Abstract
In this paper we show the existence of families of triple or quadruple nested planar central configurations for the n-body problem with n = 6, 8, 9. More precisely for n = 6 we nested three 2-collinear central configurations, for n = 8 we nested four 2-collinear central configurations and for n = 9 we nested three equilateral triangular central configurations. As far as we know these are the first examples of planar triple and quadruple nested central configurations. © 2008 Elsevier B.V. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 563-571 |
| Journal | Physica D: Nonlinear Phenomena |
| Volume | 238 |
| DOIs | |
| Publication status | Published - 15 Mar 2009 |
Keywords
- Nested central configurations
- Planar central configurations
- n-body problem