Remarks on the inverse problem of the collinear central configurations in the N-body problem

For a fixed configuration in the collinear N-body problem, the existence of the central configurations is determined by a system of linear equations, which in turn is determined by certain Pfaffians for even or odd N in literatures. In this short note, we prove that the Pfaffians of the associate ma...

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Bibliographic Details
Main Author: Zhifu Xie
Format: Article
Language:English
Published: AIMS Press 2022-05-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022130?viewType=HTML