# How does angular resolution of spatial resolved objects of different colors work?

I've tried to search for some basic resources as I'm certain this is not a novel question but as I've learned in previous questions my Google skills require some work. My question is the following.

Suppose I have two objects of which I can resolve their size (for the sake of the question let's say my angular resolution is 1 degree and these objects are 5 degrees). These objects are different colours (say red and blue). As I bring these objects closer together, what happens as the distance between the edges of the objects becomes less than my angular resolution?

I expect that up to the amount that these objects reach the part unresolved will become a combination of the two wavelengths of light (magenta) that will transition into the original colours (red and blue). Further, my main confusion seems to be that regularly I have objects around me of different colours that overlap or touch, but I have never experienced any "mixing" of colours at the edges.

Thanks,

I might have found something interesting for you. Concerning the diffraction pattern of a circular pupil (the Airy disk), Rayleigh described a resolution criteria that states that the angular radius $$\theta$$ of this diffraction pattern is proportional to $$\lambda$$.