Collimation Calculator
Calculate secondary mirror offset and collimation tolerance for Newtonian reflectors.
About this calculator
This calculator gives two of the numbers an amateur telescope maker needs to collimate (align) a Newtonian reflector. Secondary Offset uses the standard rule from Newtonian collimation references (Suiter's "Star Testing Astronomical Telescopes," a canonical reference in amateur telescope making, and the same figure used in Astro-Baby's and Vic Menard's widely referenced offset guides): the secondary mirror's minor axis divided by four times the focal ratio. In practice the secondary is shifted by this same distance in two directions -- slightly away from the focuser and slightly toward the primary -- so that the fully-illuminated field stays centered on the focal plane instead of drifting off to one side.
A larger secondary mirror needs a larger offset because it has more room to be miscentered; a faster (lower-number) focal ratio needs a larger offset too, because the light cone converges more steeply. Alignment Tolerance applies the classic quarter-wave (Rayleigh) depth-of- focus criterion, 4 x wavelength x (focal ratio)² using 550nm green light -- the wavelength human eyes are most sensitive to -- as the distance a focus point can drift before image quality visibly suffers. Because this scales with the SQUARE of focal ratio, slow telescopes (f/8 and above) are forgiving of small misalignments, while fast telescopes (f/4 and below) demand much more careful collimation for the same reason they're prized for wide, bright fields: the same optical speed that gathers more light per unit time also shrinks the margin for error.
Inputs
Results
Secondary Offset
1.94 mm
Alignment Tolerance
0.079 mm
Figures current as of 1994. Source: H.R. Suiter, Star Testing Astronomical Telescopes: A Manual for Optical Evaluation and Adjustment, Willmann-Bell (1994; 2nd ed. 2008)
How to Use This Calculator
- Enter Focal Ratio (f/X), Primary Diameter (in), and Secondary Minor Axis (in).
- Review Secondary Offset (mm) and Alignment Tolerance (mm).
- Use Collimation Difficulty to gauge how precisely you'll need to align this scope.
- Use the chart to visualize the results and explore different scenarios by adjusting inputs.
How the result changes with Focal Ratio (f/X)
| Focal Ratio (f/X) | Secondary Offset | Alignment Tolerance |
|---|---|---|
| 3 | 3.87 mm | 0.02 mm |
| 4.5 | 2.58 mm | 0.045 mm |
| 9 | 1.29 mm | 0.178 mm |
| 15 | 0.77 mm | 0.495 mm |
What each input means
- Focal Ratio (f/X)
- f/ratio of the primary mirror (lower = faster, more collimation-sensitive)
- Primary Diameter (in)
- Diameter of the primary mirror in inches
- Secondary Minor Axis (in)
- Minor axis dimension of the diagonal secondary mirror in inches
How this is calculated
Worked example, using the default values
- Identify Input ParametersFocal Ratio (f/X) = 6, Primary Diameter (in) = 8, Secondary Minor Axis (in) = 1.83 = 3 input(s) provided
- Calculate Secondary OffsetSecondary Offset1.94 = 1.94
- Calculate Difficulty2 = 2
Figures and sources
- Suiter, "Star Testing Astronomical Telescopes" — standard Newtonian secondary-offset rule (1994) — H.R. Suiter, Star Testing Astronomical Telescopes: A Manual for Optical Evaluation and Adjustment, Willmann-Bell (1994; 2nd ed. 2008)
Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does a bigger secondary mirror need a bigger offset?
Secondary Offset follows the standard rule from Suiter's "Star Testing Astronomical Telescopes," the secondary's minor axis divided by four times the focal ratio, so a physically larger secondary mirror produces a proportionally larger offset at the same focal ratio. This is because the offset exists to recenter the illuminated field on a mirror that itself has more surface area to miscenter -- a small secondary in a fast scope needs only a fraction of a millimeter of offset, while a large secondary in the same scope needs several times more.
Why does Alignment Tolerance shrink so fast as focal ratio decreases?
Alignment Tolerance follows the quarter-wave depth-of-focus rule, which scales with the SQUARE of the focal ratio -- so dropping from f/8 to f/4 (half the focal ratio) cuts the tolerance to a quarter of its value, not half. This is why fast Newtonians (low f-numbers) have a reputation for being fussy to collimate: the same optical speed that makes them compact and wide-field also makes focus and alignment errors visible much sooner.
Is Collimation Difficulty based on the same formula as Alignment Tolerance?
They're driven by the same underlying fact (fast scopes are less forgiving) but Collimation Difficulty is a simple three-tier label -- Easy at f/8 and slower, Moderate from f/5 to f/7, Critical at f/4 and faster -- while Alignment Tolerance is the actual continuous quarter-wave depth-of-focus figure in millimeters. Use the label for a quick read on how careful you'll need to be, and the millimeter figure when you're actually adjusting the secondary with a Cheshire or laser collimator.
Does Primary Diameter affect the Secondary Offset calculation?
Not directly -- Secondary Offset depends only on the secondary's own minor axis and the focal ratio, not the primary mirror's diameter. Primary Diameter does matter for the overall optical design (it sets the focal length together with focal ratio), but once focal ratio and secondary size are fixed, this calculator's offset formula does not change if you enter a larger or smaller primary.
Why is Alignment Tolerance calculated at 550nm specifically?
550 nanometers (green light) is the wavelength human vision is most sensitive to, so it's the conventional reference wavelength for the quarter-wave (Rayleigh) criterion used across amateur telescope-making literature, even though starlight spans the whole visible spectrum. Using a single reference wavelength keeps the tolerance figure comparable across different telescopes and apertures.
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