7 citations · 12 across the 7 of their papers we have counts for
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A Variational Approach to Planar Choreographies via Ekeland's Principle
Juan Manuel Sánchez-Cerritos, Mayte Torres-Hernández
We present a variational approach to obtain periodic solutions of the -body problem, in particular the 'figure-eight' solution for three equal masses. The central idea is to exp…
Notes on spatial twisted central configurations for -body problem
Liang Ding, Juan Manuel Sánchez-Cerritos, Jinlong Wei
We study the spatial central configuration formed by two twisted regular -polygons. For any twist angle and any ratio of the masses in the two regular -polygons, we p…
Eulerian collinear configuration for 3-body problem
Liang Ding, Juan Manuel Sánchez-Cerritos, Jinlong Wei
For 3-body problem with any given masses , there exist only Eulerian collinear central configuration and Lagrangian equilateral-triangle central configuration,…
Regularization of the restricted -body problem on curved spaces
Ernesto Pérez-Chavela, Juan Manuel Sánchez-Cerritos
We consider bodies moving under their mutual gravitational attraction in spaces with constant Gaussian curvature . In this system, primary bodies with equal masses f…
Choreography solutions of the -body problem on
Juan Manuel Sánchez-Cerritos, Shiqing Zhang
We try to prove the existence of choreography solutions for the body problem on . For the three-body problem, we show the existence of the 8-shape orbit on .