Results 261 to 270 of about 6,217,741 (298)

Many-Particle Configurations in a Central Field

Physical Review, 1954
Closed formulas are obtained for the fractional parentage coefficients of $j\ensuremath{-}j$ coupled configurations of three and four equivalent particles. In states of low seniority, these formulas can be used to simplify the calculation of familiar types of matrix elements. Some extension is made to the study of more complex configurations.
Schwartz, C., De-Shalit, A.
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Regular polygon central configurations of the N-body problem with general homogeneous potential

Nonlinearity, 2019
In 1985, Perko and Walter showed that masses positioned at the vertices of a regular polygon forms a central configuration if and only if the masses are equal for the classical Newtonian N-body problem.
Zhiqiang Wang
semanticscholar   +1 more source

Bifurcation of a central configuration

Celestial Mechanics, 1987
This paper presents a relatively simple example of a bifurcation of a central configuration in the four body problem. There have been several indications in the literature that bifurcations can occur, but no one has carried the analysis to completion. Our goal is to give a simple proof that the bifurcation that they observe actually occurs in the full ...
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The central drop configurations

Celestial Mechanics, 1985
This paper deals with the investigation of central configurations consisting of a point body, a homogeneous sphere and some drops of homogeneous ideal fluid. The existence of such central configurations, as well as the stability of the drops in linear approximation, has been proved by using the virial method [\textit{S.
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On the symmetric central configurations for the planar 1+5-body problem with small arbitrary masses

Celestial mechanics & dynamical astronomy, 2022
X. Su, C. Deng
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Counting Central Configurations at the Bifurcation Points

Acta Applicandae Mathematicae, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Central Configurations, Super Central Configurations, and Beyond in the n-Body Problem

2012
In this survey, we review our recent understandings on central configurations, super central configurations, and their applications. At the end, some challenging problems and further possible extensions are presented.
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Central Configurations of the 5-Body Problem with Four Infinitesimal Particles

Few-body systems, 2020
Jian Chen, Mingfang Yang
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On Wintner’s Conjecture About Central Configurations

2005
According to Wintner, the study of central configurations in celestial mechanics may be reduced to an extremality problem. Wintner's Conjecture amounts to saying that the corresponding extremal zeroes for each fixed number n of different masses is finite.
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Brain and other central nervous system tumor statistics, 2021

Ca-A Cancer Journal for Clinicians, 2021
, Jill Barnholtz-Sloan, Carol Kruchko
exaly