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Finiteness of relative equilibria in the planar generalized N-body problem with fixed subconfigurations

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Finiteness of relative equilibria in the planar generalized N-body problem with fixed subconfigurations. / Hampton, Marshall; Jensen, Anders Nedergaard.

I: Journal of geometric mechanics, Bind 7, Nr. 1, 2015, s. 35-42.

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

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Hampton, Marshall ; Jensen, Anders Nedergaard. / Finiteness of relative equilibria in the planar generalized N-body problem with fixed subconfigurations. I: Journal of geometric mechanics. 2015 ; Bind 7, Nr. 1. s. 35-42.

Bibtex

@article{d6226bbef31a46d389940cf71daf34b4,
title = "Finiteness of relative equilibria in the planar generalized N-body problem with fixed subconfigurations",
abstract = "We prove that a fixed configuration of N - 1 masses in the plane can be extended to a central configuration of N masses by adding a specified additional mass only in finitely many ways. This holds for a family of potential functions including the Newtonian gravitational case and the classical planar point vortex model.",
keywords = "N-body problem, relative equilibria, vortices, celestial mechanics, central configurations, CENTRAL CONFIGURATIONS, BODIES",
author = "Marshall Hampton and Jensen, {Anders Nedergaard}",
year = "2015",
doi = "10.3934/jgm.2015.7.35",
language = "English",
volume = "7",
pages = "35--42",
journal = "Journal of geometric mechanics",
issn = "1941-4889",
publisher = "AMER INST MATHEMATICAL SCIENCES",
number = "1",

}

RIS

TY - JOUR

T1 - Finiteness of relative equilibria in the planar generalized N-body problem with fixed subconfigurations

AU - Hampton, Marshall

AU - Jensen, Anders Nedergaard

PY - 2015

Y1 - 2015

N2 - We prove that a fixed configuration of N - 1 masses in the plane can be extended to a central configuration of N masses by adding a specified additional mass only in finitely many ways. This holds for a family of potential functions including the Newtonian gravitational case and the classical planar point vortex model.

AB - We prove that a fixed configuration of N - 1 masses in the plane can be extended to a central configuration of N masses by adding a specified additional mass only in finitely many ways. This holds for a family of potential functions including the Newtonian gravitational case and the classical planar point vortex model.

KW - N-body problem

KW - relative equilibria

KW - vortices

KW - celestial mechanics

KW - central configurations

KW - CENTRAL CONFIGURATIONS

KW - BODIES

U2 - 10.3934/jgm.2015.7.35

DO - 10.3934/jgm.2015.7.35

M3 - Journal article

VL - 7

SP - 35

EP - 42

JO - Journal of geometric mechanics

JF - Journal of geometric mechanics

SN - 1941-4889

IS - 1

ER -