The Bessel ellipsoid (or Bessel 1841) is an important reference ellipsoid of geodesy. It is currently used by several countries for their national geodetic...

Bessel may refer to: Bessel beam Bessel ellipsoid Bessel function in mathematics Bessel's inequality in mathematics Bessel's correction in statistics....

named Bessel functions after Bessel's death, though they had originally been discovered by Daniel Bernoulli before being generalised by Bessel. Bessel was...

importance: the Bessel ellipsoid of 1841, the international Hayford ellipsoid of 1924, and (for GPS positioning) the WGS84 ellipsoid. There are two types...

predecessors, such as the Bessel ellipsoid (a = 6377397 m, f = 1:299.15), which was a European ellipsoid, the Hayford ellipsoid also included measurements...

and cartography at the time: the Bessel ellipsoid and the Mercator projection. Its measurements used the Bessel ellipsoid as an approximation of the Earth's...

in ellipsoidal coordinates, are separable. Here is how he recounted his discovery to his friend and neighbor Bessel (Jacobi 1839, Letter to Bessel), The...

Bessel ellipsoid Besselian elements Besselian epoch Bessel points Repsoid–Bessel pendulum Bessel's correction Bessel's differential equation Bessel's...

Earth. In the mid-1800s the Bessel ellipsoid of 1841 or the Clarke ellipsoid of 1866 were widely used; the Hayford ellipsoid of 1910 may later have been...

Black Sea, the Struve Geodetic Arc. Bessel compiled several meridian arcs, to compute the famous Bessel ellipsoid (1841). Nowadays, the method is replaced...

latitude ϕ. It was introduced by Legendre and Bessel who solved problems for geodesics on the ellipsoid by transforming them to an equivalent problem...

normally refers to the Bessel ellipsoid. A further datum of interest was ED50 (European Datum 1950) based on the Hayford ellipsoid. ED50 was part of the...

the Equator, the flattening of the Earth ellipsoid was assumed to be ⁠1/334⁠. In 1841, Friedrich Wilhelm Bessel using the method of least squares calculated...

long lines, the solution uses the classical solution of Legendre (1806), Bessel (1825), and Helmert (1880) based on the auxiliary sphere. Vincenty relied...

measurements were undertaken to establish the border in accordance with the Bessel ellipsoid. The entire border area was mapped in 1:20,000. The Soviet authorities...

de facto geodetic system. The datum of that system was based on the Bessel ellipsoid, with an accurate determination of the geodetic coordinates at the...

weights until they were equal, was time-consuming and error-prone. Friedrich Bessel showed in 1826 that this was unnecessary. As long as the periods measured...

great many model ellipsoids such as Plessis 1817, Airy 1830, Bessel 1841, Everest 1830, and Clarke 1866. A comprehensive list of ellipsoids is given under...

in 1922 by Czech geodesist Josef Křovák. The projection is based on Bessel ellipsoid and it was calculated as the optimal projection of Czechoslovakia (in...

reference system in relation to the reference surface of a chosen Bessel ellipsoid. Latitude and longitude (location) as well as the azimuth (orientation)...

|\Delta D_{\text{error}}|\propto D} higher-order approximations based on Ellipsoid: f 1 {\displaystyle f^{1}} : Andoyer(1932); Andoyer-Lambert(1942), f 2...

compression of a circle or sphere along a diameter to form an ellipse or an ellipsoid of revolution (spheroid) respectively. Other terms used are ellipticity...

earth ellipsoid in toise (a large number), whereas e = 10 8.9054355 − 10 {\displaystyle e=10^{8.9054355-10}} , the eccentricity of the earth ellipsoid (a...

integrals, mechanics, dynamics, hydrodynamics, sound, spherical harmonics, and Bessel functions. When the American Journal of Mathematics was launched in 1877...

935 metres, the ellipticity being assumed as 1/299.15 according to Bessel ellipsoid. The radius of curvature of this arc is not uniform, being, in the...

Parameter Value Reference Ellipsoid Bessel 1841 Semi Major Axis 6377397.155 m Inverse Flattening (1/f) 299.1528128 Type of Projection Gauss-Krüger (Transverse...

especially Wilhelm Olbers, Karl Ludwig Harding, and Friedrich Wilhelm Bessel, as part of the informal group of astronomers known as the Celestial police...

length of the Paris meridian were taken into account by Bessel when he proposed his reference ellipsoid in 1841. Egyptian astronomy has ancient roots which...

an earth ellipsoid and a plane (ellipsoid plane sections). Common examples include the great ellipse (containing the center of the ellipsoid) and normal...

professional audio division of Panasonic Corporation, introduced a twin Bessel constant directivity horn shortly after the Mantaray appeared. The design...