haversine formula
Mathematics
noun
A formula involving haversines which allows the shortest distance between two points on the surface of a sphere to be calculated using the longitude and latitude of each point.
- For two points on a sphere of radius r and having latitudes λ1, λ2 and longitudes ϕ1, ϕ2, the distance d between them is given by d = 2r arcsin (√h), where h = haversin (ϕ2 − ϕ1) + cos ϕ1 cos ϕ2 haversin (λ2 − λ1)..
Origin
Early 20th century; earliest use found in Mathematical Gazette.
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