Focalyard
Simulated view: the Milky Way over a dark horizon, with a small telescope in silhouette.Simulated view · SVG illustration

focalyard.com

Calculate magnification first. Then buy eyepieces.

Focalyard works out what a telescope and an eyepiece will show before you buy either. Every number has a formula, and every formula is on the page.

Open the calculatorCheck an eyepiece

A 25 mm eyepiece in a 1200 mm telescope gives 48x. Everything else follows from that division.

1200 mm ÷ 25 mm48x

Max useful 406x · exit pupil 4.2 mm

Chapter I · Calculators

Telescope Magnification Calculator

Telescope, eyepiece, Barlow. Get the power, the useful range and the exit pupil.

Run your numbers
Four black eyepieces standing on a slate surface under a soft studio light.

Chapter II · Calculators

Eyepiece Calculator

Field of view and exit pupil for any eyepiece, with the Moon drawn to scale in the field.

Check an eyepiece

32 · 15 · 6 mm3

Low, medium and high power

Chapter III · Eyepieces

How to Choose Telescope Eyepieces

Three focal lengths cover most nights. Here is how to find yours.

Read the guide

4 · 6 · 8 · 10 in116″

Dawes limit ÷ aperture in mm

Chapter IV · What you can see

What Size Telescope Do You Need?

What each aperture shows on the Moon, the planets and the deep sky.

Compare apertures
A small white refractor on a cloth, an eyepiece, a closed notebook with a pencil and a loupe on a wooden desk by a twilight window

Chapter V · Method

How We Research

Every number on this site comes from one constants file and a written formula. Here is the path from spec sheet to page.

See the method

Every number has a formula.

Magnification
focal length ÷ eyepiece
Useful ceiling
aperture × 2
Exit pupil
aperture ÷ magnification
True field
apparent field ÷ magnification