Have a 2012 Goldwing which I bought new, have done 37000 miles. Just recently have had problems starting the bike after a long ride. When cool the battery starts the bike (with slight apparent difficulty) after a long ride say 50 miles if the bike is put off, it will not start and gives the impression the battery is flat. But if left to cool say 1 hour the battery will start the bike. Once the bike stopped while idling, and was able to start the bike by pushing it. Naturally i blame the battery as four years have passed and perhaps it has lived its life. However am confused as to why it would start the bike even if left idle for 7 days, how can a bad battery do that, after 7 days , could there be another problem.