New periodic solutions for 3-body problems

Shiqing Zhang; Qing Zhou; Yurong Liu

doi:10.1023/B:CELE.0000023407.67793.a1

New periodic solutions for 3-body problems

Shiqing Zhang^*, Qing Zhou, Yurong Liu

^*Corresponding author for this work

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

12 Scopus citations

Abstract

For Newtonian 3-body problems in ℝ², we prove the existence of new symmetric noncollision periodic solutions with some fixed winding numbers and masses.

Original language	English
Pages (from-to)	365-378
Number of pages	14
Journal	Celestial Mechanics and Dynamical Astronomy
Volume	88
Issue number	4
DOIs	https://doi.org/10.1023/B:CELE.0000023407.67793.a1
State	Published - Apr 2004
Externally published	Yes

Keywords

3-body problems
Noncollision periodic solutions
Variational methods

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10.1023/B:CELE.0000023407.67793.a1

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title = "New periodic solutions for 3-body problems",

abstract = "For Newtonian 3-body problems in ℝ2, we prove the existence of new symmetric noncollision periodic solutions with some fixed winding numbers and masses.",

keywords = "3-body problems, Noncollision periodic solutions, Variational methods",

author = "Shiqing Zhang and Qing Zhou and Yurong Liu",

year = "2004",

month = apr,

doi = "10.1023/B:CELE.0000023407.67793.a1",

language = "英语",

volume = "88",

pages = "365--378",

journal = "Celestial Mechanics and Dynamical Astronomy",

issn = "0923-2958",

publisher = "Springer Netherlands",

number = "4",

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TY - JOUR

T1 - New periodic solutions for 3-body problems

AU - Zhang, Shiqing

AU - Zhou, Qing

AU - Liu, Yurong

PY - 2004/4

Y1 - 2004/4

N2 - For Newtonian 3-body problems in ℝ2, we prove the existence of new symmetric noncollision periodic solutions with some fixed winding numbers and masses.

AB - For Newtonian 3-body problems in ℝ2, we prove the existence of new symmetric noncollision periodic solutions with some fixed winding numbers and masses.

KW - 3-body problems

KW - Noncollision periodic solutions

KW - Variational methods

UR - https://www.scopus.com/pages/publications/4043048704

U2 - 10.1023/B:CELE.0000023407.67793.a1

DO - 10.1023/B:CELE.0000023407.67793.a1

M3 - 文章

AN - SCOPUS:4043048704

SN - 0923-2958

VL - 88

SP - 365

EP - 378

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

IS - 4

ER -

New periodic solutions for 3-body problems

Abstract

Keywords

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