Tools to compute geographical coordinates calculations. Geographic geometry is non-euclidean and uses method of three dimensional space in order to locate geographic coordinates.
Geographic Coordinates Calculation - dCode
Tag(s) : Geography
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Geographic Coordinates Calculation
Median (Middle) Point Calculator
Destination (Arrival) Calculator
Azimuth Calculation
Answers to Questions (FAQ)
What is a calculation of geographic coordinates? (Definition)
A geographic coordinate calculation is the name given to any operation using GPS coordinates (latitude and longitude) to determine another geographic location of an object, place or point.
Calculations are essential for various applications, including navigation and cartography.
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 $ (azimuth 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:
$$ \phi_2 = \arcsin \left( \sin(\phi_1) \cos(\frac{d}{R}) + \cos(\phi_1) \sin(\frac{d}{R}) \cos(\theta) \right) \\ \lambda2 = \lambda1 + \operatorname{atan2} \left( \sin(\theta) \sin(\frac{d}{R}) \cos(\phi_1), \cos(\frac{d}{R}) − \sin(\phi_1) \sin(\phi_2) \right) $$
NB: this formula uses the atan2 function defined as $$ \operatorname{atan2}(y,x) = 2 \arctan{ \frac{ y }{ \sqrt{x^2+y^2} + x } } = 2 \arctan{ \frac{ \sqrt{x^2+y^2} - x }{ y } } $$
All angles are in radians. The distances $ d $ and $ R $ must have the same unit, the result will be in that same unit (usually meters or kilometers).
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.
Source code
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- Median (Middle) Point Calculator
- Destination (Arrival) Calculator
- Azimuth Calculation
- What is a calculation of geographic coordinates? (Definition)
- How to calculate a point at equal distance of 2 others?
- How to calculate a finish point when having a starting point?
- How to find a GPS coordinate from a given address?
