
18
To put this in perspective, the moon is about 0.5° or 30 arc-minutes in diameter, so this combination
would be fine for viewing the whole moon with a little room to spare. Remember, too much
magnification and too small a field of view can make it very hard to find things. It is usually best to
start at a lower magnification with its wider field and then increase the magnification when you have
found what you are looking for. First find the moon then look at the shadows in the craters!
Calculating the exit pupil
The Exit Pupil is the diameter (in mm) of the narrowest point of the cone of light leaving your
telescope. Knowing this value for a telescope-eyepiece combination tells you whether your eye is
receiving all of the light that your primary lens or mirror is providing. The average person has a fully
dilated pupil diameter of about 7mm. This value, varies a bit from person to person, is less until your
eyes become fully dark adapted and decreases as you get older. To determine an exit pupil, you
divide the diameter of the primary of your telescope (in mm) by the magnification.
Exit Pupil = Diameter of Primary mirror in mm
Magnification
For example, a 200mm f/5 telescope with a 40mm eyepiece produces a magnification of 25x and
an exit pupil of 8mm. This combination can probably be used by a young person but would not be
of much value to a senior. The same telescope used with a 32mm eyepiece gives a magnification
of about 31x and an exit pupil of 6.4mm which should be fine for most dark adapted eyes. In
contrast, a 200mm f/10 telescope with the 40mm eyepiece gives a magnification of 50x and an
exit pupil of 4mm, which is fine for everyone.
True Field of View = Apparent Field of View
Magnification =0.65°
52°
80X =
Magnification = = = 80X
Focal length of the telescope
Focal length of the eyepiece
800mm
10mm
Calculating the magnification (power)
The magnification produced by a telescope is determined by the focal length of the eyepiece that
is used with it. To determine a magnification for your telescope, divide its focal length by the focal
length of the eyepieces you are going to use. For example, a 10mm focal length eyepiece will
give 80X magnification with an 800mm focal length telescope.
When you are looking at astronomical objects, you are looking through a column of air that
reaches to the edge of space and that column seldom stays still. Similarly, when viewing over
land you are often looking through heat waves radiating from the ground, house, buildings, etc.
Your telescope may be able to give very high magnification but what you end up magnifying is all
the turbulence between the telescope and the subject. A good rule of thumb is that the usable
magnification of a telescope is about 2X per mm of aperture under good conditions.
Calculating the field of view
The size of the view that you see through your telescope is called the true (or actual) field of view
and it is determined by the design of the eyepiece. Every eyepiece has a value, called the
apparent field of view, which is supplied by the manufacturer. Field of view is usually measured in
degrees and/or arc-minutes (there are 60 arc-minutes in a degree). The true field of view
produced by your telescope is calculated by dividing the eyepiece's apparent field of view by the
magnification that you previously calculated for the combination. Using the figures in the previous
magnification example, if your 10mm eyepiece has an apparent field of view of 52 degrees, then
the true field of view is 0.65 degrees or 39 arc-minutes.