I'll offer a different opinion. Just because there are no apps in the dock it doesn't mean that there are no apps running in background. This is a widespread misconception that the dock is synonymous with background processes. Killing a process in the dock does NOT automatically kill associated background processes. In fact, it is certain that it does not for the built in apps (Mail, Contacts, Calendar, Game Center, App Store, iTunes store, Twitter, Maps, etc). Their background processes are always available. And if any of them were busy sending or receiving data when you switched on Airplane Mode they may still continue trying to complete the exchange and failing. They will stay in a loop trying over and over. And that can use a lot of energy.