Hobbies: Photo, Music & Garden

Telescope Magnification Calculator (FOV, Exit Pupil)

Enter the telescope’s aperture and focal length and the eyepiece’s focal length and apparent field.

Your numbers

Your results

Magnification
Magnification
—
True field of view (degrees)
—
Exit pupil (mm)
—
Focal ratio
—
Highest useful magnification (about 2× aperture in mm)
—
Resolving power, Dawes limit (arcseconds)
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Telescope Magnification Calculator (FOV, Exit Pupil) by TheCalcTools

How the Telescope Magnification Calculator (FOV, Exit Pupil) works

Magnification = telescope focal length ÷ eyepiece focal length (times any Barlow factor). The true field of view is the eyepiece’s apparent field divided by the magnification; the Moon is about 0.5° across.

Exit pupil = aperture ÷ magnification; around 2 to 7 mm suits most viewing. Above about twice the aperture in millimetres, images get dimmer without showing more detail.

The formula

M = f_telescope ÷ f_eyepiece; true field = apparent field ÷ M; Dawes limit = 116 ÷ D(mm)″

Worked example

Using the default values shown in the calculator:

Aperture (mm)200
Telescope focal length (mm)1200
Eyepiece focal length (mm)25
Eyepiece apparent field (degrees)52
Barlow lens factor1
  1. A 1,200 mm telescope with a 25 mm eyepiece magnifies 48×.
  2. True field 1.08°, exit pupil 4.17 mm.

Result:

Magnification48
True field of view (degrees)1.08
Exit pupil (mm)4.17
Focal ratiof/6.0
Highest useful magnification (about 2× aperture in mm)400
Resolving power, Dawes limit (arcseconds)0.58

Frequently asked questions

Is higher magnification better?

No. Atmosphere and aperture limit detail; most good views are at moderate power.

Sources and further reading

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This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.