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
Autores principales:	Beltritti, G., Mazzone, F., Oviedo, M.
Formato:	JOUR
Materias:	Central configurations n-Body Periodic solutions Sitnikov
Acceso en línea:	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	todo:paper_09232958_v130_n7_p_Beltritti
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spelling	todo:paper_09232958_v130_n7_p_Beltritti2023-10-03T15:45:54Z The Sitnikov problem for several primary bodies configurations Beltritti, G. Mazzone, F. Oviedo, M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Beltritti, G. Mazzone, F. Oviedo, M. 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.
format	JOUR
author	Beltritti, G. Mazzone, F. Oviedo, M.
author_facet	Beltritti, G. Mazzone, F. Oviedo, M.
author_sort	Beltritti, G.
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
url	http://hdl.handle.net/20.500.12110/paper_09232958_v130_n7_p_Beltritti
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The Sitnikov problem for several primary bodies configurations

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