What a fascinating paper! Although I know the speed of light is finite and have considered many of the implications of relativity, I never thought of the effects on the apparent occultation of two celestial bodies at significant distances from one another relative to the observer. The moon's transit between Earth and Mars would not appear reciprocally the same to observers on both planets. Obvious in retrospect, but the layman does not tend to consider relativistic effects in this kind of simple geometric reasoning.

There's enough distance between us and the Moon that if you had a flashlight bright enough, you could easily perceive the delay between switching it on and seeing the Moon's surface brighten, as the light made the return trip. Something to think about next time you look up at the Moon and wonder about its scale and distance.