Results on equality of masses for choreographic solutions of n-body problems (Q5141051)

scientific article; zbMATH DE number 7287244

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English	Results on equality of masses for choreographic solutions of <i>n</i>-body problems	scientific article; zbMATH DE number 7287244

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instance of

scholarly article

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title

Results on equality of masses for choreographic solutions of n-body problems (English)

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author

Pieter Tibboel

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published in

Journal of Mathematical Physics

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publication date

17 December 2020

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full work available at URL

https://arxiv.org/abs/2003.10694

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zbMATH Keywords

equality of masses

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choreographic solutions

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$n$-body problems

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MaRDI profile type

MaRDI publication profile

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cites work

Q4174811

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Bifurcations and equilibria in the extended $N$-body ring problem

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Homographic solutions in the planar $n+1$ body problem with quasi-homogeneous potentials

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The restricted two-body problem in constant curvature spaces

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Two-body problem on a sphere. Reduction, stochasticity, periodic orbits

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On the anisotropic Manev problem

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Simple Choreographic Motions of N Bodies: A Preliminary Study

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Uniqueness results for co-circular central configurations for power-law potentials

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Equilibrium points and central configurations for the Lennard-Jones 2- and 3-body problems

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A remarkable periodic solution of the three-body problem in the case of equal masses

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The global flow of the Manev problem

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The planar isosceles problem for Maneff’s gravitational law

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Regularization of partial collisions in the $N$-body problem

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Near-collision dynamics for particle systems with quasihomogeneous potentials

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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 in the 3-dimensional curved n-body problem

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

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The non-existence of centre-of-mass and linear-momentum integrals in the curved N-body problem

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

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The Classical N-body Problem in the Context of Curved Space

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Rotopulsators of the curved $N$-body problem

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Phase-space structure and regularization of Manev-type problems

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

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Central configurations and total collisions for quasihomogeneous $n$-body problems

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

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Central configurations of the curved $N$-body problem

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Rectangular orbits of the curved 4-body problem

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Figure-eight choreographies of the equal mass three-body problem with Lennard-Jones-type potentials

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Central configurations with a quasihomogeneous potential function

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A planar case of the $n+1$ body problem: The ''ring'' problem

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Zero-velocity surfaces in the three-dimensional ring problem of $N+1$ bodies.

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On Maxwell's (n+1)-Body Problem in the Manev-Type Field and on the Associated Restricted Problem

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CLASSIFICATION OF SYMMETRY GROUPS FOR PLANAR -BODY CHOREOGRAPHIES

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Computing hyperbolic choreographies

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Computing Planar and Spherical Choreographies

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Braids in classical dynamics

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On the use and abuse of Newton's second law for variable mass problems

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Central configurations and homographic solutions for the quasihomogeneous N-body problem

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Lagrange-Pizzetti theorem for the quasihomogeneous N-body problem

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Q4718287

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Triple collision in the quasi-homogeneous collinear three-body problem

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Q4408029

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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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Existence of a lower bound for the distance between point masses of relative equilibria for generalised quasi-homogeneous n-body problems and the curved n-body problem

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Finiteness of polygonal relative equilibria for generalised quasi-homogeneous $n$-body problems and $n$-body problems in spaces of constant curvature

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Polygonal rotopulsators of the curved n-body problem

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Circular non-collision orbits for a large class of $n$-body problems

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Q5780526

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Simple choreographies of the planar Newtonian $N$-body problem

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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

1476.70043

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DOI

10.1063/1.5142237

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5141051

Results on equality of masses for choreographic solutions of <i>n</i>-body problems (Q5141051)

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Identifiers

Sitelinks

Mathematics(1 entry)