The main result of this paper is the existence of a new family of central configurations in the Newtonian spatial seven-body problem. This family is unusual in that it is a simplex stacked central configuration, i.e the bodies are arranged as concentric three and two dimensional simplexes.
|Original language||English (US)|
|Number of pages||13|
|Journal||Celestial Mechanics and Dynamical Astronomy|
|State||Published - Dec 2007|
Bibliographical noteFunding Information:
Acknowledgements Marshall Hampton was partially supported by NSF grant DMS-0202268. Manuele Santoprete was partially supported by start-up funds from Wilfried Laurier University.
- Celestial mechanics
- Central configurations
- N-body problem
- Relative equilibria