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Isochrone map of the Austro-Hungarian Empire, in 1912. The railway lines are clearly visible. Isochrone map showing drive times around airports in northern Finland, created using GIS software (2011) An isochrone map in geography and urban planning is a map that depicts the area accessible from a point within a certain time threshold. [1]
The distance along the great circle will then be s 12 = Rσ 12, where R is the assumed radius of the Earth and σ 12 is expressed in radians. Using the mean Earth radius, R = R 1 ≈ 6,371 km (3,959 mi) yields results for the distance s 12 which are within 1% of the geodesic length for the WGS84 ellipsoid; see Geodesics on an ellipsoid for details.
The formulas involved can be complex and in some cases, such as in the ECEF to geodetic conversion above, the conversion has no closed-form solution and approximate methods must be used. References such as the DMA Technical Manual 8358.1 [15] and the USGS paper Map Projections: A Working Manual [16] contain formulas for conversion of map ...
A diagram illustrating great-circle distance (drawn in red) between two points on a sphere, P and Q. Two antipodal points, u and v are also shown. The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them. This arc is the shortest path ...
The weekly driving time may not exceed 56 hours. In addition to this, a driver cannot exceed 90 hours driving in a fortnight. Daily rest. Within each period of 24 hours after the end of the previous daily/weekly rest period a driver must take a new daily rest period. An 11-hour (or more) daily rest is called a regular daily rest period.
For example, given a road segment with a 60 miles per hour (97 km/h) design speed except for a curve with a 45 miles per hour (72 km/h) design speed, the entire segment would have a 45 miles per hour (72 km/h) design speed. The road may have a 45 miles per hour (72 km/h) advisory speed on the curve and higher safe operating speeds elsewhere.
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d is the distance between the two points along a great circle of the sphere (see spherical distance), r is the radius of the sphere. The haversine formula allows the haversine of θ to be computed directly from the latitude (represented by φ) and longitude (represented by λ) of the two points:
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