Liang Ding

collaborators

3 papers

math.DS2020

The central configuration of the planar ( $N$ +1)-body problem with a regular $N$ -polygon

Liang Ding, Jinlong Wei, Shiqing Zhang

For planar ( $N$ +1)-body ( $N$ \, $\geq$ 2) problem with a regular $N$ -polygon, under the assumption that the ( $N$ +1)-th body locates at the geometric center of the regular $N$ -polygon…

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,…

The central configuration of the planar (N+1)-body problem with a regular N-polygon

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

Eulerian collinear configuration for 3-body problem

The central configuration of the planar ( $N$ +1)-body problem with a regular $N$ -polygon

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