The Sitnikov problem for several primary bodies configurations

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 describ...

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Detalles Bibliográficos
Publicado: 2018
Materias:
Central configurations
n-Body
Periodic solutions
Sitnikov
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09232958_v130_n7_p_Beltritti
http://hdl.handle.net/20.500.12110/paper_09232958_v130_n7_p_Beltritti
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_09232958_v130_n7_p_Beltritti
record_format dspace
spelling paper:paper_09232958_v130_n7_p_Beltritti2023-06-08T15:51:00Z The Sitnikov problem for several primary bodies configurations Central configurations n-Body Periodic solutions Sitnikov 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. © 2018, Springer Nature B.V. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09232958_v130_n7_p_Beltritti http://hdl.handle.net/20.500.12110/paper_09232958_v130_n7_p_Beltritti
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Central configurations
n-Body
Periodic solutions
Sitnikov
spellingShingle Central configurations
n-Body
Periodic solutions
Sitnikov
The Sitnikov problem for several primary bodies configurations
topic_facet Central configurations
n-Body
Periodic solutions
Sitnikov
description 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. © 2018, Springer Nature B.V.
title The Sitnikov problem for several primary bodies configurations
title_short The Sitnikov problem for several primary bodies configurations
title_full The Sitnikov problem for several primary bodies configurations
title_fullStr The Sitnikov problem for several primary bodies configurations
title_full_unstemmed The Sitnikov problem for several primary bodies configurations
title_sort sitnikov problem for several primary bodies configurations
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09232958_v130_n7_p_Beltritti
http://hdl.handle.net/20.500.12110/paper_09232958_v130_n7_p_Beltritti
_version_ 1768542226638438400

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