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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 Esprit 120EDX Flattener (S20218)

Verified against the manufacturersource
Backfocus72.00mmmeasured from edge marking the start of the male M62x1 thread on the flattener's exit (Esprit 120EDX manual)
Output thread
M62x1
Tolerance
±1.00 mm, published
Image circle
44 mm
Designed for
Esprit 120EDX only

Manual (202506V1): "The 72mm distance is measured from the edge marking the start of the male thread on the field flattener, to the CCD sensor" (caliper photo 72.00). The same manual also gives 75 mm "from the back of the field flattener (flat surface at the exit) to the focal plane ... exactly (+-1mm)". The two datums are 3 mm apart and plausibly both right, but Sky-Watcher never says so. UNVERIFIED: that the flat exit face sits 3 mm behind the thread start. The ±1 mm tolerance is the manual's. Exit thread M62x1 male (custom ring: "A female M62x1 thread"). "not compatible with other telescopes".

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

ZWO ASI071MC Pro

Verified against the manufacturersource
Flange to sensor17.50mmM42 female flange face to sensor, camera as shipped
Input thread
M42x0.75
Sensor
23.6 × 15.6 mm · 4.78 µm pixels

Most explicit reference face in the ZWO range: "The M42 female flange to the sensor is 17.5mm."

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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