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Rhumb Line Course and Distance Calculator

Calculate rhumb line bearing and distance between two lat/lon coordinates.
Returns true course in degrees, distance in nm and km, and great circle comparison.

Rhumb Line Course

Rhumb Line (Loxodrome) A rhumb line crosses every meridian at the same angle — it is a constant compass course. On a Mercator chart, rhumb lines appear as straight lines.

Rhumb Line Bearing Δψ = ln(tan(π/4 + lat2/2) / tan(π/4 + lat1/2)) — the Mercator factor. θ = atan2(ΔL, Δψ) — the constant compass course.

Rhumb Line Distance d = √(Δφ² + q² × ΔL²) × R Where q = Δφ/Δψ (or cos(lat1) if nearly equal latitudes), R = 6371 km.

Rhumb vs Great Circle The great circle is the shortest path between two points on a sphere. The rhumb line is longer but navigationally simpler — constant heading, no course corrections needed.


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