How does a Distance Calculator work?
The AllCalculatot.net’s Distance Calculator can also calculate the distance in kilometers or miles. The Calculator calculates the distance by determining the values of the two points, and it will calculate the distance between them. The distance is measured even in 2D space and 3D coordinate spaces. Earth's Surface calculates the value with the help of longitude and latitude with the Lambert or Haversine formula.
What is the Lambert formula?
The Lambert formula can calculate the on the Earth's ellipsoid. Suppose you asked to calculate the distance on the Earth's Surface. It is partially correct but has approximately 10 meters. It is more accurate than the Haversine formula.
The formula is d = a(σ - f/2 * (X + Y))
a- radius,
σ-Central angle
f- flatten of the Earth
While the values of x and y are expanded further.
What is a haversine formula? Why is it used?
To find the distance between the two points of an earth's surface haversine formula is used.
The Haversine formula can determine the distance between the two surfaces if the longitude and latitude are provided.
In the following formula
d = 2rsin-1 (√sin²(ϕ2-ϕ1)/2+ cosϕ1) cos(ϕ2) sin² (λ2-λ1/2)
d- distance
r-radius
ϕ1 and ϕ2 -latitude
λ1 and λ2 - longitudes on the radians.
It works by finding the latitude and longitude of the Earth. So it can give an approximate distance from the Earth.
A great circle or the Earth's Surface is the largest sphere. It is constructed or formed by two intersecting planes or spheres. The largest distance of the Earth is the shortest distance between two points.
However, the Haversine formula needs to be more accurate. It may vary by 0.5%. Now it's important to note that the Earth is not a complete sphere. The radius on the equator and pole varies. Hence the Lambert formula is used for the more approximate value.
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