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Abstract:

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.

Registro:

Documento: Artículo
Título:The Sitnikov problem for several primary bodies configurations
Autor:Beltritti, G.; Mazzone, F.; Oviedo, M.
Filiación:CONICET - Dpto. de Matemática, Facultad de Ciencias Exactas Fsico-Qumicas y Naturales, Universidad Nacional de Río Cuarto, Río Cuarto, Córdoba 5800, Argentina
CONICET - Instituto de Investigaciones Matemáticas “Luis A. Santaló”, Facultad de Ciencias Exactas y Naturales-UBA, Buenos Aires, C1428EGA, Argentina
Palabras clave:Central configurations; n-Body; Periodic solutions; Sitnikov
Año:2018
Volumen:130
Número:7
DOI: http://dx.doi.org/10.1007/s10569-018-9838-4
Título revista:Celestial Mechanics and Dynamical Astronomy
Título revista abreviado:Celest. Mech. Dyn. Astron.
ISSN:09232958
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09232958_v130_n7_p_Beltritti

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Citas:

---------- APA ----------
Beltritti, G., Mazzone, F. & Oviedo, M. (2018) . The Sitnikov problem for several primary bodies configurations. Celestial Mechanics and Dynamical Astronomy, 130(7).
http://dx.doi.org/10.1007/s10569-018-9838-4
---------- CHICAGO ----------
Beltritti, G., Mazzone, F., Oviedo, M. "The Sitnikov problem for several primary bodies configurations" . Celestial Mechanics and Dynamical Astronomy 130, no. 7 (2018).
http://dx.doi.org/10.1007/s10569-018-9838-4
---------- MLA ----------
Beltritti, G., Mazzone, F., Oviedo, M. "The Sitnikov problem for several primary bodies configurations" . Celestial Mechanics and Dynamical Astronomy, vol. 130, no. 7, 2018.
http://dx.doi.org/10.1007/s10569-018-9838-4
---------- VANCOUVER ----------
Beltritti, G., Mazzone, F., Oviedo, M. The Sitnikov problem for several primary bodies configurations. Celest. Mech. Dyn. Astron. 2018;130(7).
http://dx.doi.org/10.1007/s10569-018-9838-4