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The original Naismith 's rule from 1892 says that one should allow one hour per three miles on the map and an additional hour per 2000 feet of ascent. [ 1 ][ 4 ] It is included in the last sentence of his report from a trip. [ 1 ][ 8 ] Today it is formulated in many ways. Naismith's 1 h / 3 mi + 1 h / 2000 ft can be replaced by:
Geographical distance or geodetic distance is the distance measured along the surface of the Earth, or the shortest arch length. The formulae in this article calculate distances between points which are defined by geographical coordinates in terms of latitude and longitude. This distance is an element in solving the second (inverse) geodetic ...
an object of diameter 45 866 916 km at one light-year, an object of diameter one astronomical unit (149 597 870.7 km) at a distance of one parsec, per the definition of the latter. [7] One milliarcsecond is about the size of a half dollar, seen from a distance equal to that between the Washington Monument and the Eiffel Tower.
The equation of time is obtained by substituting the result of the right ascension calculation into an equation of time formula. Here Δt(M) = M + λ p − α[λ(M)] is used; in part because small corrections (of the order of 1 second), that would justify using E, are not included, and in part because the goal is to obtain a simple analytical ...
The Canonical Distance Unit is defined to be the mean radius of the reference orbit. The Canonical Time Unit is defined by the gravitational parameter : where. In canonical units, the gravitational parameter is given by: Any triplet of numbers, and that satisfy the equation above is a “canonical” set. The quantity of the time unit [CTU] can ...
For example, driving distances are normally given in kilometres (symbol km) rather than in metres. Here the metric prefix 'kilo-' (symbol 'k') stands for a factor of 1000; thus, 1 km = 1000 m. The SI provides twenty-four metric prefixes that signify decimal powers ranging from 10 −30 to 10 30, the most recent being adopted in 2022.
Distance moduli are most commonly used when expressing the distance to other galaxies in the relatively nearby universe.For example, the Large Magellanic Cloud (LMC) is at a distance modulus of 18.5, [2] the Andromeda Galaxy's distance modulus is 24.4, [3] and the galaxy NGC 4548 in the Virgo Cluster has a DM of 31.0. [4]
Geographic coordinate conversion has applications in cartography, surveying, navigation and geographic information systems. In geodesy, geographic coordinate conversion is defined as translation among different coordinate formats or map projections all referenced to the same geodetic datum. [1] A geographic coordinate transformation is a ...