Rose solutions with three petals for planar 4-body problems

Chun Hua Deng; Shi Qing Zhang; Qing Zhou

doi:10.1007/s11425-010-4021-8

Rose solutions with three petals for planar 4-body problems

Chun Hua Deng
, Shi Qing Zhang
, Qing Zhou

School of Mathematical Sciences

Sichuan University
Huaiyin Institute of Technology

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

For planar Newtonian 4-body problems with equal masses, we use variational methods to prove the existence of a non-collision periodic choreography solution such that all bodies move on a rose-type curve with three petals.

Original language	English
Pages (from-to)	3085-3094
Number of pages	10
Journal	Science China Mathematics
Volume	53
Issue number	12
DOIs	https://doi.org/10.1007/s11425-010-4021-8
State	Published - Dec 2010

Keywords

4-body problems with Newtonian potentials
Rose solutions with three petals
Variational minimization methods
Winding numbers

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10.1007/s11425-010-4021-8

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title = "Rose solutions with three petals for planar 4-body problems",

abstract = "For planar Newtonian 4-body problems with equal masses, we use variational methods to prove the existence of a non-collision periodic choreography solution such that all bodies move on a rose-type curve with three petals.",

keywords = "4-body problems with Newtonian potentials, Rose solutions with three petals, Variational minimization methods, Winding numbers",

author = "Deng, \{Chun Hua\} and Zhang, \{Shi Qing\} and Qing Zhou",

year = "2010",

month = dec,

doi = "10.1007/s11425-010-4021-8",

language = "英语",

volume = "53",

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journal = "Science China Mathematics",

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T1 - Rose solutions with three petals for planar 4-body problems

AU - Deng, Chun Hua

AU - Zhang, Shi Qing

AU - Zhou, Qing

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N2 - For planar Newtonian 4-body problems with equal masses, we use variational methods to prove the existence of a non-collision periodic choreography solution such that all bodies move on a rose-type curve with three petals.

AB - For planar Newtonian 4-body problems with equal masses, we use variational methods to prove the existence of a non-collision periodic choreography solution such that all bodies move on a rose-type curve with three petals.

KW - 4-body problems with Newtonian potentials

KW - Rose solutions with three petals

KW - Variational minimization methods

KW - Winding numbers

UR - https://www.scopus.com/pages/publications/78650307859

U2 - 10.1007/s11425-010-4021-8

DO - 10.1007/s11425-010-4021-8

M3 - 文章

AN - SCOPUS:78650307859

SN - 1674-7283

VL - 53

SP - 3085

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JO - Science China Mathematics

JF - Science China Mathematics

IS - 12

ER -

Rose solutions with three petals for planar 4-body problems

Abstract

Keywords

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