Okay, lets say the Air to water temp differential is
64 degrees
2600 gal
103 SF
64 x103x5= 32,960 BTU - so you'd lose about 1.51 degrees an hour (without a cover, so more like 30-40% of that) if the differential was that great, which sounds unlikely.
With 2600 gallons at roughly 8.35 lbs per gallon, it takes about 21,710 btu to heat the water 1 degree.
So with a 125x82% heater, you'd use 102,500 BTU /hour and in perfect conditions net 4.72 degrees increase each hour you ran heater.
Between the cover AND the greenhouse, im going to guess the most you could actually lose if you kept temp up and ergo pipes and ground hot like i do is about a third of a degree an hour. Your heater can get back at least 4 degrees an hour, then once you've run up to temp and are just doing daily boost heating to overshoot the mark, you'd need to run the heater about 3 hours a day worst case (but covered or all bets are off) to keep the temp up.
So 3 CCF or therms (cause you can only use 1 an hour) would be $1.62 a day or $48.60/month IF you ran it up once to past 90, didn't thermostat, and scheduled your heater on full throttle for 3 hours a day.
I actually doubt you'd even need that much...I thnk you could get it dialed down to under two hours
The trick will be to run up to temp, as the initial heating won't be terribly efficient as its working against the loss, but daytime sun in a green house setting also offsets that. Depending on your water temp, it could take a day or two to get in the 90s, but then monthly maintenance looks pretty cheap...just don't let it drop
For reference on the calcs since I couldn't remember: note to self, remember where you posted this
To calculate rate of loss, I believe you multiply air differential to pool water, multiply by square footage of surface, multiply x5 for BTUs of loss.
So with a 100 degree differential (eg -6) times 600 SF x 5 = 300,000 BTU.
It takes roughly 200,000 BTU (24,000 gallons x 8.35 lb per gallon=204,000 BTU ) to move my water temp 1 degree.
So on a -6 day, notwithstanding the insulating effect of a) the dome itself and b) my solar cover...in theory I would lose roughly half a degree more an hour than I could produce. Ergo, I couldn't keep up (heater is 266k btu x80% efficiency= 212,000 btu/hr max capability). (This also means that I can't really use much more than 2 CCF per hour even if I wanted to.