Pseudo periodic orbits of the planar collision restricted 3-body problem in rotating coordinates

Jaume Llibre; Luci Any Roberto

doi:10.1016/j.na.2008.10.056

Pseudo periodic orbits of the planar collision restricted 3-body problem in rotating coordinates

Jaume Llibre, Luci Any Roberto

Departament de Matemàtiques

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Resum

By using the continuation method of Poincaré, we characterize the periodic circular orbits and the symmetric periodic elliptic orbits that can be prolonged from the planar Kepler problem in rotating coordinates to pseudo periodic orbits of the planar restricted 3-body problem in rotating coordinates with the two primaries moving in an elliptic collision orbit. © 2008 Elsevier Ltd. All rights reserved.

Idioma original	Anglès
Pàgines (de-a)	58-65
Revista	Nonlinear Analysis, Theory, Methods and Applications
Volum	71
Número	1-2
DOIs	https://doi.org/10.1016/j.na.2008.10.056
Estat de la publicació	Publicada - 1 de jul. 2009

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10.1016/j.na.2008.10.056

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@article{64685d9ac6f346c798eb305cdbecd7e9,

title = "Pseudo periodic orbits of the planar collision restricted 3-body problem in rotating coordinates",

abstract = "By using the continuation method of Poincar{\'e}, we characterize the periodic circular orbits and the symmetric periodic elliptic orbits that can be prolonged from the planar Kepler problem in rotating coordinates to pseudo periodic orbits of the planar restricted 3-body problem in rotating coordinates with the two primaries moving in an elliptic collision orbit. {\textcopyright} 2008 Elsevier Ltd. All rights reserved.",

keywords = "Circular orbit, Collision restricted 3-body problem, Continuation method, Elliptic orbit, Periodic orbit, Symmetric periodic orbit",

author = "Jaume Llibre and Roberto, {Luci Any}",

year = "2009",

month = jul,

day = "1",

doi = "10.1016/j.na.2008.10.056",

language = "English",

volume = "71",

pages = "58--65",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

number = "1-2",

}

TY - JOUR

T1 - Pseudo periodic orbits of the planar collision restricted 3-body problem in rotating coordinates

AU - Llibre, Jaume

AU - Roberto, Luci Any

PY - 2009/7/1

Y1 - 2009/7/1

N2 - By using the continuation method of Poincaré, we characterize the periodic circular orbits and the symmetric periodic elliptic orbits that can be prolonged from the planar Kepler problem in rotating coordinates to pseudo periodic orbits of the planar restricted 3-body problem in rotating coordinates with the two primaries moving in an elliptic collision orbit. © 2008 Elsevier Ltd. All rights reserved.

AB - By using the continuation method of Poincaré, we characterize the periodic circular orbits and the symmetric periodic elliptic orbits that can be prolonged from the planar Kepler problem in rotating coordinates to pseudo periodic orbits of the planar restricted 3-body problem in rotating coordinates with the two primaries moving in an elliptic collision orbit. © 2008 Elsevier Ltd. All rights reserved.

KW - Circular orbit

KW - Collision restricted 3-body problem

KW - Continuation method

KW - Elliptic orbit

KW - Periodic orbit

KW - Symmetric periodic orbit

U2 - 10.1016/j.na.2008.10.056

DO - 10.1016/j.na.2008.10.056

M3 - Article

SN - 0362-546X

VL - 71

SP - 58

EP - 65

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 1-2

ER -

Pseudo periodic orbits of the planar collision restricted 3-body problem in rotating coordinates

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