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Length of a Degree of Latitude and Longitude
This page allows calculation of one degree of latitude and longitude. Lengths are calculated in nautical miles, statute miles, feet, and meters.
Latitude:
(degrees)
     
Length of a Degree of Latitude:
Meters
Feet
Nautical Miles
Statute Miles
Length of a Degree of Longitude:
Meters
Feet
Nautical Miles
Statute Miles

Altitude Correction for Air Temperature
Note: all empty input fields are computed as zero
Apparent Altitude:
(degrees)
(minutes)
Air Temperature:
(Specify Units)
degrees Fahrenheit degrees Centigrade
  
Altitude Correction: (minutes)

Compass Error from Amplitudes Observed on the Celestial Horizon
Latitude of the Observer:
(degrees)
Declination of the Celestial Body:
(Sun, Star or Planet)
(degrees)
Compass Bearing:
(degrees)
     
Amplitude: (degrees)
Azimuth (Zn): (degrees)
Compass Error: (degrees)

Correction of Barometer Reading for Gravity
Latitude:
(degrees)
Observed Reading of the Barometer:
(inches of mercury)
     
Barometer Correction: (inches of mercury)

Correction of Barometer Reading for Height Above Sea Level
Height of the Barometer Above Sea Level:
(feet)
Outside Temperature:
( F)
     
Barometer Correction: (inches of mercury)

Correction of Barometer Reading for Temperature
Temperature:
(° F)
Observed Reading of the Barometer:
(inches of mercury)
     
Barometer Correction: (inches of mercury)

Distance of an Object by Two Bearings
First Bearings to Object:
(degrees)
(minutes)
Second Bearings to Object:
(degrees)
(minutes)
Distance between Bearings:
     
Distance to Object at Bearing 2:
Distance to Object When Abeam:

Compass Error from Amplitudes Observed on the Visible Horizon
Latitude of the Observer:
(degrees)
Declination of the Celestial Body:
(Sun, Star or Planet)
(degrees)
Compass Bearing:
(degrees)
     
Amplitude: (degrees)
Azimuth (Zn): (degrees)
Compass Error: (degrees)

Dip of the Sea Short of the Horizon
Height of Eye of the Observer Above Sea Level (specify units):
feet meters
Distance to the Waterline of the Obstruction:
(Nautical Miles)
     
Dip short of the Sea Horizon: (Minutes of Arc)

Altitude Factors and Change of Altitude in a Given Time from Meridian Transit
Altitude Factors: This form calculates the change in the altitude of a celestial body in one miute of time from meridian transit. The values are accurate if the altitude is between 6° and 86°, the lattitude is not more than 60°, and the declination is not more than 63°. The result is used as input to the following form.
Latitude of the Observer:
(degrees)
Declination of the Celestial Body:
(degrees)
Transit:
Upper Transit    Lower Transit
     
Altitude Factor: (seconds of arc)



Change of Altitude in Given Time from Meridian Transit
Altitude Factor:
(from above)
(seconds of arc)
Meridian Angle:
(minutes of time)
     
Change of Altitude: (minutes of arc)

Great Circle Sailing
Note: Enter degrees, minutes and decimal minutes or degrees, minutes, seconds and decimal seconds
Origin (Initial Position)
Latitude:
degrees minutes seconds
Longitude:
degrees minutes seconds
Destination (Final Position)
Latitude:
degrees minutes seconds
Longitude:
degrees minutes seconds
     
Results:
Initial Course : degrees true
Great Circle Distance : nautical miles



Great Circle Sailing
Way Point Calculations
Way Point Longitude:
degrees minutes seconds
Way Point Latitude:
degrees minutes seconds
     


Distance of the Horizon
Given the Height of Eye, Compute the Distance to the Horizon
Height of eye (specify units):
feet meters
     
Distance to the Horizon:
(Nautical Miles)
(Statute Miles)

Relative Humidity and Dew Point
This form will compute the relative humidity given the dry and wet-bulb temperatures.
Dry-Bulb Temperature:
(° F)
Wet-Bulb Temperature:
(° F)
     
Relative Humidity: %
Dew Point: (° F)

Latitude and Longitude Factors
Latitude:
(degrees)
Azimuth:
(degrees)
     
The Change of Latitude for a Unit Change in Longitude:
The Change of Longitude for a Unit Change in Latitude:

Barometer Measurement Conversions
This form allows conversion from one barometer measurement scale to the others. Indicate value you are supplying by selecting the appropriate radio button.
Millibars:
Inches:
Millimeters:
     

Meridian Angle and Altitude of a Body on the Prime Vertical Circle
Declination of the Celestial Body:
(degrees)
Latitude of the Observer:
(degrees)
     
Altitude: (degrees)
Meridian Angle: (degrees)

Conversion for Meters, Feet and Fathoms
Given Meters, Compute Feet and Fathoms
Meters:
     
Results:
Feet:
Fathoms:
Given Feet, Compute Meters and Fathoms:
Feet:
     
Results:
Meters:
Fathoms:
Given Fathoms, Compute the Meters and Feet:
Fathoms:
     
Results:
Meters:
Feet:

Mercator Sailing
Origin (Initial Position)
Latitude:
degrees minutes
Longitude:
degrees minutes
Destination (Final Position)
Latitude:
degrees minutes
Longitude:
degrees minutes
Results :
Course to make : degrees true
Distance to make : nautical miles
Culmulative Distnace : nautical miles

Table of Offsets
Altitude:
Distance from the Intercept to the Point on the LOP to be Offset:
     
Offset:

Meridional Parts
This page allows calculation of the meridional parts used in the construction of Mercator charts and in Mercator sailing for each minute of latitude from the equator to the poles.

Enter the latitude for which the meridional part is desired. Latitudes may either be entered as decimal degrees by only filling in the degrees field or as degrees and minutes by entering the values in the appropriate fields.
Latitude:
(degrees)
(minutes)
     
Calculated Meridional Parts:

Altitude Correction for Atmospheric Pressure
Apparent Altitude:
(degrees)
(minutes)
Atmospheric Pressure:
(specify Units)
(degrees)
inches of mercury millibars
     
Altitude Correction: (minutes)

Geographic Range
Given the Height of the Light Above Sea Level and the Height of the Eye of the Observer above Sea Level, Compute the Geographic Range
Height of the Light above Sea Level (specify units):
feet meters
Height of the eye of the Observer above Sea Level (specify units):
feet meters
     
Geographic Range: (Nautical Miles)

Natural and Numerical Chart Scales
Given the Scale, Compute Nautical Miles, Statute Miles and Feet
Scale:
     
Results:
Nautical Miles Per Inch:
Statute Miles Per Inch:
Inches Per Nautical Mile:
Inches Per Statute Mile:
Feet Per Inch:


Natural and Numerical Chart Scales
Convert Nautical Miles to Statute Miles
Nautical Miles:
     
Statute Miles:


Natural and Numerical Chart Scales
Convert Statute Miles to Nautical Miles
Statute Miles:
     
Nautical Miles:

Speed for Measured Mile


Speed for a Measured Mile
Given the Time in Seconds, Compute the Speed in Knots
Elapsed time in seconds:
     
Speed in knots:


Speed, Time and Distance
Given Two Values, Compute the Third:
Speed in knots:
Elapsed time in minutes:
Distance in nautical miles:
     

Pub 229
This page allows calculation of the data in the Sight Reduction Tables for Marine Navigation (Pub. No. 229).

The main purpose of this calculator is to facilitate the practice of celestial navigation at sea.  A secondary purpose is to provide the solutions of a spherical triangle of which two sides and the included angle are known and it is necessary to find the values of the third side and adjacent angle.
Latitude:
(degrees) Same name as declination
(minutes) Contrary name as declination
Declination:
(degrees)
(minutes)
Local Hour Angle (LHA):
(degrees)
(minutes)
     
Altitude (Hc): (degrees)
(minutes)
Azimuth (Z): (degrees)
(minutes)

Temperature Conversions
This form allows conversion from one temperature scale to the others. Indicate which scale you are supplying the value for by selecting the appropriate radio button.
Fahrenheit Temp:
(degrees)
Celsius Temp:
(degrees)
Kelvin Temp:
(degrees)
     

Traverse
This page allows calculation of the data in the Traverse table. Enter known data in the appropriate fields. Place checkmarks next to the fields you want calculated. (Note: At least two of the four values must be provided.)
Course Angle:
(degrees) (minutes)
Difference of Latitude:
(degrees) (minutes)
Departure:
(Nautical Miles)
Distance:
(Nautical Miles)
     

Logarithmic and Trigonometric Functions Calculator
This calculator will calculate logarithms, trigonometric functions, and the logarithms of trigonometric functions.

Enter the value you want to apply the function to in the field on the right. To calculate the logarithm of the value, check the logarithm box. To calculate the trigonometric function on the value, select the desired function from the list. To calculate the logarithm of a trigonometric function applied to the value, check the logarithm box and choose a trigonometric function.
Check to compute the logarithm:
log10
Choose a trigonometric function (or none):
none sine cosine
tangent cotangent secant
cosecant
Enter a value:
(Enter all angles in decimal degrees)
     
Result:

Distance by Vertical Angle Measured Between Sea Horizon and Top of Object Beyond Sea Horizon
Corrected Vertical Angle:
(degrees) (minutes)
Height of Object Above Horizon (specify units):
feet meters
Height of the Eye of the Observer (specify units):
feet meters
     
Distance: (Nautical Miles)

Distance by Vertical Angle Measured Between Waterline at Object and Top of Object
Corrected Vertical Angle:
(degrees)
(minutes)
Height of Object Above Horizon (specify units):
feet meters
     
Distance: (Nautical Miles)

Distance by Vertical Angle Measured Between Waterline at Object and Sea Horizon Beyond Object
Corrected Vertical Angle:
(degrees)
(minutes)
Height of the Eye of the Observer (specify units):
feet meters
     
Distance in Yards:

Direction and Speed of True Wind
This form will compute the difference between ship heading and true wind direction and true wind speed. Difference between ship heading and apparent wind direction and apparent wind speed must be provided. Note that if apparent wind speed is supplied in knots, it is necessary to supply the ship speed in knots.
Difference Between Heading and Apparent Wind Direction:
(degrees)
Apparent Wind Speed: (Specify Units)
Units of Ship's Speed Knots
Ship's Speed:
(knots)
     
Difference Between Heading and True Wind Direction: (degrees)
True Wind Speed: (units of ship's speed) (knots)

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