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John, it's 137.15 AmpHours - a bit different to Amps!
Are you sure that your mount drive is as low as 500mA - what about when it is slewing?
No dew heating??
Fundamentally you need a power supply that will 1) comfortably deliver the maximum Amps that is required at any one time (lappie chunking flat out and drive slewing and camera "clicking" and downloading), and then 2) deliver sufficient average Amp load over the period of time that you need - 8 or 10 or 12 hours.
Any big battery should supply enough total Amps - they are designed to crank over cold car engines! The real question is the delivery of AmpHours over sufficient time without depleting the battery so far that it is damaged before it can be recharged.
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