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The D68 ringlet is the innermost feature in Saturn's rings. Four clumps thatappeared in D68 around 2014 remained evenly spaced about 30 degrees apart andmoved very slowly relative to each other from 2014 up until the lastmeasurements were taken in 2017. D68's narrowness and the distribution ofclumps could either indicate that we have a collection of source bodies in aco-orbital configuration or imply that an outside force confines the observeddust and any source bodies. In this paper we explore the possibility that thesefour clumps arose from four source bodies in a co-orbital configuration. Wefind that there are no solutions with four masses that produce the observedspacings. We therefore consider whether an unseen fifth co-orbital object couldaccount for the discrepancies in the angular separations and approach a stablestationary configuration. We find a range of solutions for five co-orbitalobjects where their mass ratios depend on the assumed location of the fifthmass. Numerical simulations of five co-orbitals are highly sensitive to initialconditions, especially for the range of masses we would expect the D68 clumpsto have. The fragility of our D68 co-orbital system model implies that there isprobably some outside force confining the material in this ringlet.

Modeling Saturn's D68 clumps as a co-orbital satellite system