David,
When I was in college many years ago, my friends majoring in the social sciences were surprised at how much math they had to take.
Your calculations look pretty good. The only issue is that you may have damaged your
battery on evening 3 when you went below 21 amp hours (1/2 of 42) to 18. So you need to lower your usage and/or increase the size of your battery or
solar. When I do my calculations, I divide by two right off. So I would start with 21 amp hours:
-Evening 1 - 21 amp hours - 12 = 9 amp hours
-Day 2 - 9 + 6 = 15 amp hours
-Evening 2 - 15 - 12 = 3 amp hours
-Day 3 - 3 + 6 = 9 amp hours
-Evening 3 - 9 -12 = power runs out in the middle of the night (or you damage battery)
There are several options you might consider:
-get a little led light that is battery operated and use rechargeable batteries to use as a night light. That would save a bunch of energy. Or you could get one of those solar-powered garden
lights and leave it outside during the day or in a place that gets sun if you are driving.
-Get a little larger battery or a spare one.
-Get one of the "jump-start" battery sets for a backup. Some of them also have inverters which you could use to recharge your laptop etc on non travel days. The one I bought also has an air compressor built-in, which is handy out in the boondocks.
-Make your
solar panel portable instead of mounting it on the trailer. That way you will have options of placement. Otherwise you know the best camping areas will all shade your trailer and
solar panel. Make up an extension cord to connect it. Use a big gauge wire (the smaller the number, the bigger the gauge) to avoid voltage loss. If it was me, I would use 12 gauge wire. My new
solar (2-85 watt panels) uses 8 gauge.
-Someday, if power is really important, you can add in one of the little 1000 watt Honda generators... pretty light and quiet (but not cheap).
Have fun with it!
John