What convinced physicists that General Relativity was correct?

In this week’s A Moment of Science, Brian Greene describes the astronomical observation which convinced physicists that the General Theory of Relativity was correct.

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[EugeneKhutoryansky]

There are now much better tests corroborating General Relativity, such as measurements done with atomic clocks, but the original experiment measuring the deflection of light around the sun is actually an example of how not to do science, as the instruments had to be adjusted to give a precise answer, and the experimenter kept adjusting the instruments until he received the measurement that he knew he was expecting. Though, subsequent more accurate measurements did confirm that the deflection of light is what Einstein's theory predicted.

[angelcostas]

What a wonderful video... Such a clear and passionate explanation... Thank you Professor Green

[ericjane]

Thank you for the excellent and succinct explanation. Best ever! But Eddington may not agree for not mentioning his name :0

[UCzDwella]

I just got the chills. It's 1:30am and I'm sitting on the toilet.

[JoeDeglman]

It is just atmospheric lensing. Eintein's formula doesn't work for any other solar radii for starlight deflection.
His formula only works at 1 solar radii for which he fudged his formula to match previously observed data.
The Earth's atmosphere deflects light more than the Sun does.

[lovingkat]

hmmm, it seems to be the same angle that the Pyramids of Egypt are set, just saying :)