7 citations · 12 across the 7 of their papers we have counts for
7 papers
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…
Causal wavelet analysis of ozone pollution contingencies in the Mexico City Metropolitan Area
J. A. Martínez-Cadena, J. M. Sánchez-Cerritos, A. Marin-Lopez +2
In the recent two decades, the Mexico City Metropolitan Area (MCMA) has been plagued by high concentrations of air pollutants, risking the health integrity of its inhabitants. Alth…
Wavelet analysis and forecast of pollutants in Puebla City, Mexico
J. A. Martínez-Cadena, J. M. Sánchez-Cerritos, A. Marin-Lopez +3
This article presents a detailed analysis of atmospheric pollutants in Puebla City, Mexico, based on data collected between 2016 and 2024. The research focuses on the daily variati…
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 .