(sorry for all the post, just thought I'd share just a few more things I've come across)
Orbit circles are shown in the celestial frame on the Nasa site using Cesium. It would be nice if they could also draw orbit lines in Earth fixed frame where they'd be warped due to the Earth spinning.
AGI's Space Book site has more options and shows the bright side
but it lacks orbit lines (celestial frame or Earth fixed frame)
Accelerating time with AGI's site you can see that:
-Aqua (27424) clearly moves NW in the bright side of the Earth frame.
-Terra (25994) clearly moves SW in the bright side of the Earth frame.
Though it would be nice if AGI's site would also allow the camera to be stationary in the Celestial frame and not just within the Earth fixed frame (or is that already an option? perhaps via the console at least)