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### WGS-84 Earth polar radius - vCal

This online calculator calculates Earth radius at given latitude using WGS 84 reference ellipsoid. person_outlineTimurschedule 2018-02-17 13:08:30. Articles that describe this calculator. Earth Radius by Latitude (WGS 84) Earth Radius by Latitude (WGS 84 The World Geodetic System is a standard for use in cartography, geodesy, and navigation.It comprises a standard coordinate frame for the Earth, a standard spheroidal reference surface (the datum or reference ellipsoid) for raw altitude data, and a gravitational equipotential surface (the geoid) that defines the nominal sea level.. The latest revision is WGS 84 (dating from 1984 and last. 2 Gravitational potential in frame rotating with the Earth Calculation of the second degree harmonic, J 2 from WGS84 parameters Calculation of J 2 from the polar-C and equatorial-A moments of inertia Kepler's third law relating orbit frequency-ωs, and radius-r, to M Earth radius is the distance from the center of Earth to a point on its surface. Its value ranges from 6,378 km (3,963 mi) at the equator to 6,357 km (3,950 mi) at a pole.A nominal Earth radius is sometimes used as a unit of measurement in astronomy and geophysics, denoted in astronomy by the symbol R ⊕.In other contexts, it is denoted or sometimes I see that you are doing a linear interpolation of radius between pole and equator. While there is no reason to believe that linear interpolation is accurate, I'll use this as good enough for the Earth, given its mild flattening factor

WGS84 mean Earth radius Image title Equatorial ( a ), polar ( b ) and mean Earth radii as defined in the 1984 World Geodetic System revision, illustrated by CMG Lee The mean radius of the Earth is approx. 6,372 km, but what formula is used to calculate the radius of the Earth for any given latitude? If you take WGS84 as a reference ellipsoid, the Earth is flattened by 1/298.257 Then you can calculate the radius for each latitude The Radius at Geocentric Latitude block estimates the radius (rs) of an ellipsoid planet at a particular geocentric latitude (λs). Skip to content. Planet model — Planet model Earth (WGS84) (default) | Custom. Planet model to use, Custom or Earth (WGS84). Programmatic Use. Block Parameter: ptype

### WGS-84 Earth equatorial radius (meters) - vCal

1. I suggest to approximate locally the Earth surface as a sphere with radius given by the WGS84 ellipsoid at the given latitude. I suspect that the exact computation of latMin and latMax would require elliptic functions and would not yield an appreciable increase in accuracy (WGS84 is itself an approximation)
2. radius. Whereas Zhu's ð ï km rule can be used for most applications, the fundamental operating range of Zhu's algorithm is related to the radius of curvature in the meridian . This radius is the curvature in the north-south direction of the surface of the WGS84 ellipsoid at , and is given by: ( 25) R

### How WGS 84 defines the Earth - jpz

First, you must decide to approximate the Earth as a sphere, cylinder, cone, torus, or some other geometric shape with at least one radius. Assuming you chose a sphere, the simplest method would be to measure the diameter, and divide it by half. H.. WGS84 definitions. WGS84 is an Earth-centered, Earth-fixed terrestrial reference system and geodetic datum. WGS84 is based on a consistent set of constants and model parameters that describe the Earth's size, shape, and gravity and geomagnetic fields NAD 27 and NAD 83 provide a frame of reference for latitude and longitude locations on Earth. Surveyors now rely almost exclusively on the Global Positioning System (GPS) to identify locations on the Earth and incorporate them into existing geodetic datums. For example, NAD27, NAD83, and WGS84 are the most common geodetic datums in North America

### wgs84 - How do you compute the earth's radius at a given

• or axis for an ellipsoid. For example, the WGS84 datum identifies the longest diameter of an ellipse (semi-major axis) as 6,378,137.0 m. Next, the semi-
• Earth's radius is usually given as 6378137 meters (equatorial radius), its flattening is defined as 1/298.257223 (WGS84), and thus its polar radius is calculated as 6356752 meters.However, the average depth of the Earth's oceans is 3688 meters (i.e. 3688 meters below mean sea level), and the average height of all land above the oceans is 840 meters..
• By convention, yes, Google Earth loads data that has been referenced with wgs84, so yes, if loading own data data, would want wgs84 to match up with the terrain/imagry and other data. But core Googel Earth doesnt expect it to be relative to any particular datum etc
• EPSG:4326 WGS 84 -- WGS84 - World Geodetic System 1984, used in GP
• The Haversine formula accounts for the curvature of the earth, but assumes a spherical earth rather than an ellipsoid. Wikipedia states that. Several different ways of modeling the Earth as a sphere each yield a mean radius of 6,371 kilometers. Also everywhere I search, I find cannot find anyone very few specifying the radius as 6,376.5 km
• Earth Mean Orbital Elements (J2000) Semimajor axis (AU) 1.00000011 Orbital eccentricity 0.01671022 Orbital inclination (deg) 0.00005 Longitude of ascending node (deg) -11.26064 Longitude of perihelion (deg Re denotes Earth model radius, here defined to be 6,378 k
• ute seconds (dms), grad, radians), just use the angle units converter

WGS84 mean Earth radius: Descrizione dell'immagine: Equatorial (a), polar (b) and mean Earth radii as defined in the 1984 World Geodetic System revision, illustrated by CMG Lee. Larghezza: 100%: Altezza: 100 In addition, a correction term of -0.53 m is added to the prior result to obtain the geoid undulation with respect to the WGS 84 ellipsoid. The value of -0.53 m is based on the following estimates of the equatorial radius (a) and flattening (f) of an ideal earth ellipsoid in the tide-free system: a=6378136.46 m and 1/f=298.25765 This map was created by a user. Learn how to create your own You can also change the radius by either dragging the marker on the outside of the circle or by entering the radius in the field below and clicking edit circle. After drawing the circles you can come back to the map or send someone else to it by copying the link listed below. I hope that you find this radius tool useful explicitly contains ye as the first factor in the equation. The WGS 84 Ellipsoidal Gravity Formula, expressed numer i ca 1 ly, is where ye= 9.7803267714 rn s-~ ye= 978.03267714 cm s-2 (Gals) = 978032.67714 milligals. In the preceding The following examples show how to use gov.nasa.worldwind.globes.Earth#WGS84_EQUATORIAL_RADIUS .These examples are extracted from open source projects. You can vote up the ones you like or vote down the ones you don't like, and go to the original project or source file by following the links above each example The ellipsoid is specified by its equatorial radius, a, and its flattening, f = (a − b)/a, where b is the polar semi-axis. The default values for these parameters correspond to the WGS84 ellipsoid. The method is accurate for −99 ≤ f ≤ 0.99 (corresponding to 0.01 ≤ b/a ≤ 100) Radius of Earth 04-13-2010, 09:58 AM Hi, IÂ´d like to know if World Wind use the same radius of Earth in all parts of the globe (and what is it) or if the radius changes like in the real globe

The World Geodetic System 1984 (WGS84) is an ellipsoid, datum and coordinate system (Archive) which is widely used in cartography, geodesy and navigation fields, including use with Google Maps. WGS84 represents the world with a spherical coordinate system. Such discussions on this topic often revolve around the claim that, since WGS84 provides accurate information and represents the earth as a. +* LUCENE-7158: Consistently use earth's WGS84 mean radius wherever our + geo search implementations approximate the earth as a sphere (Karl + Wright via Mike McCandless) + Other * LUCENE-7035: Upgrade icu4j to 56.1/unicode 8. (Robert Muir World Geodetic System 1984 Responsible Organization: National Geospatial-Intelligence Agency Abbreviated Frame Name: WGS 84 Associated TRS: WGS 84 Coverage of Frame: Global Type of Frame: 3-Dimensional Last Version: WGS 84 (G1674) Reference Epoch: 2005.0 Brief Description: WGS 84 is an Earth-centered, Earth-fixed terrestrial reference system. Thereby when a spherical Earth model is employed the optimal (single) radius of curvature to use is given by Equation (20), roughly 4 ½ statute miles less than the equatorial radius a. Using the precise WGS84 ellipsoid parameters one obtains ‹ r › = 6371020.7 meters = 3958.77 statute miles and diminished (relative to a ) one-third fraction of the difference between equatorial and polar radii Reference Earth Model - WGS84_IT/计算机_专业资料 158人阅读|11次下载. Reference Earth Model - WGS84_IT/计算机_专业资料。Reference Earth Model - WGS84

EPSG:4326. WGS 84 . WGS84 Bounds: -180.0000, -90.0000, 180.0000, 90.0000 ; Projected Bounds: -180.0000, -90.0000, 180.0000, 90.0000; Scope: Horizontal component of 3D. Radius of the Earth - Radii Used in Geodesy James R. Clynch Naval Postgraduate School, 2002 I. Three Radii of Earth and Their Use There are three radii that come into use in geodesy. These are a function of latitude in the ellipsoidal model of the eart h. Haversine Formula []. The haversine formula is an equation important in navigation, giving great-circle distances between two points on a sphere from their longitudes and latitudes. It is a special case of a more general formula in spherical trigonometry, the law of haversines, relating the sides and angles of spherical triangles

Simply put, a datum is a set of numbers that define the shape, size, and position of an ellipsoid which best approximates the true surface of the Earth, either locally or globally. Ok, what's an ellipsoid? Consider a bowling ball. It is a sphere. That is, its equatorial radius of 4.25 is the same as its polar radius Above on the left is a diagram showing the two types of latitude. The physical radius of the earth, R e, and the radius of curvature in the prime vertical, R N, are also shown. The highlighted triangle makes it clear that the radius of the parallel of lati tude circle, called p, is just R N cos( φ ), where the geodetic latitude is used The Earth is almost spherical, however there is a tiny bulge at the equator that makes it ~0.33% larger than at the poles. The ellipsoid is an approximation and does not fit the Earth perfectly. There are different ellipsoids in use, some are designed to fit the whole Earth (WGS84, GRS80) and some are designed to fit a local region (NAD27)

Flat Earth has nothing even remotely close to this. Flat Earther's cannot produce a simple flight plan that works , WGS84 is the accurate Earth model... and it is a spheroid Earth model assumed spherical with radius 6371200 m, but the horizontal datum of the resulting latitude/longitude field is the WGS84 reference frame 9 Earth represented by the Ordnance Survey Great Britain 1936 Datum, using the Airy 1830 Spheroid, the Greenwich meridian as 0 longitude, and the Newlyn datum as mean sea level, 0 heigh

WGS84_RADIUS. #define WGS84_RADIUS ((2.0 * WGS84_MAJOR_AXIS + WGS84_MINOR_AXIS) / 3.0) Definition at line 131 of file liblwgeom.h.. Referenced by geography_expand. Make use of Google Earth's detailed globe by tilting the map to save a perfect 3D view or diving into Street View for a 360 experience. Share your story with the world

### WGS84 - GIS Wiki The GIS Encyclopedi

• The WGS84 Gravity Model block implements the mathematical representation of the geocentric equipotential ellipsoid of the World Geodetic System (WGS84). The block output is the Earth's gravity at a specific location
• Radius Earth: is the radius of the earth used for all calculations. This value can be changed. Exact Equations for the Hidden Height. How much of an object is hidden behind the curvature of the earth, the so called hidden height h h, depends on the distance of the object from the observer and from the height of the observers eye above the.
• Perth-Sydney Johannesburg-Perth London-Moskau. The distance between 2 points P1 and P2 is computed on a Globe width radius R and on Flat Earth with distance from north pole to equator EQ.If you want to use other planet sizes, enter your values into the corresponding fields, else leave them as is
• Horizontal datums precisely specify each location on Earth's surface in latitude and longitude or other coordinate systems. For instance, NAD27, NAD83, and WGS84 are examples of geodetic datums. Using geographic coordinate systems, we can define positions on Earth
• The International Reference Meridian and Poles and, hence the WGS84 datum, are stationary with respect to the average motion of the Earth's crustal plates. As a consequence, all individual locations are in motion relative to them. In the UK, WGS84 latitudes and longitudes are changing at about 2.5 cm per year in a north-easterly direction
• For the earth, the semimajor axis is the radius from the center of the earth to the equator, WGS84 1984. 6378137. 6356752.31424518. Spheroid comparison A particular spheroid can be selected for use in a specific geographic area, because that particular spheroid does an exceptionally good job of mimicking the geoid for that part of the world
• WGS84 (G1150)? In absolute positioning, the frame WGS84 (G1150) is materialized not by the coordinates of marks on the surface of the Earth - as the NAD83 (CORS96) is - but by the coordinates of points in space, namely, the 3-D location of the GPS satellites (given by their precise or broadcast satellite ephemerides)

Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history. Radius, diameter and circumference. The radius of Earth at the equator is 3,963 miles (6,378 kilometers), according to NASA's Goddard Space Flight Center.However, Earth is not quite a sphere When I click on the Show Viewshed tool, it produces a viewshed, but only with a radius of about 5 miles. Is there a way to expand this radius? Thanks! Details. Ask a how to question, Google Earth Pro there isn't an option to do this within Google Earth. Somebody did once post a workaround which involves editing the configuration.

### Formula for Earth radius at any given latitude

• latlong.mellifica.se. tabellkonvertering. SWEREF 99 (~WGS 84
• For example, the WGS84 projection is a geographic one. A UTM projection is a projected one. Either of these will use only one datum. However, the data on the map could have come from multiple sources, all with unique projections and therefore datums. The map that you saw could not possibly be drawn using both the WGS84 and NAD83 datums
• imal anomalies with Earth's surface/ geoid
• To get the size of the earth, he multiplied 900 (distance between two points in kilometers) by 50. He got the circumference as 45,000 kilometers. To get the radius of the earth, he divided the earth's circumference by 2 and pi. Apparently, he arrived at the radius to be 6,617 km
• At which time the will release a new version of the WGS84 and note the GPS weeks in the name, e.g. WGS84 (G1150). 2) WGS84 is not locked to any land mass but to the stars. So, as the tectonic plates drift around on the earth's mantle a location on the earth's surfaces can change over time

### Estimate radius of ellipsoid planet at geocentric latitude

The value will be the geoid undulation, in the tide-free system with respect to the WGS84 ellipsoid, implied by the EGM96 geopotential model. 11.5 References. Bursa, M., Primary and Derived Parameters of Common Relevance of Astronomy, Geodesy, and Geodynamics, Earth, Moon, and Planets, 69, 51-63, 1995a WGS84 Fields: WGS84 Class See Name Description; a: Equatorial Radius 赤道半径（楕円体長半径）[m] b: Short Radius 短半径 c: e2: Square Eccentricity 離心率^2 f: 扁平率 invers_oblateness: 扁平率の逆数 PI: u: Gravitational Constant of The Earth 地球重力定数[m^3/s^-2] wE: Angular Velocity of The Earth 地球の. Using the volumetric radius of the Earth, 6.3710×10 6 m, this function evaluates to a total Earth mass of 5.9727×10 24 kg. This is only 0.015% lower than the NASA figure of 5.9736×10 24 kg. 3 That's very close given that the PREM densities were inferred from the speed of sound within the Earth using seismographic data

where r is the actual earth radius and R e is the effective earth radius. Commonly, the effective earth radius factor, k, is chosen as 4/3.However, at long ranges and with shallow angles, k can deviate greatly from the 4/3. (With no atmospheric refraction, k = 1. An infinite value for k represents a flat Earth). ). The effearthradius function provides two methods for calculating the effective. Earth radius is the distance from Earth's center to its surface, about 6,371 km (3,959 mi). This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R ⊕ The radius of a circle is the distance from a circle's origin or center to its edge. Conveniently, it is half as long as the diameter of a circle. A diameter is just two radiuses drawn in opposing directions from the circle's origin. Dimensions of a Circle. For a circle, three lengths most commonly are applied: The radius - defined abov

### Reproject Patterson Natural Earth to WGS84 (or any

Now I pluged it into the formula gravitational acc. = (Gravitational constant)(Mass of earth)/r^2 to find the radius distance of the object. i got r = 1.5623 x 10^ 7 m. so i added r to radius of earth to get 2.1993 x 10^7 m, then divided by the radius of earth to get 3.45 earth radii, which was incorrect Issues with WGS84 Coordinates. It is common for geospatial data to be referenced to the WGS84 datum, with no associated coordinate epoch and/or no information about which realisation of WGS84 was used. It is also common for coordinates described as being WGS84 to actually be in terms of NZGD2000 ### WGS 84 Lantmäterie

Earth Fact Sheet; Global Change Master Directory (GCMD) Data. Earth Science Legacy Data at NSSDCA; Images of Earth (Catalog of Spaceborne Imaging) Images of Earth (NSSDCA Photo Gallery) Cloudless Earth (Day) (1200 KB) Cloudless Earth (Night) (550 KB VDatum is designed to vertically transform geospatial data among a variety of tidal, orthometric and ellipsoidal vertical datums - allowing users to convert their data from different horizontal/vertical references into a common system and enabling the fusion of diverse geospatial data in desired reference levels  • Cooking.
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