Yeah, I realized too late that PV System might have been better...
Anywho, the hope is that there will be enough battery backup to last all night as well.
As far as I understand, the hot tub requires 1400W of power every hour to run (as it is rated at 1400W, I believe that is what this translates to).
According to some calculations I got off line, to supply 2kW per hour you only need one 20W solar panel. Now I agree, this doensn't seem like much, but a whole array of panels for one appliance also seems ridiculous.
It doensn't seem to me like providing for this one appliance would leave room for providing back to the house, as the system is supposed to be designed to be just good enough for the hot tub, and not have much extra power. Plus, I don't have a grid tie inverter in my system, just normal 120v stacked modified sine wave inverters going to a sub panel.
While I agree that directly solar heating the water would be cheaper, I think it would be a lot simpler and more asthetically pleasing to run the whole hot tub as is off of a panel, that way I don't have to deal with separating the systems, having hoses running to and from my hot tub, plus having to have both solar heating and solar power for the hot water and pump, filtration, jets, led screen etc.
It just seems less complicated to run the hot tub as a whole as it was meant to, just from a PV system instead of the grid, as opposed to essentially building my own hot tub from scratch making each system, and probably ending up with a hot tub that is neither as good looking, nor as comfortable as one factory made.