In this paper we prove the existence of central configurations of the pnbody problem where the masses are at the vertices of p nested regular n-gons with a common center for all p ≥ 2 and n ≥ 2. In such configurations all the masses on the same n-gon are equal, but masses on different n-gons could be different. © Birkhäuser/Springer Basel AG 2010.
- Nested regular n-gons
- Planar central configurations
Corbera, M., Delgado, J., & Llibre, J. (2009). On the existence of central configurations of p nested n-gons. Qualitative Theory of Dynamical Systems, 8(2), 255-265. https://doi.org/10.1007/s12346-010-0004-y