The Sitnikov problem for several primary bodies configurations

Autores
Beltritti, Gastón; Mazzone, Fernando Dario; Oviedo, Martina Guadalupe
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fil: Beltritti, Gastón. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Fisicoquímicas y Naturales. Departamento de Matemática; Argentina
Fil: Mazzone, Fernando Dario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Fisicoquímicas y Naturales. Departamento de Matemática; Argentina
Fil: Oviedo, Martina Guadalupe. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Materia
CENTRAL CONFIGURATIONS
N-BODY
PERIODIC SOLUTIONS
SITNIKOV
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/164412
Acceder
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network_name_str CONICET Digital (CONICET)
spelling The Sitnikov problem for several primary bodies configurationsBeltritti, GastónMazzone, Fernando DarioOviedo, Martina GuadalupeCENTRAL CONFIGURATIONSN-BODYPERIODIC SOLUTIONSSITNIKOVhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In 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.Fil: Beltritti, Gastón. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Fisicoquímicas y Naturales. Departamento de Matemática; ArgentinaFil: Mazzone, Fernando Dario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Fisicoquímicas y Naturales. Departamento de Matemática; ArgentinaFil: Oviedo, Martina Guadalupe. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaSpringer2018-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/164412Beltritti, Gastón; Mazzone, Fernando Dario; Oviedo, Martina Guadalupe; The Sitnikov problem for several primary bodies configurations; Springer; Celestial Mechanics & Dynamical Astronomy; 130; 7; 7-2018; 1-170923-29581572-9478CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10569-018-9838-4info:eu-repo/semantics/altIdentifier/doi/10.1007/s10569-018-9838-4info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:39:08Zoai:ri.conicet.gov.ar:11336/164412instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:39:09.132CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The Sitnikov problem for several primary bodies configurations
title The Sitnikov problem for several primary bodies configurations
spellingShingle The Sitnikov problem for several primary bodies configurations
Beltritti, Gastón
CENTRAL CONFIGURATIONS
N-BODY
PERIODIC SOLUTIONS
SITNIKOV
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 The Sitnikov problem for several primary bodies configurations
dc.creator.none.fl_str_mv Beltritti, Gastón
Mazzone, Fernando Dario
Oviedo, Martina Guadalupe
author Beltritti, Gastón
author_facet Beltritti, Gastón
Mazzone, Fernando Dario
Oviedo, Martina Guadalupe
author_role author
author2 Mazzone, Fernando Dario
Oviedo, Martina Guadalupe
author2_role author
author
dc.subject.none.fl_str_mv CENTRAL CONFIGURATIONS
N-BODY
PERIODIC SOLUTIONS
SITNIKOV
topic CENTRAL CONFIGURATIONS
N-BODY
PERIODIC SOLUTIONS
SITNIKOV
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
Fil: Beltritti, Gastón. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Fisicoquímicas y Naturales. Departamento de Matemática; Argentina
Fil: Mazzone, Fernando Dario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina. Universidad Nacional de Río Cuarto. Facultad de Ciencias Exactas, Fisicoquímicas y Naturales. Departamento de Matemática; Argentina
Fil: Oviedo, Martina Guadalupe. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
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.
publishDate 2018
dc.date.none.fl_str_mv 2018-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/164412
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
0923-2958
1572-9478
CONICET Digital
CONICET
url http://hdl.handle.net/11336/164412
identifier_str_mv 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
0923-2958
1572-9478
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10569-018-9838-4
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10569-018-9838-4
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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