I had a look at the Android app today in hopes that I could do turns on my tablet when I travel.
It seems to have the messages, starmaps etc all right, but I can't actually do anything with a ship. For example, I can click on the ship and get a choice of starmap or details. So I can see it on the starmap but I can't change its destination. And details just brings up a picture of the ship. No options to transfer colonists, etc.
My info may be a bit out of date, but I believe Beacon isn't exactly using the released API. Although I think he's modding his code to use it.
But currently, the only API's released allow read only functions. There's no write API available yet. (unless my info is old). However Beacons Android Map actually allows you to navigate on the starmap. I tried to use my Android Phone to do a turn once in desperation, and it was highly frustrating not being to actually set accurate waypoints. I typically use it to catch a quick glimpse of my turns while on the go.
Does Nu currently work (as in more usable than on an android) for the ipad? I remember Joshua stating that he did a turn once on an ipad, and he said he enjoyed it.