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Azimuth

Tool to compute Azimuth : angle between the direction of an object and the geographic north in the horizontal plan from geographic coordinates.

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Azimuth -

Tag(s) : Geography

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# Azimuth

## Calculation of direction with 2 points

Tool to compute Azimuth : angle between the direction of an object and the geographic north in the horizontal plan from geographic coordinates.

### What is the definition of an Azimuth?

An azimuth is the angle formed by the line passing by the 2 points and the line of the 2 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 is $$\operatorname{azim} = \operatorname{atan2}(y, x)$$ with

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

The angle is calculated by taking as base 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?

It's the same with an orthographic variant, both spellings are accepted.

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