FA-65904 / Aviation weight and balance / Member archive

Index converted to CG without removing the K constant · case 04

The %MAC is several percent aft for every load and does not match the balance chart.

Member previewVariant 4 · 3 implementations · 9 checks per implementation

Case contract

Input {'dow','doi','ref','c','k','lemac','mac','items':[[kg,arm m]]}. Item index = kg*(arm-ref)/c; the dry operating index already contains K. Total index = doi + item indices; CG arm = ref + (index-K)*c/total weight; %MAC = (CG-LEMAC)/MAC*100. Return [index r2, %MAC r1].

Why this case matters

Airline loadsheets carry balance as a dimensionless index offset by K; converting back to %MAC requires removing K and scaling by C over total weight.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
typical cabin and hold	`[49.1, 61.3]`	`[49.1, 37.1]`	Failed

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