Artículo
The Sitnikov problem for several primary bodies configurations
Fecha de publicación:
07/2018
Editorial:
Springer
Revista:
Celestial Mechanics & Dynamical Astronomy
ISSN:
0923-2958
e-ISSN:
1572-9478
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this paper we address an n+ 1 -body gravitational problem governed by the Newton’s laws, where n primary bodies orbit on a plane Π and an additional massless particle moves on the perpendicular line to Π passing through the center of mass of the primary bodies. We find a condition for the described configuration to be possible. In the case when the primaries are in a rigid motion, we classify all the motions of the massless particle. We study the situation when the massless particle has a periodic motion with the same minimal period as the primary bodies. We show that this fact is related to the existence of a certain pyramidal central configuration.
Palabras clave:
CENTRAL CONFIGURATIONS
,
N-BODY
,
PERIODIC SOLUTIONS
,
SITNIKOV
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(CCT - CORDOBA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Beltritti, Gastón; Mazzone, Fernando Dario; Oviedo, Martina Guadalupe; The Sitnikov problem for several primary bodies configurations; Springer; Celestial Mechanics & Dynamical Astronomy; 130; 7; 7-2018; 1-17
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