Spatial twisted central configuration for Newtonian ($ 2N $+1)-body problem-Reference-Cited by-同舟云学术

Spatial twisted central configuration for Newtonian ($ 2N $+1)-body problem

Published:2024 Issue:2 Volume:16 Page:388-415
ISSN:2836-3310
Container-title:Communications in Analysis and Mechanics
language:
Short-container-title:CAM

Author:

Ding Liang¹²,Wang Jinrong¹,Wei Jinlong³

Affiliation:

1. Department of Mathematics, Guizhou University, Guiyang, 550025, P.R. China

2. School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, 550025, P.R. China

3. School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, 430073, P.R. China

Abstract

<abstract><p>For a spatial twisted central configuration of the Newtonian ($ 2N $+1)-body problem where $ 2N $ masses are at the vertices of two paralleled regular $ N $-polygons with distance $ h > 0 $, and the twist angle between the two regular $ N $-polygons is $ 0\leq\theta < 2\pi $, we study the sufficient and necessary conditions for the existence of the spatial twisted central configuration. Additionally, we obtain the uniqueness of the spatial twisted central configuration.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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