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Hi Joseph, welcome to IIS, and good on you for studying cool stuff of physics and astronomy.
A nice problem to tackle is to figure out how much distant starlight grazing the Sun would be deflected on the basis of only Special Relativity (SR), Newtonian gravity and the Einstein-Planck formula E=hf, and see if it agrees with General Relativity (GR) predictions (which you can look up).
The solar eclipse experiments of 1919 and 1922 were the first experimental verification of GR, but was it really GR or would have SR and Newtonian physics been just as good?
I actually don't know the answer. I attempted the calculations once and got sensible numbers but I was not thorough enough to draw a firm conclusion and it's been on my long list of things to do properly since. But if you could do it, that'd be awesome, and a really good learning exercise for any student of physics.
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