Relative Equilibria in curved restricted 4-body problems (Q4633509)

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scientific article; zbMATH DE number 7050459

Language	Label	Description	Also known as
English	Relative Equilibria in curved restricted 4-body problems	scientific article; zbMATH DE number 7050459

Statements

scholarly article

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Sawsan Alhowaity

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Ernesto Pérez-Chavela

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Florin Nicolae Diacu

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publication date

3 May 2019

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full work available at URL

https://arxiv.org/abs/1801.02126

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https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/relative-equilibria-in-curved-restricted-4body-problems/72A5D665B27D7AA6AAB80386961F6D41

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zbMATH Keywords

\(N\)-body problem

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relative equilibria

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celestial mechanics

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.CA

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Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2

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

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

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Rotopulsators of the curved \(N\)-body problem

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

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Homographic solutions of the curved 3-body problem

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An intrinsic approach in the curved \(n\)-body problem: the negative curvature case

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

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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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Rectangular orbits of the curved 4-body problem

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Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2

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Kepler's problem in constant curvature 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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Relative equilibria of the restricted three-body problem in curved spaces

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A new model of unimodular-affinely homogeneous surfaces

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

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Nonintegrability of the two-body problem in constant curvature spaces

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Polygonal homographic orbits in spaces of constant curvature

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4633509

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