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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 minimum distance d is the distance along a great circle that runs through s and t. It is calculated in a plane that contains the sphere center and the great circle, , =, where θ is the angular distance of two points viewed from the center of the sphere, measured in radians.
For US waters, the US Code of Federal Regulations require ships and their masters to calculate UKC based on the ship's deepest navigational draft. 33 CFR 157.450 The regulations require the master to discuss the UKC calculation with the maritime pilot as the ship approaches US ports/waters. 33 CFR 157.450
The haversine formula determines the great-circle distance between two points on a sphere given their longitudes and latitudes. Important in navigation , it is a special case of a more general formula in spherical trigonometry , the law of haversines , that relates the sides and angles of spherical triangles.
Dimensional weight, also known as volumetric weight, is a pricing technique for commercial freight transport (including courier and postal services), which uses an estimated weight that is calculated from the length, width and height of a package.
The TSR is about 3,900 kilometres (2,100 nmi) long and offers significant distance savings between Europe and Asia. It is the shortest of the Arctic shipping routes. In contrast to the Northern Sea Route and the Northwest Passage, which are both coastal routes, the TSR is a mid-ocean route and passes close to the North Pole. [4]
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Global freight volumes according to mode of transport in trillions of tonne-kilometres in 2010. In 2015, 108 trillion tonne-kilometers were transported worldwide (anticipated to grow by 3.4% per year until 2050 (128 Trillion in 2020)): 70% by sea, 18% by road, 9% by rail, 2% by inland waterways and less than 0.25% by air.