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MathsGeometrySpherical

angular Distance

Returns the "distance" in radians (about the spheres centre) between two positions.

Dependents

Info

Interface

C++

AngularDistance

 
doubleangularDistanceconst Position& start
const Position& end )
Calculates the angular between two points on the surface of a sphere relative to the centre of the sphere.

This calculation is made using: where a and b are the start and end location.

Parameters

startthe first Position [Latitude, Longitude].
endthe second Position [latitude, Longitude].

Returns

the distance in radian about the center of the sphere.
Source Code

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Distance

 
doubledistanceconst Position& start
const Position& end
doubleradToDist = 3437.7475 )
Applies a simple conversion to the distance calculated by angularDistance to give a more conventional measure of distance according to the specified conversion ratio. This is simple the circumference of the sphere divided by \inline 2 pi. For example, with the planet earth on degree is divided into 60, which is called 1 minute of arc. This is also one nautical mile. Therefore to convert radian to nautical miles (knots) you muliply by: <table> <tr><td align="middle"><strong>Description</strong></td><td align="middle"><strong>radToDist</strong></td></tr> <tr><td>Nautical Mile on Earth</td><td>3437.7475 knots/radian</td></tr> <tr><td>Miles on Earth</td><td>3956.0881 miles/radian</td></tr> <tr><td>kilometers on Earth</td><td>6366.7070 km/radian</td></tr> </table>

Example 1

Position start(10,-90);
Position end(45,20);
printf("\nKnots = %lf", distance(start, end)); 
printf("\nMiles = %lf", distance(start, end, 3956.0881));

Parameters

startConstant
enda Position reference designating the target location at [Latitude,Longitude].
radToDistDefault Value = 3437.7475

Returns

a Range argument representing the distance to new position, also equal to the 'distance' parameter.
Source Code

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