an air conditioner running on solar without batteries

read the spec's. It's power draw is 960W. that means you will likely need around a 1200W solar panel to net the 960 needed after one accounts for the solar panel fudge factors for temperature and radiation let alone any solar tracking needs. Getting full rated power from solar panels even with a MPPT controller is very hard under most circumstances, especially when it is hot enough that you need AC. output goes down with panel temp, output goes down from rated when you don't have the "ideal" solar radiation that panels are rated for. And then if they are roof mounted unless your at the equator your going to loose power due to angle, figure 20-30% depending on latitude and season.

and then watch it trip out the first time a wispy cloud comes along if you don't have battery backup.

so, even 1000W of solar is going to take up lots of room.

yes it's nice but probably not very usefull for an RV. Now a home, maybe