It's moving away at about 1inch a year, lengthening days here at about 1second/50k years.
As it is, the moon's orbit distance will stabilize at (if I remember right) 1.6 times its current in about 12 billion years (again off the top of my head). That's longer than it will take the sun to either go red giant in ~5BY (possibly frying earth and/or screwing up the moon's orbit, e.g. sending it into Earth), or grow dim and spare both; although that's much less likely.
Before that happens, though, the Milky Way is due to run into a nearby galaxy (Andromeda, I think), in 2BY or so, with a possible second pass around 9MY later, depending on the first one's result. Considering what we can see of our own galaxy in the night sky, it would make for quite a sight.
And if anyone has stuck around long enough to see it, the solar system also makes short trips outside (top and bottom-side) of the galactic disk's buffering from intergalactic rays etc, every 32MY, as it waves along its path around the center of the galaxy.
I've seen a few articles suppose G581c, the new planet, is tidaly locked to its sun, the way our moon is to Earth. It would be pretty hot and cold on either side of it.
Has anyone heard anything about radiation hazards from the sun? It's standing pretty close it.
