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Great Circle vs Rhumb - Distance Comparison

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Compare great-circle and rhumb-line distance between two points - the standard ocean-passage routing decision.

Formula

$$ d_{gc} = R \arccos(\sin\phi_1 \sin\phi_2 + \cos\phi_1 \cos\phi_2 \cos(\Delta\lambda)) $$

Symbol legend

SymbolMeaningUnitSource
$\phi_1, \phi_2$Latitudesdegchart
$\Delta\lambda$Difference of longitudedegchart

Sources

  • Bowditch Pub.9 Ch.24.