The configuration of Fraternite–Egalite2–Egalite1 in the Neptune ring arcs system

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∘11.7∘ and 13.8∘13.8∘ from the center of Fraternite could correspond to the locations of Egalite 2 and Egalite 1. This model accounts for the 10∘10∘ span of Fraternite and estimates its mass at mf=6.4×1016kg. The eccentricities of Egalite 2 and Egalite 1 are believed to be about e=5×10-4e=5×10-4.