</font><font color="blue" class="small">( As long as it's kept charged, the cold shouldn't hurt it. Maybe someone with battery knowledge can shed some light. )</font>
Yes, fully charged batteries shouldn't have a problem, but fully is the operable word. I always prefer disconnecting, but not removing the batter when charging as I don't take chances with my alternator. If you have no electric nearby, then solar trickle charging may be sufficient.
John