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How do you define "small" panels?
I have a fold-up panel I keep in my earthquake kit (California, and all that) that puts out enough power to charge my laptop and phones. That would easily power the Raspberry and charge the batteries during the day, so it could run from the batteries at night when the panel isn't generating. It would need to be in direct sun during the day, but yes, it would absolutely be do-able, with the right setup.
