Slowing and bending of light in the vicinity of massive
bodies
Around 1970, Irwin Shapiro and colleagues at MIT's Lincoln
Laboratory measured the times for radar signals to travel to Venus and back to Earth. The
round-trip travel time for the signals was about 1000 seconds when Venus was on the far side
of the Sun from Earth. Shapiro determined that the closer a signal's path was to the Sun, the
greater the slowing of the signals. When a round-trip signal passed within about 10 LS of
the Sun's center, the signal was delayed by about 170 microseconds. When a round-trip signal
passed within about 120 LS of the Sun, the signal was delayed by about 80 microseconds.
The time delays specified by Eqs. (33), (37) and (38) are 182 microseconds and 84
microseconds, in general agreement with experimental results.
The bending of the paths of photons due to the Sun's mass has
also been determined by observing stars and quasars which are seen to pass behind the Sun as
Earth orbits the Sun. The first of these observations was made in 1919 by Arthur Eddington.
The observed bending when a photon's path just grazes the Sun's surface is 1.75 arcseconds,
and the observed bending when the path comes within 78 LS of the Sun's center
is .05 arcseconds. The bendings specified by Eqs. (33), (37) and (38) are
1.746 arcseconds and .051 arcseconds, in agreement with the experimental results.
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