The Sitnikov problem for several primary bodies configurations View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-07

AUTHORS

Gastón Beltritti, Fernando Mazzone, Martina Oviedo

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. More... »

PAGES

45

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10569-018-9838-4

DOI

http://dx.doi.org/10.1007/s10569-018-9838-4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1105047329


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