8_english, Alculating the field of view, Alculating the exit pupil – Sky-Watcher DOB10 User Manual

Page 8: Alculating the magnification (power)

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True Field of View =

Apparent Field of View

Magnification

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alculating 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.

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!

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alculating the Exit Pupil

Exit Pupil =

Diameter of Primary mirror in mm

Magnification

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.

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 citizen. 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.

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alculating the Magnification (Power)

magnification =

=

= 80X

Focal length of the telescope

Focal length of the eyepiece

800mm

10mm

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.

=

0.65°

52°

80X

=

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