A minimizing property of eulerian solutions

Shiqing Zhang; Qing Zhou

doi:10.1007/s10569-004-0418-4

A minimizing property of eulerian solutions

Shiqing Zhang, Qing Zhou

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

7 Scopus citations

Abstract

In this paper, we prove that the elliptical solutions and collision ejection solutions with the Eulerian collinear configuration for planar 3-body problems are the variational minimizers of the Lagrangian action restricted on a suitable loop space.

Original language	English
Pages (from-to)	239-243
Number of pages	5
Journal	Celestial Mechanics and Dynamical Astronomy
Volume	90
Issue number	3-4
DOIs	https://doi.org/10.1007/s10569-004-0418-4
State	Published - Sep 2004
Externally published	Yes

Keywords

3-body problems
Eulerian solutions
Lagrangian action

Access to Document

10.1007/s10569-004-0418-4

Cite this

@article{15d1b4f95e1d4415b8802604959646fd,

title = "A minimizing property of eulerian solutions",

abstract = "In this paper, we prove that the elliptical solutions and collision ejection solutions with the Eulerian collinear configuration for planar 3-body problems are the variational minimizers of the Lagrangian action restricted on a suitable loop space.",

keywords = "3-body problems, Eulerian solutions, Lagrangian action",

author = "Shiqing Zhang and Qing Zhou",

year = "2004",

month = sep,

doi = "10.1007/s10569-004-0418-4",

language = "英语",

volume = "90",

pages = "239--243",

journal = "Celestial Mechanics and Dynamical Astronomy",

issn = "0923-2958",

publisher = "Springer Netherlands",

number = "3-4",

}

TY - JOUR

T1 - A minimizing property of eulerian solutions

AU - Zhang, Shiqing

AU - Zhou, Qing

PY - 2004/9

Y1 - 2004/9

N2 - In this paper, we prove that the elliptical solutions and collision ejection solutions with the Eulerian collinear configuration for planar 3-body problems are the variational minimizers of the Lagrangian action restricted on a suitable loop space.

AB - In this paper, we prove that the elliptical solutions and collision ejection solutions with the Eulerian collinear configuration for planar 3-body problems are the variational minimizers of the Lagrangian action restricted on a suitable loop space.

KW - 3-body problems

KW - Eulerian solutions

KW - Lagrangian action

UR - https://www.scopus.com/pages/publications/12744252882

U2 - 10.1007/s10569-004-0418-4

DO - 10.1007/s10569-004-0418-4

M3 - 文章

AN - SCOPUS:12744252882

SN - 0923-2958

VL - 90

SP - 239

EP - 243

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

IS - 3-4

ER -

A minimizing property of eulerian solutions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this