> The orbits probably wouldn't look very fancy if you were observing from Saturn (besides the speeding up and slowing down)
Unless you were moving around the thing at precisely the right velocity I suppose. But it being a gas giant I suppose the point is kind of moot. It's not like you or a manmade device can stand touch down anywhere while still observing the sky.
"moving around the thing at precisely the right velocity" would be the rotating frame of reference that gives you the horseshoe orbits seen in chmod775's 2 links.
My point is that for people like myself, referential frames are not intuitive, and temporarily misleading. If they are unlabeled, one might even confuse them for the inertial frame, and then if one were uncritical enough, assume erroneously that these moons "bounce" back and forth like billiard balls (https://www.teachersource.com/product/newtons-kinetic-yoyo-s...).
It took a bit of searching, but here is an animation showing how the two moons look in the inertial frame of reference. The interesting bit is how they interact gravitationally so that the faster one never overtakes the slower one, rather it causes the faster one to slow down and the slower one to speed up and pull ahead.
Unless you were moving around the thing at precisely the right velocity I suppose. But it being a gas giant I suppose the point is kind of moot. It's not like you or a manmade device can stand touch down anywhere while still observing the sky.