Hand crank for the real time power supply, or to charge a battery/capacitor?
In the later case, a solar or cranked battery charger is a better bet, and more versatile.
In the former, I wouldn't run erratic power levels through electronics that delicate. LEDs are tough, but the guts a GPS, not so much.
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-IronRaven
When a man dare not speak without malice for fear of giving insult, that is when truth starts to die. Truth is the truest freedom.