The pyramidal configurations of N+1 bodies cannot rotate |
| |
Authors: | Changrong Zhu |
| |
Institution: | Department of Mathematics, Chong Qing University, College of Science, Chongqing 400044, PR China |
| |
Abstract: | For the (N+1)-body problem, we assume that N bodies are at the vertices of a unit regular polygon and the (N+1)st body is along the vertical line normal to the plane formed by the former N bodies. If N bodies rotate at the unit circle and the (N+1)st body oscillates along the vertical line of the plane formed by the former N bodies and passing through the geometrical center, then we prove that the (N+1)st body must locate at the geometrical center of unit regular polygon. |
| |
Keywords: | (N+1)-body problems Central configurations Regular polygons |
本文献已被 ScienceDirect 等数据库收录! |
|