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- In part A
we learned different ways of imaging the Sun. If we image the
Sun on the day of Venus Transit, what we will see is something
like the photograph shown here. The photograph below, of Venus
transiting the Sun, was taken in 1882, more than 120 years back.
On the bright background of the Sun, you can see the small dark
disc of the planet Venus.
- Measure
as accurately as possible, the diameter 'D'
of the sun in the photograph.
- Measure as
accurately as possible the diameter 'V'
of Venus in the photograph.
- Divide D
by V,
you will get a number which is approximately equal to 33.
What
this means is that the diameter of the sun is approximately 33
times the diameter of Venus' image against the sun's background.
- But we must
not forget that in the photograph , Venus, relative to the sun,
is appearing bigger than it really is . This is because, during
a transit of Venus, Venus is much closer to us than the sun. We
are not seeing two objects which are at the same distance from
us. The nearer object appears larger. How much larger is Venus
appearing?
- We know that
the moon is much smaller than the Sun. But it appears to be the
same size due to the fact that it is nearer to us. There are innumerable
instances of a nearer object appearing larger because of its proximity.
The solar eclipse is due to this effect.
- How much
larger is Venus appearing? We can calculate this from the next
experiment, which involves measuring the maximum
angle between the Sun and Venus as seen from the Earth. We
measure this angle at different times of the year. The maximum
angle occurred towards the end of March 2004. The maximum angle
between the Sun and Venus is about 45º (precisely 47º). By a simple
calculation, which is given in Step.4 we deduce that Venus at
the time of transit, is approximately three and half times closer
to us than the Sun. Because of this, Venus appears approximately
about three and a half times (more accurately 3.4 times) larger
than it really is relative to the Sun.
- We must
now multiply 33 by 3.4. We get 112. This means that the suns diameter
is really about 112 times the diameter of Venus. So we now need
to know the diameter of Venus. But what
is the diameter of Venus ? .
Before we come
to this question, let us understand a little better the subject
matter of point Step.7 above.
- Note also
that we now have a simple formula for the sun's distance :
Sun's distance = 110 x Sun's diameter
=
110 x 112 x Diameter of Venus.
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