Search for a tool
Azimuth

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

Results

Azimuth -

Tag(s) : Geography

Share dCode and you

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!

Please, check our community Discord for help requests!

Thanks to your feedback and relevant comments, dCode has developped the best Azimuth tool, so feel free to write! Thank you !

# 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.

## Source code

dCode retains ownership of the online 'Azimuth' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) no data, script or API access will be for free, same for Azimuth download for offline use on PC, tablet, iPhone or Android !

## Need Help ?

Please, check our community Discord for help requests!