Home > Search Results: A special family of stacked central configurations lagrange plus euler in one
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Articles, 2 records found
Articles 2 records found  
1.
10 p, 419.0 KB A family of stacked central configurations in the planar five-body problem / Cornelio, J. Lino (Universidad Juárez Autónoma de Tabasco (Mèxic). División Académica de Ciencias Básicas) ; Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We study planar central configurations of the five-body problem where three bodies, m1,m2 and m3, are collinear and ordered from left to right, while the other two, m4 and m5, are placed symmetrically with respect to the line containing the three collinear bodies. [...]
2017 - 10.1007/s10569-017-9782-8
Celestial Mechanics and Dynamical Astronomy, Vol. 129, Issue 3 (November 2017) , p. 321-328  
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2.
10 p, 418.4 KB A special family of stacked central configurations : lagrange plus euler in one / Cornelio, J. Lino (Universidad Juárez Autónoma de Tabasco (Mèxic). División Académica de Ciencias Básicas) ; Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana-Iztapalapa (Mèxic). Departamento de Matemáticas) ; Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
We show the existence of a family of stacked central configurations in the planar five-body problem with a special property. Three bodies m1 , m2 and m3 , ordered from left to right, are collinear and form an Euler central configuration, and the other two bodies m4 and m5 , together with m2 are at the vertices of an equilateral triangle and form a Lagrange central configuration.
2019 - 10.1007/s10884-018-9647-1
Journal of dynamics and differential equations, Vol. 31, Issue 2 (June 2019) , p. 711-718  
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