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Fig. 4

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Subset of stationary configurations for N = 4 satellites, akin to the Lagrangian L4/L5 points. The satellite S1 is the most massive. We assume that the mass ratios mi/m1 of the satellites Si (i = 2,3,4) with respect to S1 are lower than 0.03, and that the angular separations are compatible with the observed inter-arc regions (Φ32 = 11 ± 3 deg, Φ43 = 12.5 ± 3 deg and Φ42 = 23.5 ± 3 deg). We obtain a continuum of masses (see table) in equilibrium where the co-orbital satellites are close to the L4/L5 point of S1: S2 at a longitude with respect to S1 between 43 and 56.75°, S3 between 51.28 and 70.74° and S4 between 65.66 and 80.1°.

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