Article Contents
Article Contents

# On the Dziobek configurations of the restricted $(N+1)$-body problem with equal masses

• In this article we show that the $(N-1)$-dimensional central configurations of the restricted $(N+1)$-body problem with equal masses are symmetrical. As a consequence, we are able to prove finiteness and find upper and lower bounds for the number of central configurations.
Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

 Citation: