FA-93828 / Solar tracker geometry / Member archive

Dual-axis pointing error: elevation trig terms · case 03

Azimuth errors near the zenith are reported as huge.

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

Pointing error is the great-circle angle between the commanded direction and the sun: cos(err) = sin e1 sin e2 + cos e1 cos e2 cos(az1 - az2), clamped to [-1, 1]. Return [err degrees rounded 3, err <= tol].

Why this case matters

Single-axis and dual-axis solar trackers turn a sun direction into actuator commands; a sign, frame or limit mistake points a whole plant away from the sun or into a mechanical stop.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
boundary: across north	`[4.995, false]`	`[8.658, false]`	Failed

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