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NAVIGATION TOOLS

Navigation Calculators

Professional navigation calculators for ETA, collision avoidance, sailing calculations, tide heights and compass corrections.

8Calculators
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STCWStandards-based

All Navigation Calculators

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ETA Calculator

Calculate estimated time of arrival based on distance, speed, and departure time

Navigation

ETA = Departure Time + (Distance ÷ Speed)

Distance (NM)Speed (kn)Departure Time

CPA / TCPA Calculator

Closest Point of Approach and time to CPA using relative velocity vectors

Collision Avoidance

CPA = |Own Pos - Target Pos| × sin(θ_rel)

Own CourseOwn SpeedTarget BearingTarget RangeTarget CourseTarget Speed

Great Circle Distance

Shortest distance between two geographic positions on the earth's surface

Sailing

D = 2R · arcsin(√(sin²(Δφ/2) + cos φ₁·cos φ₂·sin²(Δλ/2)))

Lat 1 (°)Lon 1 (°)Lat 2 (°)Lon 2 (°)

Speed–Time–Distance

Solve the STD triangle for voyage planning and passage calculations

Navigation

Speed = Distance ÷ Time | Time = Distance ÷ Speed | Distance = Speed × Time

Speed (kn)Time (hrs)Distance (NM)

Mercator Sailing

Calculate course and distance using D.Long, departure, and meridional parts

Sailing

Course = arctan(D.Long ÷ DMP) | Distance = D.Lat ÷ cos(Course)

Lat From (°)Lon From (°)Lat To (°)Lon To (°)

Tide Height – Rule of Twelfths

Calculate intermediate tide height at any given time using rule of twelfths

Tides

Rise per hr: 1/12, 2/12, 3/12, 3/12, 2/12, 1/12 of tidal range

HW Height (m)LW Height (m)HW TimeTime Required

Compass Error by Celestial Bodies

Determine compass error by comparing true and compass bearings of celestial bodies

Navigation

Compass Error = True Bearing − Compass Bearing

True Bearing (°)Compass Bearing (°)Variation (°)

Course to Steer – Current / Leeway

Calculate the course to steer allowing for tidal stream, current, and leeway

Navigation

CTS = Course Made Good ± Current Correction ± Leeway

Course Made Good (°)Current Set (°)Current Drift (kn)Vessel Speed (kn)Leeway (°)

About Navigation Calculators

These navigation calculators are designed for STCW-certified officers and navigators. They cover the most common calculations performed on the bridge — from simple ETA computations to complex collision avoidance geometry. All calculations follow standard maritime practices as outlined in Bowditch, Reeds, and IMO guidelines.