The short answer is yes. The rising sun lights the underside of Stone 8 (the capstone) through two apertures towards the East. One is bigger than the other, and I suspect this is due to an understanding of the Equation of Time. This subject is under study. The differences between the extremes; midwinter and midsummer, that is, how the 'daggers' of light play upon the capstone's underside, and other places, suggest strongly that the principles of the Equation of Time were understood and taken into account. I emphasise here that none of this is conclusive, but I would add that such things were understood well at the same time in Mesopotamia, so why not here?
Something that has always bugged me...nothing to do with the scientific applications although I daresay there is an equation to be made.....the time it would take to erect the structure...a variable no-one knows, then to get the alignment right means that it wouldn't be aligning to it's original design or purpose...(assuming we are correct in assuming it is for catching sun-rays + shadows) after this lapse of time....and of course we haven't taken into account bad weather/fog/rain etc where the sun is obscured...possibly for days. Does this indicate then that the structure would be built and the "hole" made afterwards to suit? Worth considering?