|
Earth Section Paths
Earth section paths are plane curves defined by the intersection of an earth ellipsoid and a plane ( ellipsoid plane sections). Common examples include the ''great ellipse'' (containing the center of the ellipsoid) and normal sections (containing an ellipsoid normal direction). Earth section paths are useful as approximate solutions for geodetic problems, the direct and inverse calculation of geographic distances. The rigorous solution of geodetic problems involves skew curves known as ''geodesics''. Inverse problem The inverse problem for earth sections is: given two points, P_1 and P_2 on the surface of the reference ellipsoid, find the length, s_, of the short arc of a spheroid section from P_1 to P_2 and also find the departure and arrival azimuths (angle from true north) of that curve, \alpha_1 and \alpha_2. The figure to the right illustrates the notation used here. Let P_k have geodetic latitude \phi_k and longitude \lambda_k (''k''=1,2). This problem is best solved us ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Unit Vector
In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. A unit vector is often denoted by a lowercase letter with a circumflex, or "hat", as in \hat (pronounced "v-hat"). The term ''direction vector'', commonly denoted as d, is used to describe a unit vector being used to represent spatial direction and relative direction. 2D spatial directions are numerically equivalent to points on the unit circle and spatial directions in 3D are equivalent to a point on the unit sphere. The normalized vector û of a non-zero vector u is the unit vector in the direction of u, i.e., :\mathbf = \frac where , u, is the norm (or length) of u. The term ''normalized vector'' is sometimes used as a synonym for ''unit vector''. Unit vectors are often chosen to form the basis of a vector space, and every vector in the space may be written as a linear combination of unit vectors. Orthogonal coordinates Cartesian coordinates Unit vectors may be us ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal-section Azimuth
An azimuth (; from ar, اَلسُّمُوت, as-sumūt, the directions) is an Angle#Measuring angles, angular measurement in a spherical coordinate system. More specifically, it is the horizontal angle from a cardinal direction, most commonly north. Mathematically, the relative position vector (physics and mathematics), vector from an observer (origin (mathematics), origin) to a point of interest is graphical projection, projected perpendicularly onto a reference plane (the horizontal plane); the angle between the projected vector and a reference vector on the reference plane is called the azimuth. When used as a horizontal coordinate system, celestial coordinate, the azimuth is the horizontal direction of a star or other astronomical object in the sky. The star is the point of interest, the reference plane is the local area (e.g. a circular area with a 5 km radius at sea level) around an observer on planetary surface, Earth's surface, and the reference vector points to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geographical Distance
Geographical distance or geodetic distance is the distance measured along the surface of the earth. 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 problem. Introduction Calculating the distance between geographical coordinates is based on some level of abstraction; it does not provide an ''exact'' distance, which is unattainable if one attempted to account for every irregularity in the surface of the earth. Common abstractions for the surface between two geographic points are: *Flat surface; *Spherical surface; *Ellipsoidal surface. All abstractions above ignore changes in elevation. Calculation of distances which account for changes in elevation relative to the idealized surface are not discussed in this article. Nomenclature Distance, D,\,\! is calculated between two points, P_1\,\! and P_2\,\!. The geograph ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
NS 5000nm Eq
NS as an abbreviation can mean: Arts and entertainment Gaming * ''Natural Selection'' (video game), a mod for the game ''Half-life'' * '' NetStorm: Islands At War'', a real-time strategy game published in 1997 by Activision * Nintendo Switch, a hybrid video game console and handheld. * Jennifer Government: NationStates, a web-based simulation game Literature * ''New Spring'' (known to fans as "NS"), a 1999 anthology edited by Robert Silverberg and derivative 2004 novella by Robert Jordan * NS-series robots from the book ''I, Robot'' Companies * National Semiconductor (also known as "Natsemi"), an American integrated circuit design and manufacturing company * Nederlandse Spoorwegen, the main public transport railway company in the Netherlands * Norfolk Southern Railway, a major Class I railroad in the United States, owned by the Norfolk Southern Corporation * Norfolk Southern Railway (1942–1982), the final name of a railroad running in Virginia and North Carolina before its ac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
NS 5000nm Study
NS as an abbreviation can mean: Arts and entertainment Gaming * ''Natural Selection'' (video game), a mod for the game ''Half-life'' * '' NetStorm: Islands At War'', a real-time strategy game published in 1997 by Activision * Nintendo Switch, a hybrid video game console and handheld. * Jennifer Government: NationStates, a web-based simulation game Literature * ''New Spring'' (known to fans as "NS"), a 1999 anthology edited by Robert Silverberg and derivative 2004 novella by Robert Jordan * NS-series robots from the book ''I, Robot'' Companies * National Semiconductor (also known as "Natsemi"), an American integrated circuit design and manufacturing company * Nederlandse Spoorwegen, the main public transport railway company in the Netherlands * Norfolk Southern Railway, a major Class I railroad in the United States, owned by the Norfolk Southern Corporation * Norfolk Southern Railway (1942–1982), the final name of a railroad running in Virginia and North Carolina before its ac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
SYD To BKK
Syd or SYD may refer to: *Syd (name), including a list of people with the name * ''Syd.'', taxonomic author abbreviation of Hans Sydow (1879–1946), German mycologist * Sydney, New South Wales, Australia ** IATA code for Sydney Airport, New South Wales, Australia ** Syd the platypus, a mascot of the Sydney 2000 Olympic games. ** Sydney FC, professional soccer club * Syd (singer), an American singer-songwriter * National Rail station code for Sydenham railway station (London), London, England * Stonewall Young Democrats, a young gay democratic club based out of Los Angeles, California * Hans Sydow (1879-1946), a German mycologist with author abbreviation "Syd." * Sum-of-Years' Digits, an accounting, economics, and financial depreciation method * ''Saw You Drown'' * ''Seitokai Yakuindomo is a Japanese four-panel manga series written and illustrated by Tozen Ujiie. It ran in Kodansha's ''Magazine Special'' from May 2007 to June 2008. It was then transferred to Kodansha' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
WGS84
The World Geodetic System (WGS) is a standard used in cartography, geodesy, and satellite navigation including GPS. The current version, WGS 84, defines an Earth-centered, Earth-fixed coordinate system and a geodetic datum, and also describes the associated Earth Gravitational Model (EGM) and World Magnetic Model (WMM). The standard is published and maintained by the United States National Geospatial-Intelligence Agency. Definition The coordinate origin of WGS 84 is meant to be located at the Earth's center of mass; the uncertainty is believed to be less than . The WGS 84 meridian of zero longitude is the IERS Reference Meridian,European Organisation for the Safety of Air Navigation and IfEN: WGS 84 Implementation Manual, p. 13. 1998 5.3 arc seconds or east of the Greenwich meridian at the latitude of the Royal Observatory. (This is related to the fact that the local gravity field at Greenwich doesn't point exactly through the Earth's center of mass, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shows The Geodesic Deviation For Various Sections Connecting New York And Paris
Show or The Show may refer to: Competition, event, or artistic production * Agricultural show, associated with agriculture and animal husbandry * Animal show, a judged event in the hobby of animal fancy ** Cat show ** Dog show ** Horse show ** Specialty show, a dog show which reviews a single breed *Show, an artistic production, such as: ** Concert ** Radio show ** Talk show ** Television show ** Theatre production * Trade fair or trade show Arts, entertainment, and media Films * ''The Show'' (1922 film), starring Oliver Hardy * ''The Show'' (1927 film), directed by Tod Browning * ''The Show'' (1995 film), a hip hop documentary * ''The Show'' (2017 film), an American satirical drama * ''The Show'' (2020 film), a British mystery film Album * ''Show'' (The Cure album), 1993 * ''Show'' (The Jesus Lizard album), 1994 * ''The Show'' (album), a 2008 album by eMC Songs * "The Show" (Doug E. Fresh song) * "The Show" (Girls Aloud song) * "The Show" (Lenka song) * "The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Meridian Arc
In geodesy and navigation, a meridian arc is the curve between two points on the Earth's surface having the same longitude. The term may refer either to a segment of the meridian, or to its length. The purpose of measuring meridian arcs is to determine a figure of the Earth. One or more measurements of meridian arcs can be used to infer the shape of the reference ellipsoid that best approximates the geoid in the region of the measurements. Measurements of meridian arcs at several latitudes along many meridians around the world can be combined in order to approximate a ''geocentric ellipsoid'' intended to fit the entire world. The earliest determinations of the size of a spherical Earth required a single arc. Accurate survey work beginning in the 19th century required several arc measurements in the region the survey was to be conducted, leading to a proliferation of reference ellipsoids around the world. The latest determinations use astro-geodetic measurements and the methods of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elliptic Integral
In integral calculus, an elliptic integral is one of a number of related functions defined as the value of certain integrals, which were first studied by Giulio Fagnano and Leonhard Euler (). Their name originates from their originally arising in connection with the problem of finding the arc length of an ellipse. Modern mathematics defines an "elliptic integral" as any function which can be expressed in the form f(x) = \int_^ R \left(t, \sqrt \right) \, dt, where is a rational function of its two arguments, is a polynomial of degree 3 or 4 with no repeated roots, and is a constant. In general, integrals in this form cannot be expressed in terms of elementary functions. Exceptions to this general rule are when has repeated roots, or when contains no odd powers of or if the integral is pseudo-elliptic. However, with the appropriate reduction formula, every elliptic integral can be brought into a form that involves integrals over rational functions and the three Legend ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
.svg "Click for more on -> WGS84")
