Boresight

Vectors

Analysis conventions — roll, pitch, yaw, zenith

Zenith — direct angle between the vector and +X, range 0–180 deg.
Roll — CCW angle about +X, measured from +Z to the vector's projection in the YZ plane.
Pitch — CCW angle about +Y, measured from +X to the vector's projection in the ZX plane.
Yaw — CCW angle about +Z, measured from +Y to the vector's projection in the XY plane.

Subject / primary theodolites & reference readings

Subject theodolite is the instrument reading the target (a mirror cube face, an optical flat, etc.). Primary theodolite is the reference instrument that defines the azimuth origin for the session.

When subject = primary (one instrument, or two that share an azimuth reference), leave Subj az ref and Prim az ref blank. The pipeline uses the subject's azimuth as-is.

Az / El sec samples: type every arcsec reading you took (space or comma separated). The mean is used for the reduction; σ drives pass/fail vs. your tolerance.

Name	Dir	Subj #	Prim #	Subject azimuth			Subject elevation			Subj az ref			Prim az ref
Name	Dir	Subj #	Prim #	deg	min	arcsec samples	deg	min	arcsec samples	deg	min	sec	deg	min	arcsec samples

Results

Coordinate frames — define + manage

Define a new coordinate frame from two reduced vectors + axis assignments (e.g. detector cube's −Z face → −Z, +X face → +X). After defining a frame, switch the Results panel between any defined frame and the default Facility frame using the Frame selector above — no re-reduction needed. Frames persist with the session.

Run Reduce to see results.

Status

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Vectors

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Max σ (arcsec)

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Mean σ (arcsec)

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Tolerance (arcsec)

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Calibration

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Timestamp (UTC)

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Math hash

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Vector	Dir	Cal. el	Roll	Zenith	DC.x	DC.y	DC.z

Reduced vectors — 3D view

Facility frame — reduced vectors (zenith measured from +X)

+X (zenith ref) +Y +Z Pass Fail

Drag to rotate · scroll to zoom · double-click to reset · click a chip to hide a vector

Imported vectors

Manually-entered direction cosines (e.g. an optical-model chief ray defined relative to the Detector Cube frame). Imports participate in Vector Deltas and re-express in the active Results frame.

No imports yet.

Name	Dir	x	y	z	Defined in	\|v\|

Vector deltas

Direct angle (DMS) between any two reduced or imported vectors. Common use: cube-face perpendicularity checks — values far from 90° 0' 0" indicate a measurement error. Deltas are frame-invariant; they do not change when you switch the Results frame.

No pairs configured. Add a pair to compare two vectors.

Boresight

Session

Vectors

Results

Imported vectors

Vector deltas

History