A few calculations...
A Kendrick C11 dew heater is 28W = 2.3A. 2.3A * 4hours = 9.2Ah. You do not want to go below 50% the rated Ah of a deep cycle battery if you want it to last, so the dew heater will use up an 18Ah in 4 hours... You may want 2 of them or go twice the size.
The rating of a deep cycle battery is to discharge it to 0% charge at 10.5volts (and some of your equipment may not work at such a low voltage). If you go below 10.3 volts it is toast. Going down to 20% is possible but not recommended. A battery will last twice as long discharging to 50% vs 20%. This is a trade off of price of battery and how often you will be doing this and want to replace the battery.
Using a camera means using a laptop. An average laptop will use about 60Watts. 60/12 = 5Amps * 4 = 20Ah which means 40Ah battery just for that. I do a bit of processing of images whilst it is clicking away, so I don't dim the screen and am cranking the hard drive and CPU, so probably go a bit higher than this. If you set the power controls to low CPU at idle and dim the screen then this can be reduced. A laptop with a 10" screen may only draw 25Watts = 2A = 8Ah over 4 hours (16Ah battery)...
The scope itself, well can't find measurements of your mount, but HEQ5 Pro apparently tracks at 1A with similar equipment and your mount shows max current a little high at 3.2A so this is probably right. Allow for 1A * 4h = 4Ah (8Ah off the batteries rating to 50%).
9.2Ah + 20Ah + 4Ah = 33Ah / 50% = 66Ah battery. And allow at least 20% for efficiency loss on top of these figures if going through an inverter to run things at 240V.
Just found this site with some peoples experiences
http://cs.astronomy.com/asycs/forums...92/431909.aspx
Here are a couple of quotes
"My system draws about 6 amp. I had an 80 amp hour deep cycle battery that would run the system for 6 or 7 hours before the dc to dc converter for the laptop dropped out from low voltage. I wanted to be able to image over two consecutive nights camping out at deep sky sites so a bought another 80 amp hour battery. One battery runs the laptop, the other battery runs everything else. With this set up both batteries will go about 21 hours before the voltage drops too low, and they both drop out at about the same time."
"I use the Optima D34M (55aH) with an 800 watt inverter (I have three 12 VDC outlets in addition to the one on the inverter). I can run my laptop, an LXD-75 SN-10 (w/EQ-G mount), a small LCD monitor (DVD player), and my Canon XTi for a night's worth of observing with this setup."
Mark.