3-body problem have equal masses

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Rectangular orbits of the curved 4-body problem

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Saari’s conjecture for the collinear $n$-body problem

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The $n$-body problem in spaces of constant curvature. II: Singularities

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An intrinsic approach in the curved $n$-body problem: the negative curvature case

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On the stability of tetrahedral relative equilibria in the positively curved 4-body problem

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Differential Topology

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Libration points in spaces $S^2$ and $L^2$

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Kepler's problem in constant curvature spaces

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Q4249020

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Relative equilibria of the restricted three-body problem in curved spaces

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On the stability of the Lagrangian homographic solutions in a curved three-body problem on $\mathbb{S}^2$

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Finiteness of relative equilibria of the four-body problem

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Computing Planar and Spherical Choreographies

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An intrinsic approach in the curved $n$-body problem. The positive curvature case

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A continuum of relative equilibria in the five-body problem

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Q3023963

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On the role and the properties ofn body central configurations

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Nonintegrability of the two-body problem in constant curvature spaces

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Topology and mechanics. I

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Topology and mechanics. II: The planar $n$-body problem

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Mathematical problems for the next century

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Polygonal homographic orbits in spaces of constant curvature

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Existence of a class of rotopulsators

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Existence of a lower bound for the distance between point masses of relative equilibria in spaces of constant curvature

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Q5803187

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Eulerian relative equilibria of the curved 3-body problems in 𝐒²

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Three-dimensional central configurations in ℍ3 and 𝕊3

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Identifiers

zbMATH Open document ID

1430.70041

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Mathematics Subject Classification ID

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10.1007/S00332-018-9473-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:1631306

Central configurations of the curved \(N\)-body problem (Q1631306)

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Identifiers

Sitelinks

Mathematics(1 entry)