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Tools Backfocus Solver

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.

Sky-Watcher 0.92x Flattener for Esprit 70EDX / Evostar 100EDX (S20216)

Unverified figuresource
Backfocus55.00mmmeasured from Not stated: Sky-Watcher USA's spec table gives "Corrector Back Focus : 55mm" with no face
Output thread
M48x0.75
Tolerance
±0.50 mm (working default; the manufacturer publishes none)
Designed for
Evostar 100EDX, Esprit 70EDX (compatible per Sky-Watcher, but its backfocus for the 70EDX conflicts; not linked)

Sky-Watcher USA spec table, SKU S11145 (Evostar 100EDX): "Corrector Name : Esprit 70EDX/Evostar 100EDX flattener", "SKU : S20216", "Reduction (reducer only) : 0.92x", "Corrector Thread size : M56x1 female/48mm male", "Corrector Back Focus : 55mm", "Focal Length with reducer installed : 644mm". Product page (https://www.skywatcherusa.com/products/esprit-70edx-flattener): "Compatible with Esprit 70EDX and Evostar 100EDX." The face is not stated, and the M48 pitch is not stated. Illuminated field 43 mm (US table) vs 40 mm (skywatcher.com); left out. For the Esprit 70EDX, Sky-Watcher's sources disagree: 55 mm (this table, 100EDX block), 66 mm (the 70EDX's own block, identical to the old Esprit 80ED) and 91.2/100.06 mm (the 70EDX manual). The 70EDX is therefore not linked to this row.

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

ToupTek SkyEye26AC-plus

Verified against the manufacturersource
Flange to sensor17.50mmfemale M42 mount face to sensor, camera as shipped
Input thread
M42x0.75
Sensor
23.4 × 15.7 mm · 3.76 µm pixels

"The female flange to the sensor is 17.5mm" with the M42x0.75 mount it ships with. The manual also lists 12.5 mm. Touptek's ATR quick guide: "By replacing the included M42 external thread ring, the back focus length ... can be reduced to 12.5mm". The thread the bare body then presents is not stated, so that configuration is not catalogued.

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: the spacers you own, 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 an example 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: quote the same corrector from a different thread and the figure changes.

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.

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 have tighter tolerances.

Lengths and threads are solved together, because a ring of the right length can still have the wrong thread. 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 each extra joint adds a chance of tilt. When an exact stack exists that needs more rings, the result shows that one too. 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.

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