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Mercator Sailing

Rhumb-line (constant-course) distance and true bearing between two positions using Mercator meridional parts.

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Formula, assumptions, and limits

tanC=DLoDMP,D=DLatsecC\tan C = \frac{\text{DLo}}{\text{DMP}}, \quad D = \text{DLat} \cdot \sec C
SymbolMeaningUnit
DLoDLoDifference in longitudemin of arc
DMPDMPDifference in meridional parts
DLatDLatDifference in latitudemin of arc
CCRhumb-line course° true
DDRhumb-line distancenm

Source: Bowditch Ch.4; Norie's Nautical Tables

In short

Rhumb-line (constant-course) distance and true bearing between two positions using Mercator meridional parts.

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