Abstract <p>The dynamics and physical structure of Saturn’s large inner moons (Rhea, Dione, Tethys, Enceladus, and Mimas) lead to conflicting evidence for determining their origin and age. The evolution of their orbits has been particularly difficult to understand. A theoretical approach based on tidal migration via resonances appears to have some success. However, the tidal paradigm, as the sole explanation for the evolution of orbits, leads to a situation where astronomical complexity increases far more rapidly than its ability to solve a problem. Suggestions that the moon system evolved through collisions in the distant past are little more than speculation. The local Hubble–Lemaître flow provides a simple explanation for the outward migration of these moons as well as the recession of Titan, Saturn’s largest moon. The Saturn moon system provides further evidence that the cosmological expansion operates on objects in the Solar System. The existing paradigm, which asserts that gravitationally bound systems cannot experience the Hubble–Lemaître flow, is called into question by the ever-increasing observational data.</p>