Batteries lose power after coming home???

Glad you're making progress.

If the batteries are holding their voltage with no load but rapidly dropping under light load they also probably need to be replaced.

I forget which model rpod you have but if it's one with a 3 way fridge you could put that on 12vdc for a few hours then shut it off and wait half an hour or so.   The fridge takes around 11A so 3 hours would be 30-35 amphours.

A multimeter with a DC current clamp on is handy to monitor charge and discharge currents. If you get one, be sure the meter can read DC current, not just AC.

If that 30-35 amphours drags the batteries down below say 12.0V or thereabouts then youre looking at new batteries. Might be worth doing the test now so you can plan for battery replacement over the winter, but you may want to buy them next Spring and save 5-6 months of battery life at this point.

Offgrid and Stephan H....

12.6V for a fully charged lead acid battery at rest with no load or charging is normal. So if after charging (with what, an external charger?) you're at 12.6 a few hours later then that's a good indication that your on board charger isn't working. It's also a sign that there is no significant unknown load on the system. It's not a sign of bad batteries. So while the batteries could still be bad let's not start there.

I think your first instinct that it's the charger is a good one. To confirm that disconnect the battery negative terminals. Disconnect any other charging sources (solar, tow vehicle, external charger) except the on board charger. With shore power connected the charger should be able to directly run your 12V loads without the battery. If it can't and your 120vac supply is good (check your receptacles and microwave), and the charger breaker is on, then either the charger is not working or you have an open circuit in the 12V system. You can eliminate the latter if the batteries can power your 12V loads without any charging sources being on.

Thanks for your response. I checked the circuit breakers. None had tripped, including the one marked converter. I didn't pull all the individual fuses to check them, but I assume that if the converter circuit breaker didn't trip it might be working. I'm not enough of an electical whiz kid to know how tocheck to see if it's charging.... other than to take a reading every so often. The batteries have gone down from 13.somthing when I finished charging them this morning, to 12.6 now that they are on their own with just the shore power to keep them going.