Periodic orbits for the planar newtonian three-body problem coming from the elliptic restricted three-body problems

Jaume Llibre; Donald G. Saari

doi:10.1090/S0002-9947-1995-1297534-X

Periodic orbits for the planar newtonian three-body problem coming from the elliptic restricted three-body problems

Jaume Llibre, Donald G. Saari

Departament de Matemàtiques

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Resum

Through the introduction of a new coordinate system followed by a Poincaré compactification, a new relationship is developed to connect the planar three-body problem with the various planar restricted three-body systems. This framework is further used to develop new conditions for the continuation of symmetric periodic orbits from elliptic restricted systems to the full planar threebody problem. © 1995 American Mathematical Society.

Idioma original	Anglès
Pàgines (de-a)	3017-3030
Revista	Transactions of the American Mathematical Society
Volum	347
Número	8
DOIs	https://doi.org/10.1090/S0002-9947-1995-1297534-X
Estat de la publicació	Publicada - 1 de gen. 1995

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10.1090/S0002-9947-1995-1297534-X

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@article{8aa0e172e94a4c8d93de0e68a761bdca,

title = "Periodic orbits for the planar newtonian three-body problem coming from the elliptic restricted three-body problems",

abstract = "Through the introduction of a new coordinate system followed by a Poincar{\'e} compactification, a new relationship is developed to connect the planar three-body problem with the various planar restricted three-body systems. This framework is further used to develop new conditions for the continuation of symmetric periodic orbits from elliptic restricted systems to the full planar threebody problem. {\textcopyright} 1995 American Mathematical Society.",

keywords = "Periodic orbits, Restricted problem, Three-body problem",

author = "Jaume Llibre and Saari, {Donald G.}",

year = "1995",

month = jan,

day = "1",

doi = "10.1090/S0002-9947-1995-1297534-X",

language = "English",

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pages = "3017--3030",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

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TY - JOUR

T1 - Periodic orbits for the planar newtonian three-body problem coming from the elliptic restricted three-body problems

AU - Llibre, Jaume

AU - Saari, Donald G.

PY - 1995/1/1

Y1 - 1995/1/1

N2 - Through the introduction of a new coordinate system followed by a Poincaré compactification, a new relationship is developed to connect the planar three-body problem with the various planar restricted three-body systems. This framework is further used to develop new conditions for the continuation of symmetric periodic orbits from elliptic restricted systems to the full planar threebody problem. © 1995 American Mathematical Society.

AB - Through the introduction of a new coordinate system followed by a Poincaré compactification, a new relationship is developed to connect the planar three-body problem with the various planar restricted three-body systems. This framework is further used to develop new conditions for the continuation of symmetric periodic orbits from elliptic restricted systems to the full planar threebody problem. © 1995 American Mathematical Society.

KW - Periodic orbits

KW - Restricted problem

KW - Three-body problem

U2 - 10.1090/S0002-9947-1995-1297534-X

DO - 10.1090/S0002-9947-1995-1297534-X

M3 - Article

SN - 0002-9947

VL - 347

SP - 3017

EP - 3030

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 8

ER -

Periodic orbits for the planar newtonian three-body problem coming from the elliptic restricted three-body problems

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