28 September 2014 sky & telescope
Astronomical Experiment
Reliving
The authors observed the 2012 transit of Venus to replicate
experiments from past centuries.
Rod Pommier & Richard Smith
Thousands of people traveled great distances to observe
the fi nal transit of Venus in our lifetimes on June 5-6, 2012.
Transits of Venus are extremely rare, occurring in pairs 8
years apart followed by intervals of more than a century.
Each transit is a historical event, but they were particularly
important to astronomers of previous centuries because
they provided, in theory, a good way to measure the actual
distances between the planets and the Sun.
Kepler’s third law of planetary motion, which states that
the square of a planet’s orbital period is proportional to the
cube of its distance from the Sun, had profound implica-
tions. Knowing each planet’s orbital period, astronomers
had calculated all their relative distances, expressed as units
of the unknown mean distance from Earth to the Sun — the
astronomical unit (a.u.). The problem was that nobody knew
any of the actual distances. If astronomers knew the actual
distance between any two objects, then they could calculate
all distances in the solar system, including the a.u.
In 1716 Edmond Halley proposed observing the 1761
and 1769 transits of Venus from widely separated locations
to determine the distances to Venus and the Sun. Slight
diff erences in transit duration would permit accurate place-
ment of the apparent position of the transit lines on the
Sun’s disk. The angular separation between transit lines
could then be measured in degrees. If the distance between
observers was known precisely, simple trigonometry would
yield the distance to Venus and the a.u. The technique relied
heavily on precise timing of the moments when Venus’s
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