size of battery needed for my solar panel

But what is start up?
1. cold start -18C
2. When it has not been used for 1/2 hour
3. When it ran 5 minutes ago
Any of those, depending upon what you want. I imagine that you would want it to be able to start under any likely conditions, so you would presumably want the battery to be able to do the 'cold start' - in which case it would obviously also be OK in the other situations you mention.
 
Caravan and motorhome people tend to have more money than sense and throw thousands at huge power setups that seem to serve little purpose other than running a stinky air fryer and giving them bragging rights on the internet.

Unless you want to do the same, you'd be better with an LPG setup for heating/cooking/hot water etc.

I'd stop trying to "science" the electric, you have little idea of the heater consumption (if you chose to use it over a gas heater), or what your panel will produce in your location in winter - the typical start point for a caravan is (was) a 100w panel and a 110ah lead acid battery - start with that. As you aren't going to be there you should buy a cut off device that will monitor your battery and cut the power to protect it from excessive discharge. You will get a good idea from when you cameras shut down as to where you are and if you can monitor the battery voltage/charging time you can assess whether the panel will power a second battery or whether the battery needs a second panel etc.

The best leisure batteries I ever had were ex UPS batteries where someone was selling them off a pallet for £20 each, but that was before the off grid craze started.
 
Unless you want to do the same, you'd be better with an LPG setup for heating/cooking/hot water etc.

Even those, need some 12v power - my heating system, needs power to ignite, then power for the blown air distribution, cooking needs power for ignition, hot water needs power for the ignition, and pump.
 

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