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Five pairs of large solar system satellites occupy first order mean-motionresonances (MMRs). Among these, the pairs of Mimas-Tethys and Titan-Hyperionare special. They are located much deeper in resonance than the others andtheir critical arguments librate with much greater amplitudes. Thesecharacteristics are traced to the insignificant damping, over $\Gyr$timescales, of Mimas's orbital inclination and Hyperion's orbital eccentricity.Absent that, these resonances would not survive. Instead their librations wouldbe overstable and escape from resonance would occur on the relevant dampingtime. Unlike the aforementioned MMRs, those involving Enceladus-Dione,Io-Europa, and Europa-Ganymede are limited by eccentricity damping. They musteither remain at the shallow depths they currently occupy, or, if they venturedeeper, retreat after a limited time. The latter seems almost certain forEnceladus-Dione and quite likely for the others, We examine the MMRs involvingMimas-Tethys and Titan-Hyperion under the assumption that they formed as aresult of convergent migration. Capture probabilities are $\sim 6\%$ for theformer and $100\%$ for the latter. The possibility of collisional excitation oftheir large librations is investigated but largely discounted.

Special mean motion resonance pairs: Mimas-Tethys and Titan-Hyperion