7/22/2019 Haversine Formula Fro Excel

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Haversine Formula

The haversine formula is an equation giving great circle distances between two points on a sphere

from their longitudes and latitudes.

If A, B & C are three points in sphere surface, Then;

Haversine Formula

The Cosine form;

Simplified formula used in distance calculation;

If A(Lon1, Lat1) & B(Lon2, Lat2) are two points in earth

surface and "a" is the distance between two points.

o : Center of the earth.

R : Radius of the earth.

Longitude & Latitude values should be in Radiant.

Then Formula;

Above simplified formula used in excel as a function to calculate distance between site and each

recorded Rx level point. All the recorded Rx level points export to excel format with respect to

coordinates by using Actix Analyzer.Written sample formula in Excel;

where;

A1 : Latitude of Point A

A2 : Latitude of Point B

B1 : Longitude of Point A

B2 : Longitude of Point B

All the coordinates were in degree. assumed earth radius as 6371km.

)2/(sin)sin(

)(sin)sin()sin()sin()sin(

2cchaver

ehaverbabahaverchaver

)cos()sin()sin()cos()cos()cos( babac

C

B

A

c

a

b

o

B(Lon2, Lat2)a

A(Lon1, Lat1)

R

))2

12(sin)1cos()2cos()

2

12(sinarcsin(2 22

LonLonLatLat

LatLatRa

Distance= RadiusEarth*((2*ASIN(SQRT((SIN((RADIANS(A1)-RADIANS(A2))/2)^2)+

COS(RADIANS(A1))*COS(RADIANS(A2))*(SIN((RADIANS(B1)-RADIANS(B2))/2)^2)))))