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Two-Body Celestial Fix

Estimated position-error (covariance-based) of a two-body celestial fix given sight crossing angle and per-sight random error.

CelestialFixSights
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Formula, assumptions, and limits

σfix=σLOP2sinθ\sigma_{fix} = \frac{\sigma_{LOP} \sqrt{2}}{\sin \theta}
SymbolMeaningUnit
θ\thetaAngle between LOPsdeg
σLOP\sigma_{LOP}Per-sight error (1σ)nm

Source: Bowditch Pub.9 Ch.22

In short

Estimated position-error (covariance-based) of a two-body celestial fix given sight crossing angle and per-sight random error.

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