Satellite de-orbiting via controlled solar radiation pressure |
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| Authors: | Rogerio Deienno Diogo Merguizo Sanchez Antonio Fernando Bertachini de Almeida Prado Georgi Smirnov |
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| Institution: | 1.Departamento de Matemáticas,UAM-Iztapalapa,Mexico,Mexico;2.Departament de Tecnologies Digitals i de la Informació, U Science Tech,Universitat de Vic-Universitat Cental de Catalunya (UVic-UCC),Vic,Spain;3.Departament de Matemàtiques, Edifici C, Facultat de Ciències,Universitat Autònoma de Barcelona,Bellaterra,Spain |
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| Abstract: | We analyze the families of central configurations of the spatial 5-body problem with four masses equal to 1 when the fifth mass m varies from 0 to \(+\infty \). In particular we continue numerically, taking m as a parameter, the central configurations (which all are symmetric) of the restricted spatial (\(4+1\))-body problem with four equal masses and \(m=0\) to the spatial 5-body problem with equal masses (i.e. \(m=1\)), and viceversa we continue the symmetric central configurations of the spatial 5-body problem with five equal masses to the restricted (\(4+1\))-body problem with four equal masses. Additionally we continue numerically the symmetric central configurations of the spatial 5-body problem with four equal masses starting with \(m=1\) and ending in \(m=+\infty \), improving the results of Alvarez-Ramírez et al. (Discrete Contin Dyn Syst Ser S 1: 505–518, 2008). We find four bifurcation values of m where the number of central configuration changes. We note that the central configurations of all continued families varying m from 0 to \(+\infty \) are symmetric. |
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