Abstract:

In Celestial Mechanics a configuration of the N-body problem is central if the acceleration vector for each body is a common scalar multiple of its position vector (with respect to the center of mass). The aim of the talk is to visit some of the recently studied problems: 1+n, Co-circular, Crowns, Stacked five body-problem, Convex four body-problem,... to get the feeling of the topic. With thanks to everyone who have traveled together and allowed me to learn and enjoy.

Video of the talk.

Slides of the talk.

Videos in the presentation:*

Lagrange Homoethic (slide 5)

Euler Relative Equilibrium (slide 5)

Homographic motion (slide 5)

Convergence with clustering (collinear) (slide 21)

Convergence with clustering (slide 21)

Convergence without clustering (convex) (slde 22)

Convergence without clustering (concave) (slide 22)

zip file

*some of the videos may appear corrupted, but by saving the webpage in the link you will be able to download them and play without any issue.