MacBook Battery Not Recharging

I've had this MacBook since April (this year). It's never been dropped, damaged or had any other problems (apart from a dead pixel which I can live with). Just booted it up a few minutes ago and it says, next to the battery icon, "Not Charging".

I've done a Google search and searched these forums but I haven't come up with any solution. I've tried taking the battery out and replacing it again, no joy. Is the battery dead? If not, how can I fix this?

It seems fine now. After googling a bit more I came across a tip that said to let the battery run down a bit further, which I did, and then to try recharging it again. My battery was currently at about 95% charged when I had the problem, so I let it run without the adapter for about 5 minutes then tried recharging. It worked fine. So just now I'm letting the battery run right down to see if that'll help further.

On a side note, the power adapter is working fine, as is the rest of the MacBook. So it looks to be a battery issue rather than the power supply. Hopefully it's sorted now though. MacBook batteries have a lot of juice in them. I've been running this thing on the battery alone for over 5 hours now and it's still telling me it has over an hour left.