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Backfocus Solver

Nearly every corrector wants the sensor a fixed distance behind it, and being 2 mm out puts elongated stars in the corners of every frame you take. This works out the stack that gets you there from parts you already own, and tells you when it can’t.

Every figure below is re-keyed from a manufacturer page or drawing and carries a link to it. Where a number could not be confirmed, the row says so in the list before you pick it — there are no plausible-looking substitutes in this catalogue.

42 rows. 6 could not be confirmed against a manufacturer page or drawing and are marked in the list.

70 rows. 11 could not be confirmed against a manufacturer page or drawing and are marked in the list.

ZWO ASI533MC Pro

Verified against the manufacturersource

17.50 mmfemale M42 face of the fitted 11 mm T2 extender to sensor — with the supplied 11 mm T2 extender fitted

Input thread
M42x0.75
Sensor
11.31 × 11.31 mm · 3.76 µm pixels

Manual v1.2: "When 11mm T2 Extender is removed from camera, back focus length is reduced to 6.5mm." Minor source conflict on sensor diagonal: 16 mm (2024 manual) vs 15.968 mm (v1.2).

Which configuration do you own?Answer this first

This product ships in more than one configuration and they are not interchangeable. Nothing is assumed for you.

Between corrector and camera

Is there an off-axis guider?Answer this first

An OAG sits in front of any filter, where ZWO's charts put it. 6 configurations are catalogued: which adapter faces your camera decides what can follow it.

Is there a filter drawer or filter wheel in the train?Answer this first

It adds its own length and its filter's glass shift, and it often ships with a ring the train needs. 6 are catalogued so far, every one from the manufacturer's drawing or manual.

8 rows, every figure confirmed against a manufacturer source.

Only manufacturer-supplied kits are catalogued so far. Generic aftermarket spacer sets are not here yet, and an invented set of lengths would produce a confident stack out of rings you may not own.

Nothing solved yet

Still needed: a flattener or corrector, the spacers you own, which configuration of the camera you have, whether an off-axis guider sits in the train, whether a filter drawer or wheel sits in the train.

Nothing is filled in on your behalf. Where a product ships in more than one configuration you are asked which one you own, because the two are not interchangeable and the difference is often larger than the tolerance.

Or open a real train

How this is computed

required[mm]  = flattenerBackfocus[mm] + Σ( glassThickness[mm] × (n − 1) / n )
fixed[mm]     = cameraFlangeToSensor[mm] + Σ components[mm]
residual[mm]  = required[mm] − fixed[mm] − Σ rings[mm]

rings: spacers, extenders and adapters you own, each used at most as
many times as you have it, where every ring's thread fits the next

The required distance is the corrector’s own published figure, measured from the face the manufacturer measured it from — which is why every row names that face. The same corrector quoted from two different threads is two different numbers.

Filter glass shifts focus outward, so it makes the required distance longer, by t × (n − 1) / n. The familiar “one third of the thickness” is that expression at n = 1.5 and is wrong by about 2.5% for ordinary filter glass. Where a filter’s glass type is unpublished the solver assumes n = 1.52 and says so in the result rather than burying the assumption.

Tolerance is the corrector’s published figure where it has one, and ±0.5 mm otherwise — the usual working figure for a 55 mm system. Faster systems are tighter than that, not looser.

Lengths and threads are solved together, because a camera kit is not a list of lengths. ZWO’s ASI2600 Pro kit includes an extender that is M48 on one side and T2 on the other: an M48 corrector screws straight onto it, a T2 corrector needs the kit’s 0 mm ring first, and which of those is true decides the stack.

The stack is chosen fewest-pieces-first, because every threaded joint is a place the train can tilt. When an exact stack exists that needs more rings, the result shows it rather than hiding the trade. How the numbers are computed.

Source: docs/03-physics-reference.md § 5 · Agena, “A primer on back focus in astronomy” · ZWO, “The best solution of 55 mm back focal length”. Implemented in packages/physics/src/backfocus.ts, with the worked examples as unit tests.