650/X-2 Help!!

I have a '91 Superjet 650. Basically i will ride around for about an hour or two and after starting and stopping about 6 times, my ski won't turn back on. The ski runs perfect when I'm riding but then it is like the battery is not getting charged as I'm riding. And i get absolutely no response when i try to crank it. I will go home, charge the battery and then it starts right up. What could my problem be? Can i fix it myself? Any help would be great. Thanks
 
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