Spatial restricted rhomboidal five-body problem and horizontal stability of its periodic solutions
type: Item
instance of: scholarly article
title: Spatial restricted rhomboidal five-body problem and horizontal stability of its periodic solutions
zbMATH Open document ID: 1342.70030
author: Marcelo Marchesin
author: Claudio Vidal
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 2016-08-05T00:00:00Z
Mathematics Subject Classification ID: 70F10
Mathematics Subject Classification ID: 70K42
zbMATH DE Number: 6609569
zbMATH Keywords: restricted five-body problem
zbMATH Keywords: rhombus central configuration
zbMATH Keywords: horizontal stability
zbMATH Keywords: Sitnikov problem
MaRDI profile type: Publication
full work available at URL: s10569-012-9462-7
OpenAlex ID: W2009405272
cites work: The stability of vertical motion in the \(N\)-body circular Sitnikov problem
cites work: On the families of periodic orbits which bifurcate from the circular Sitnikov motions
cites work: Periodic and quasi-periodic motions of a solar sail close to \(SL _{1}\) in the Earth-Sun system
cites work: Q5180463
cites work: Restricted rhomboidal five-body problem
cites work: Periodic orbits and bifurcations in the Sitnikov four-body problem
cites work: On the circular Sitnikov problem: the alternation of stability and instability in the family of vertical motions
cites work: Stability of motion in the Sitnikov 3-body problem
cites work: Q5369428
cites work: Stability regions and quasi-periodic motion in the vicinity of triangular equilibrium points
DOI: 10.1007/S10569-012-9462-7
description: scientific article; zbMATH DE number 6609569