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Meridional Parts

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Meridional parts at a given latitude - the core quantity behind Mercator sailing and chart construction.

Formula

$$ M = 7915.704 \cdot \log_{10}\left[\tan\left(45 + \tfrac{\varphi}{2}\right)\right] - 23.013 \cdot \sin\varphi $$

Symbol legend

SymbolMeaningUnitSource
$φ$Latitude°chart / GPS
$M$Meridional parts at latitude φ-result

Sources

  • Bowditch - Meridional parts.
  • Norie’s Tables 41.