GLOBAL BIFURCATIONS FROM THE CENTER OF MASS IN THE SITNIKOV PROBLEM

Rafael Ortega; Andres Rivera

doi:10.3934/DCDSB.2010.14.719

GLOBAL BIFURCATIONS FROM THE CENTER OF MASS IN THE SITNIKOV PROBLEM

Rafael Ortega, Andres Rivera

Producción: Contribución a una revista › Artículo › revisión exhaustiva

18 Citas (Scopus)

Resumen

The Sitnikov problem is a restricted three body problem where the eccentricity of the primaries acts as a parameter. We find families of symmetric periodic solutions bifurcating from the equilibrium at the center of mass. These families admitaglobal continuation up to excentricity e = 1. The same techniques are applicable to the families obtained by continuation from the circular problem (e = 0). They lead to a refinement of a result obtained by J.Llibre and R.Ortega.

Idioma original	Indefinido/desconocido
Publicación	Discrete and Continuous Dynamical Systems - Series B
DOI	https://doi.org/10.3934/DCDSB.2010.14.719
Estado	Publicada - 2010

Palabras clave

3-body problem, Sitnikov problem, periodic orbits,bifurcations, global continuation.

Acceder al documento

10.3934/DCDSB.2010.14.719

Otros archivos y enlaces

https://publons.com/wos-op/publon/33226259/

Citar esto

@article{5c0d128ad2cf4079bb5e462d1e63249b,

title = "GLOBAL BIFURCATIONS FROM THE CENTER OF MASS IN THE SITNIKOV PROBLEM",

abstract = "The Sitnikov problem is a restricted three body problem where the eccentricity of the primaries acts as a parameter. We find families of symmetric periodic solutions bifurcating from the equilibrium at the center of mass. These families admitaglobal continuation up to excentricity e = 1. The same techniques are applicable to the families obtained by continuation from the circular problem (e = 0). They lead to a refinement of a result obtained by J.Llibre and R.Ortega.",

keywords = "3-body problem, Sitnikov problem, periodic orbits,bifurcations, global continuation.",

author = "Rafael Ortega and Andres Rivera",

year = "2010",

doi = "10.3934/DCDSB.2010.14.719",

language = "Indefinido/desconocido",

journal = "Discrete and Continuous Dynamical Systems - Series B",

publisher = "American Institute of Mathematical Sciences",

}

TY - JOUR

T1 - GLOBAL BIFURCATIONS FROM THE CENTER OF MASS IN THE SITNIKOV PROBLEM

AU - Ortega, Rafael

AU - Rivera, Andres

PY - 2010

Y1 - 2010

N2 - The Sitnikov problem is a restricted three body problem where the eccentricity of the primaries acts as a parameter. We find families of symmetric periodic solutions bifurcating from the equilibrium at the center of mass. These families admitaglobal continuation up to excentricity e = 1. The same techniques are applicable to the families obtained by continuation from the circular problem (e = 0). They lead to a refinement of a result obtained by J.Llibre and R.Ortega.

AB - The Sitnikov problem is a restricted three body problem where the eccentricity of the primaries acts as a parameter. We find families of symmetric periodic solutions bifurcating from the equilibrium at the center of mass. These families admitaglobal continuation up to excentricity e = 1. The same techniques are applicable to the families obtained by continuation from the circular problem (e = 0). They lead to a refinement of a result obtained by J.Llibre and R.Ortega.

KW - 3-body problem, Sitnikov problem, periodic orbits,bifurcations, global continuation.

UR - https://publons.com/wos-op/publon/33226259/

U2 - 10.3934/DCDSB.2010.14.719

DO - 10.3934/DCDSB.2010.14.719

M3 - Artículo

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

ER -