Toyota camry hybrid aux battery problems

been there. we actually did put on a solar charger that should have added between .5 and 1 Ah per day, and that did not solve the problem. The plug-in trickle charger doesn’t work at the airport. The larger battery, if it would fit, would just delay the inevitable. I’m wondering if this is a demon-possessed lemon, or if this is a common experience with other Toyota hybrid owners.

Incidentally, as I mentioned, it will run down in a week, hardly a long time.

thanks