My Cessna 172 SP's alternator died while stationed at a class D airport, less than 10 miles from my home field (another class D). Both airports are within the mode C veil of a nearby B airport.
Assuming that I fully charge my battery before flying to my home field for repairs, it seems to me that I can do so in full compliance with regulations. I'll fly VFR during the day, and plan to only keep my beacon (anti-collision), transponder, ADS-B out and one radio online, and shut down all other electrical equipment to make double sure my battery will have plenty enough for the flight. I'll also carry a battery-operated backup radio just in case.
My question is: am I right in assuming that I'd be perfectly legal taking this short flight? Or do I need a ferry permit from my local FSDO?