My 85 GL1200 Aspy 50,000 miles dies while riding down the road. I have owned this bike for a year and a half and it just started doing this. I drove down the highway about a mile and the engine just shut off. After about 5 minutes it started and I drove about 5 miles before it died again. I let it sit for about another 5 minutes and it started. I then drove it 80 miles with no problem. It set for about 4 hours. Then on my return trip home I got about 5 miles and it died again. A few minutes later it started again and I rode 80 miles back home without any problems. Today I started out and got about a mile down the road and it died again. I got it started and brought it back home. I have started it in the garage and let it idle for 10 minutes at a time and it runs perfect. I don't think it is the kill switch. When the motor is running and I turn off the kill switch I can watch the RPM's go down until the engine stops. When the engine shuts down on the road the RPM's go to 0 even though the engine is still turning as it coasts to a stop while in gear. I have ruled out the fuel filter because of the RPM's not showing when the problem occurs, so I'm pretty sure it is an electrical problem. With so many wires and connectors on this bike I don't have a clue where to start looking. Any help would be appreciated.