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Geographic Coordinates Calculation

Tools to compute geographical coordinates calculations. Geographic geometry is non-euclidean and uses method of three dimensional space in order to locate geographic coordinates.

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Geographic Coordinates Calculation -

Tag(s) : Geography

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Geographic Coordinates Calculation

Azimuth Calculation

How to find a GPS coordinate from a given address?

Use geocoding / geolocalisation function also available on dCode. It is not a calculation but of an association between an address and coordinates (latitude, longitude) on a map.

How to calculate a point at equal distance of 2 others?

dCode calculate the median (middle) point on a sphere with the same radius as Earth (it is not the same than on a plan).

Example: Take the coordinates P1 (45.678 N, 5.4321 E) and P2 (46.810 N, 5.1015 E), the median point is located (46.2441 N, 5.2685 E), whereas on a 2D plane it would have been slightly shifted (46.2440 N, 5.2668 E).

How to calculate a finish point when having a starting point?

Knowing the starting point $(\phi_1, \lambda_1)$ (latitude, longitude) the direction $\theta$ (from the north) and the distance $d$ on a sphere of radius $R$, dCode can calculate the path (calculations in radians) and find the arrival coordinates $(\phi_2, \lambda_2)$ by the formula:

$$\phi_2 = \arcsin \left( \sin(\phi_1) \cos(\frac{d}{R}) + \cos(\phi_1) \sin(\frac{d}{R}) \cos(\theta) \right) \\ \lambda2 = \lambda1 + \operatorname{atan2} \left( \sin(\theta) \sin(\frac{d}{R}) \cos(\phi_1), \cos(\frac{d}{R}) − \sin(\phi_1) \sin(\phi_2) \right)$$

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