Periodic Solutions in the Generalized Sitnikov (N+1)-Body Problem

Andres Rivera

doi:10.1137/120883876

Periodic Solutions in the Generalized Sitnikov (N+1)-Body Problem

Andres Rivera

Producción: Contribución a una revista › Artículo › revisión exhaustiva

13 Citas (Scopus)

Resumen

This paper studies a special restricted ( n + 1)-body problem which can be reduced to the Sitnikov problem with an appropriate positive parameter. According to the number of bodies we prove the existence (or nonexistence) of a finite (or infinite) number of symmetric families of periodic solutions. These solutions bifurcate from the equilibrium at the center of mass of the system.

Idioma original	Indefinido/desconocido
Publicación	SIAM Journal on Applied Dynamical Systems
DOI	https://doi.org/10.1137/120883876
Estado	Publicada - 2013

Palabras clave

N-body problem, Sitnikov problem, periodic orbits, bifurcations, global continuation, Sturm– Liouville theory

Acceder al documento

10.1137/120883876

Otros archivos y enlaces

https://publons.com/wos-op/publon/45198140/

Citar esto

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AB - This paper studies a special restricted ( n + 1)-body problem which can be reduced to the Sitnikov problem with an appropriate positive parameter. According to the number of bodies we prove the existence (or nonexistence) of a finite (or infinite) number of symmetric families of periodic solutions. These solutions bifurcate from the equilibrium at the center of mass of the system.

KW - N-body problem, Sitnikov problem, periodic orbits, bifurcations, global continuation, Sturm– Liouville theory

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DO - 10.1137/120883876

M3 - Artículo

SN - 1536-0040

JO - SIAM Journal on Applied Dynamical Systems

JF - SIAM Journal on Applied Dynamical Systems

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