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Telescope Magnification Calculator

Make use of the free Telescope Magnification Calculator tool to set the scope for both amateur and professional astronomical observations in no time. Simply provide telescope characteristics, image properties details in the input sections and hit on the calculate button to make your calculations faster.

Telescope Magnification Calculator: Learn the step by step process to find the magnification of a telescope from the following sections. This Telescope Calculator makes it easy and gives the surface brightness and star magnitude limit within a fraction of seconds. Get to know more about how a telescope works, the telescope magnification equation and many more from this page. Also, check out the example questions for an understanding of the concept.

How to Calculate Maginification of a Telescope?

Below provided are the simple steps to find a magnification. Follow these guidelines and get the result for your numbers in ashort span of time.

  • Observe the objective's diameter, f-ratio, eyepiece local length of the telescope.
  • Get resolving power, scope field of view of the image.
  • Divide the focal length of the objective by the eyepiece's focal length to get the image magnification.

Telescope Magnification Equation

The telescope is a device that is used to see distant objects. It has two main elements objective and eyepiece. Here, the objective is nothing but a mirror or lens and an eyepiece is a set of lenses that corrects the beam direction.

The important thing is that the telescope objective collects the light from the aperture and processes it through the smaller surface of the eyepiece. The quantity of light that enters, exit the telescope is equal so the image is not only magnified but also its brightness increases significantly.

The maginification of teleascope formula is given by

M = fo / fe


fo is the objective focal length

fe is eyepiece focal length

M is the image maginification

We can say that the magnification of the telescope increases when the focal length of the object increases or when the eyepiece focal length decreases.

Telescope Parameters for Magnification

The parameters of the adjusting telescope are along the lines:

  • Do is the objective diameter
  • fr is the f-ration which is the ratio between focal length and objective diameter fr = fo/Do
  • fe is the eyepiece focal length
  • FOVe is view eyepiece
  • Pr is the resolving power. Pr = 11.58"/Do
  • FOVs is the scope field of view. FOVs = FOVe/M
  • Dep is the diameter of the exit pupil. Dep = Do/M
  • SB is the surface brightness, SB = 2Dep2
  • Lm is the star maginitude limit. Lm = 2 + 5log(Do)
  • Mmin is the minimum magnification.


Question: What is the angular magnification of a telescope that has a 100 cm focal length objective and a 2.50 cm focal length eyepiece?


Given that

The focal length of objective lens = 100 cm

The focal length of the eyepiece = 2.50 cm

The maginification of a telescope equation M = fo/fe

= 100/2.50

= 40

Therefore, the angular magnification of the telescope is 40.

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Frequently Asked Questions on Telescope Magnification Calculator

1. How to calculate the magnification of a telescope?

To calculate the magnification of a telescope easily use our free Telescope Magnification calculator. Enter the inputs such as the diameter of the objective f-ratio, the focal length of the eyepiece, resolving power, score field of view and surface brightness details and tap the calculate button. You will get the magnification and star magnitude limit as output within seconds.

2. What is the formula for magnification?

Magnification is the ratio of objective focal length to the focal length of eyepiece. So, its formula is Telescope Magnificatiom M = fo / fe.

3. What is the Telescope Magnification?

Magnification is the measure of how much a telescope magnifies the image of the object. The two types of magnification are linear magnification and angular magnification. Both are used to measure optical instrument magnification and it is denoted by the letter M.

4. What does negative magnification mean?

The negative magnification means the object is inverted.

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