What are the color progression of a typical sunrise? "Dawn simulators" are used to simulate a natural sunrise, or at least the physiological effects of one.

What temporal sequence of color values (e.g., hue, saturation, brightness, and timing) corresponds to a typical spring or summer sunrise? Are the methods for calculating changes in these values based on season?
These steps are in there for credit

I used Stellarium to simulate a sunrise, and took screenshots of the progression. Each screen shot was 2 seconds apart, and stellarium was accelerated to 10 minutes a second.

Then, using imagemagik to crop batch those 13 images with this command:

mogrify -crop 1280 1024 *.png


(those numbers are the size of my screen. I cropped to get rid of my second screen)

Next I put the images into Color Thief and got the pallet of each image. This is the result of those 13 images:



























Those are the colour pallets. You can pick whatever colours you want from them with a colour picker, such as KColorChooser.