The Configuration of Fraternite-Egalite2-Egalite1 in the Neptune Ring Arcs System

Abstract

By considering the finite mass of Fraternite, although small, it is shown that there are two time averaged stationary points in its neighborhood due to the reaction of the test body to the fields of Neptune, Galatea, and Fraternite. These two locations measuring 11.7 and 13.8 degrees from the center of Fraternite could correspond to the locations of Egalite 2 and Egalite 1. This model accounts for the 10 degree span of Fraternite and estimates its mass at $m_{f}=6.4\times 10^{16}$ Kg. The eccentricities of Egalite 2 and Egalite 1 are believed to be about $e=5\times 10^{-4}$.