Distance between 2 points in geo coordinates

Everyone knows hot to calculate the distance between 2 points on the surface of the Earth, given their contact details?

(for example: 1=30.45N/43.23E and 2=35.11N/19.05W)

A program for HP50G or 42, or 41 c would be fine, a formula or algorithm as well.

Hello andy11

Forms are to is supported on a perfect sphere (which is not true for the Earth, but it makes it easier):

The way is to calculate the secant between two points and then calculate the length of the arc between the two points.

LA1/2 = Latitude of the point 1/2

LO1/2 = Longitude of the point 1/2

Transform in x, y, z coordinates on the unit sphere:

X 1/2 = cos(La1/2) * cos(Lo1/2)

Y1/2 = cos(La1/2) * sin(Lo1/2)

Z1/2 = sin(La1/2)

Calculate secant length s:

s = ((x2-x1) ^ 2 + (y2 - y1) ^ 2 + (z2 - z1) ^ 2) ^ 0.5

Half of the s is a sin of angle between the points:

distance on the sphere:

d = RE * 2 * arcsin(s/2)

That's it, easy to transfer this for RPL. The results are of course proven RE RADIUS, so results may differ a bit.

Greetings

calcpeace

Tags: HP Tablets

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