scholarly journals Transformation from Geocentric Coordinates to Geographic Coordinates

2018 ◽  
Vol 18 (1) ◽  
pp. 233-239
Author(s):  
İbrahim Öztuğ Bildirici

Author(s):  
Kamil Krasuski ◽  
Stepan Savchuk

This paper presents results of research concerning determination of the GPS reference station coordinates located on the grounds of an EPDE airport in Deblin. The study uses a mathematical model of the PPP measurement technique in order to determine the coordinates of the reference station using the real GPS code-phase observations. The computations of the coordinates of the GPS reference station were carried out in numerical applications CSRS-PPP, APPS and GAPS. In this research was found that the accuracy of finding solutions to the XYZ geocentric coordinates of the reference station REF1 between solutions CSRS-PPP, APPS and GAPS ranges from 0.01m to 0.13m. In addition, the accuracy of determining the XYZ geocentric coordinates from the PPP method related to the GPS differential solution ranged from 0.01m to 0.11m.



Author(s):  
M. G. J. Minnaert


Over 1500 lunar laser range measurements have been made during the past six years at McDonald Observatory. These data have been fitted with a 41 cm r. m. s. residual. The geocentric coordinates of McDonald Observatory are now known to better than 1 m, the three-dimensional coordinates of the Moon and the selenocentric coordinates of the retroreflectors are accurate to about 25 m, and the mass ratio Sun/(Earth + Moon) is determined to 2 parts in 107. A search for the Nordtvedt term in the Moon’s orbit, a term predicted by some relativity theories, gives a null value, a result consistent with general relativity. The measurement of the physical librations determines very accurately the moment of inertia parameters β = (C - A)/B and γ = (B - A)/C, and significantly determines the third degree gravitational harmonics C 30 , C 32 , S 32 and S 33 The postfit residuals are not random but yield corrections to the rotation of the Earth, values of U. T. 0 for individual days having typical accuracies of 0.5 ms (20cm). The anticipated regular operation of two or more stations will allow the separation of U. T. 1 and polar motion.



1988 ◽  
Vol 128 ◽  
pp. 115-120 ◽  
Author(s):  
A. E. Niell

From a combination of 1) the location of McDonald Observatory from Lunar Laser Ranging, 2) relative station locations obtained from Very Long Baseline Interferometry (VLBI) measurements, and 3) a short tie by traditional geodesy, the geocentric coordinates of the 64 m antennas of the NASA/JPL Deep Space Network are obtained with an orientation which is related to the planetary ephemerides and to the celestial radio reference frame. Comparison with the geocentric positions of the same antennas obtained from tracking of interplanetary spacecraft shows that the two methods agree to 20 cm in distance off the spin axis and in relative longitude. The orientation difference of a 1 meter rotation about the spin axis is consistent with the error introduced into the tracking station locations due to an error in the ephemeris of Jupiter.



1972 ◽  
Vol 5 (3) ◽  
pp. 300-302 ◽  
Author(s):  
Bassford C. Getchell


2017 ◽  
Vol 921 (3) ◽  
pp. 20-23
Author(s):  
Y.P. Kureniov ◽  
T.N. Malik

The article describes one of the methods for determining the geodetic height by using the satellite as a moving target points. It is shown that the chronology of the development of the satellite method for determining the geodetic height of the iterative calculation method for the open-closed formulas for the dependence of the geodetic latitude and, finally, to closed formulas determining the geodetic height in function exclusively from geocentric coordinates. This article describes the geometrical (volumetric and flat) models to perform the derivation of the formulas for determining the geodetic height as a function of the geocentric coordinates of the point. Two variants of the formulas obtained by the authors to determine the geodetic height.



2019 ◽  
Vol 953 (11) ◽  
pp. 2-14 ◽  
Author(s):  
M.G. Mustafin ◽  
Thanh Son Tran ◽  
Manh Hung Tran

During the construction and operation of buildings and structures, it is extremely important to ensure the accuracy of their geometrical parameters in nature. At the same time, accuracy requirements are constantly increasing. At the same time, studying such issues as consideration of geological factors, for example, consideration of the structural features of the buildings and structures foundations has remained virtually in the same state for decades. In the guidelines for observing the deformations of the basements and foundations of buildings and structures the earth’s surface is taken as homogeneous array, and it is recommended when observing deformations, to carry out laying initial benchmarks for industrial and civil objects at a distance of 50–100 m. A number of studies show that a homogeneous array should be considered as a special case. In fact, in the construction of various objects, heterogeneity of the soil massif in the form of stratification, as well as the presence of zones of tectonic disturbances are often encountered. The latter, in the form of faults and geopathic zones, are already taken into account in urban planning activities, medicine, and other areas. Without taking them into account, the creation of a geodetic center base during construction can lead to significant errors, due to the uneven deformation of the structure near fault zones. There is a need to assess the impact of these zones during construction and their consideration when creating a geodetic center base. Here it is necessary to emphasize the fact that ensuring the removal of the structure’s geometrical parameters into nature is the task of the geodetic service in any circumstances. The next important point in construction is to minimize the error of projecting geocentric coordinates onto a plane. This is especially true when using satellite coordinates. In the traditional approach, the coordinate basis for construction is normatively oriented to the use of the Gauss-Kruger projection. With extended objects in the latitudinal direction and remoteness from the axial meridian of the six-degree zone, the use of this projection causes transformation errors. When creating a geodesic framework according to satellite coordinates determinations, it is highly advisable to use local to-center topocentric flat surfaces, which allow a significant reduction in the distortion of the transformation. The authors discuss the solution of identified issues and provide specific examples.



2014 ◽  
Vol 27 (19) ◽  
pp. 7203-7206
Author(s):  
G. Louis Smith ◽  
David R. Doelling

Abstract The effects of the earth’s oblateness on computation of its radiation budget from satellite measurements are evaluated. For the Clouds and the Earth’s Radiant Energy System (CERES) data processing, geolocations of the measurements are computed in terms of the geodetic coordinate system. Using this system accounts for oblateness in the computed solar zenith angle and length of day. The geodetic and geocentric latitudes are equal at the equator and poles but differ by a maximum of 0.2° at 45° latitude. The area of each region and zone is affected by oblateness as compared to geocentric coordinates, decreasing from zero at the equator to 1.5% at the poles. The global area receiving solar radiation is calculated using the equatorial and polar axes. This area varies with solar declination by 0.0005. For radiation budget computations, the earth oblateness effects are shown to be small compared to error sources of measuring or modeling.





2021 ◽  
Vol 977 (11) ◽  
pp. 2-7
Author(s):  
P.D. Penev ◽  
E.P. Peneva

The authors propose to derive the formulas given in [1, 2] for determining the height and latitude based on the Cartesian rectangular coordinates X, Y, Z, giving an accuracy for the geodetic height H of 1 mm for heights up to 50 km and for geodetic latitude B of 0,0001 arc seconds for H < 10 km. The formulas proposed in [1, 2] apply to all values of latitude and longitude (B and L). In [3], we propose two new formulas for H and B. In this paper, it is shown that the formulas proposed in [3] apply to points of ellipsoid surface and points with geodetic latitude of 0° and 90°. For the same formulas proposed in [3], the corrections are derived to ensure an accuracy of H of 1 mm at H ≤ 10 km, which apply to all values of B and L. Basing on the presented geometric conclusions, calculations and analyzes, a new solution for H and B respectively is proposed for given X, Y, Z, which provides an accuracy for H less than 1 mm for H ≤ 100 km and for B of 0,0001 arc seconds for H ≤ 50 km.



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