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In cartography/navigation, an azimuth is the angle (in the plane) formed by the line passing by the 2 points and the line of the two poles.

How to calculate an azimut with 2 points?

From 2 GPS points (Point 1: latitude $ lat_1 $, longitude $ long_1 $ and Point 2 latitude $ lat_2 $, longitude $ long_2 $), the formula to calculate an azimuth $ A $ is $$ A = \operatorname{atan2}(y, x) $$ with

$ \operatorname{atan2}(y,x) = 2 \arctan \frac{y}{\sqrt{x^2+y^2}+x} $, $ x = \cos(lat_1) \times \sin(lat_2) - \sin(lat_1) \times \cos(lat_2) \times \cos(long_2-long_1) $ and $ y = \sin(long_2-long_1) \times \cos(lat_2) $

The angle is calculated by taking as base/reference the north geographic pole.

How to know the time with a compass and azimuth of the sun?

Every hour, the Earth rotates on itself about 15 degrees, so every hour on Earth, the sun is seen 15 degrees further west.

By knowing the azimuth of the sun, solar time can be calculated. At noon, the sun is 180 degrees. Each difference of 15 degrees is 1 hour.

Example: The azimuth of the sun at 165 degrees: it is around 11 am.

Example: The azimuth of the sun at 210 degrees: it is about 2 pm.

The given time is Solar Time.

What is the difference between Azimut and Azimuth?

Azimuth, with or without h, are 2 identical terms, despite the spelling variant, both spellings are accepted.

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