I'd do some research into QGIS, remote sensing, and NDVI if you are interested. You would want multi-spectral imagery from a satellite with Near Infrared sensors, and RapidEye has them.
That said, this is technical. It might be easier if you were comfortable enough with coding to get the imagery from their developer API. And GIS/remote sensing analysis is somewhat complicated. Plus, remote sensing doesn't analyze anything really, it just filters information. So you would have to be comfortable with the farm, the theory behind remote sensing, and the process in order to correctly interpret the data. I'm not familiar enough with agriculture to get really specific information from satellite imagery. So you might be putting a decent amount of work into get info you could just have gotten by walking out into your field.
Edit: there's a lot more uses like mattzero mentioned if you are using it for more than just farming. For instance, if you hunt or fish you can use satellite imagery to determine where specific ecosystems begin and end. So there is a lot you can do.
Actually that sound like a sweet project. You could go out and take pictures of a freshly burned fire, one that's 1 year old, one that's 2 years old, etc.
I don't think you need to be a coder to use timely data.
If fertilizer companies and ag consultants could piggy back on top of the state's purchase of imagery it could be a game changer. If all the states would do this you'd see an entire industry grow up using it.