Hi Rod
To answer your question, yes it is possible to eyeball the 14th magnitude moons Titania, Oberon and Ariel with a minimum on 10-inch aperture but only from very dark skies in excellent seeing conditions AND when their respective orbits place them at maximum separation from Uranus. As for Miranda and Umbriel forget it.. unless you have a 16 inch or larger in dark skies. Somebody will probably disagree - but that's my experience anyhow.
To be honest, I've only visually seen one satellite with certainty using the 10" (what I believed was a second moon was only visible with averted vision). I used an illuminated reticle eyepiece (switched off) placing the cross hairs over the planets disc to partially obscure distracting glare. Before jumping to conclusions that I must be on drugs suggesting Uranus has a distracting glare, it really does to dark adapted eyes trying to scrutinize the surroundind black sky for faint points of light near the edge of ones visual perception. It is also made difficult by sudden undulations to the seeing making the moon/s seem to temporarily dissappear.
Could be a good challenge of the Month opportunity. Houghy would stand the best chance with the 12-inch Meade. From the light polluted coast here all I see is the disc of Uranus then hook up the camera.. switch it on wait 10 seconds and suddenly Uranus and 4 moons appear on the monitor!
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