Radius of a spherical earth
Webwhere h is height above sea level and R is the Earth radius . The expression can be simplified as: where the constant equals k = 3.57 km/m½ = 1.22 mi/ft½ . In this equation, Earth's surface is assumed to be perfectly … WebCircles of a sphere have radius less than or equal to the sphere radius, with equality when the circle is a great circle. A circle of a sphere can also be characterized as the locus of …
Radius of a spherical earth
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Weban object of diameter 725.27 km at a distance of 1 astronomical unit (AU) an object of diameter 45 866 916 km at 1 light-year an object of diameter 1 AU (149 597 871 km) at a distance of 1 parsec (pc) Thus, the angular diameter of Earth's orbit around the Sun as viewed from a distance of 1 pc is 2″, as 1 AU is the mean radius of Earth's orbit. WebJan 11, 2024 · The earth, as we said, is an oblate spheroid, so geodesists (scientists who measure the earth and its position in space) have measured and calculated the average of earth's circumference as 40,075 km or 24,901 mi. Eratosthenes, some 2,200 years ago, was off by only 125 km or 101 mi.
WebIf he used the Egyptian one, his error would have been less than 2 percent off the actual Earth’s circumference of 24,860 miles (40,008 kilometers). A century after Eratosthenes, … WebThe scale is 1:10 million or 1 cm = 100 km (1 cm on the model represents 100 km in the actual Earth), resulting in a slice with a radius of 63.7 cm corresponding to the real Earth’s radius of 6371 km (10 million times the size of the scale model).
Using the Gauss-Bonnet theorem, this gives. ∫KdAA=4πA=1R22.{\displaystyle {\frac {\int K\,dA}{A}}={\frac {4\pi }{A}}={\frac {1}{R_{2}^{2}}}.} Volumetric radius[edit] Another spherical model is defined by the Earth's volumetric radius, which is the radius of a sphere of volume equal to the ellipsoid. See more Earth radius (denoted as R🜨 or $${\displaystyle R_{E}}$$) is the distance from the center of Earth to a point on or near its surface. Approximating the figure of Earth by an Earth spheroid, the radius ranges from a … See more Geocentric radius The geocentric radius is the distance from the Earth's center to a point on the spheroid surface at geodetic latitude φ: See more The mathematical expressions above apply over the surface of the ellipsoid. The cases below considers Earth's topography, above or below a reference ellipsoid. As such, they are topographical geocentric distances, Rt, which depends not only on latitude. See more Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. Local See more The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. It is an idealized surface, and the Earth measurements used to calculate it … See more The Earth can be modeled as a sphere in many ways. This section describes the common ways. The various radii derived here use the … See more Earth's diameter is simply twice Earth's radius; for example, equatorial diameter (2a) and polar diameter (2b). For the WGS84 ellipsoid, that's respectively: • 2a … See more Web63 rows · an object of diameter 725.27 km at a distance of 1 astronomical unit (AU) an object of diameter 45 866 916 km at 1 light-year an object of diameter 1 AU (149 597 871 …
WebAug 30, 2014 · What is the real radius of earth? Google says 6378.1 km Wiki says 6371 km And there are references for 6378.7 km I'm using maximum radius 6378.7 km in distance calculation in spherical law of cosines formula. What would be the impact of using maximum radius rather than average radius which is 6371 km. When does using one over …
WebFor measuring the radius of the earth compute the circumference of the earth. The radius of the earth will be circumference = 2πr If we talk about the earth then we can say that Earth … glass blowing glasses for saleWebApr 12, 2024 · A small sphere (emissivity =0.503 radius=r1) is located at the center of a spherical abestos shell ( thickness =1.74 cm, outer radius= r2; thermal conductivity of … fypon handrailsWebThe radius of the Earth is said to be 6,371 km. What is the surface area of the Earth? Solution. The Earth is a sphere. SA = 4πr 2 = 5.098 x 10 8 km 2. Example 6. Calculate the surface area of a solid hemisphere of radius 10 cm. Solution. Given: Radius, r = 10 cm. For a hemisphere, the surface area is given by: SA = 3πr 2. Substitute. SA = 3 ... glass blowing forest park ohioWebMass (10 24 kg) 5.9722 Volume (10 10 km 3) 108.321 Equatorial radius (km) 6378.137 Polar radius (km) 6356.752 Volumetric mean radius (km) 6371.000 Core radius (km) 3485 Ellipticity (Flattening) 0.003353 Mean density (kg/m 3) 5513 Surface gravity (m/s 2) 9.798 Surface acceleration (m/s 2) 9.780 Escape velocity (km/s) 11.186 GM (x 10 6 km 3 /s 2) … glass blowing grapevine txWebNov 5, 2024 · Universal Gravitation for Spherically Symmetric Bodies. The Law of Universal Gravitation states that the gravitational force between two points of mass is proportional to the magnitudes of their masses and the inverse-square of their separation, d: (5.5.2) F = G m M d 2. However, most objects are not point particles. fypon brickmoldWebAug 30, 2014 · What is the real radius of earth? Google says 6378.1 km; Wiki says 6371 km; And there are references for 6378.7 km; I'm using maximum radius 6378.7 km in distance … glass blowing fort payne alWebthe Earth M a e is the semima jor axis of the Earths reference ellipsoid r are ... along the radius v ector to the satellite u is in the direction of increasing north latitude and u ... from the spherical co ordinates to the desired co ordinate system So as a rst step the comp onen fypon beams for sale