J. M. S'anchez-Cerritos

collaborators

4 papers

math.DS2019

Notes on spatial twisted central configurations for $2 N$ -body problem

Liang Ding, Juan Manuel Sánchez-Cerritos, Jinlong Wei

We study the spatial central configuration formed by two twisted regular $N$ -polygons. For any twist angle $θ$ and any ratio of the masses $b$ in the two regular $N$ -polygons, we p…

math.DS2019

Eulerian collinear configuration for 3-body problem

Liang Ding, Juan Manuel Sánchez-Cerritos, Jinlong Wei

For 3-body problem with any given masses $m_{1}, m_{2}, m_{3} > 0$ , there exist only Eulerian collinear central configuration and Lagrangian equilateral-triangle central configuration,…

math.DS2019

Regularization of the restricted $(n + 1)$ -body problem on curved spaces

Ernesto Pérez-Chavela, Juan Manuel Sánchez-Cerritos

We consider $(n + 1)$ bodies moving under their mutual gravitational attraction in spaces with constant Gaussian curvature $κ$ . In this system, $n$ primary bodies with equal masses f…

math.DS2018

Choreography solutions of the $n$ -body problem on $S^{2}$

Juan Manuel Sánchez-Cerritos, Shiqing Zhang

We try to prove the existence of choreography solutions for the $n -$ body problem on $S^{2}$ . For the three-body problem, we show the existence of the 8-shape orbit on $S^{2}$ .

Notes on spatial twisted central configurations for 2N-body problem

Eulerian collinear configuration for 3-body problem

Regularization of the restricted (n+1)-body problem on curved spaces

Choreography solutions of the n-body problem on S2

Notes on spatial twisted central configurations for $2 N$ -body problem

Regularization of the restricted $(n + 1)$ -body problem on curved spaces

Choreography solutions of the $n$ -body problem on $S^{2}$