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Telescope Magnification Calculator

Calculate telescope magnification from focal lengths, eyepiece power, and angular field of view.

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What Is Telescope Magnification?

Magnification tells you how much larger a telescope makes an object appear compared to the naked eye. It depends on the telescope focal length and the eyepiece focal length. Higher magnification shows finer detail but on a smaller slice of sky.

Magnification Formula

$$M = \frac{f_{\text{telescope}}}{f_{\text{eyepiece}}}$$

Both focal lengths are in the same units, usually millimeters. Example: a 1000 mm telescope with a 25 mm eyepiece gives \(M = 1000/25 = 40\times\).

Practical Magnification Limits

Useful magnification is often limited by aperture and atmospheric seeing. A common rule of thumb is about 50× per inch of aperture for visual observing. Very high power also darkens extended objects and shrinks field of view.

Related tools: Telescope Field of View Calculator and Lens Magnification Calculator.

Frequently Asked Questions

How do I increase magnification?

Use a shorter focal length eyepiece or a longer focal length telescope. A 2× barlow lens also doubles effective magnification.

What eyepiece gives 100× on a 1200 mm scope?

Rearrange \(f_{\text{eyepiece}} = f_{\text{telescope}}/M = 1200/100 = 12\) mm.

Does magnification affect brightness?

Yes for extended objects. Spreading the same light over a larger apparent area makes nebulae and galaxies look dimmer at high power.

Is there a minimum useful magnification?

Very low power can waste aperture on a tiny exit pupil. Many observers stay above roughly 5× to 8× per inch of aperture for comfortable views.

Do focal lengths need to be in millimeters?

Only the ratio matters. Millimeters are standard for telescope and eyepiece specs, so both values should use the same unit.