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The absolute value of the geopotential
Bulletin géodésique, 1974It is suggested that it would be worthwhile to determine the absolute value of the geopotential on the geopotential surface which corresponds to mean sea level. This number would replace the earth’s semi-major axis as the parameter which fixes the earth’s size; but slight variations in the parameter might be employed to study the dynamics of the sea.
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Fifteenth-order harmonics in the geopotential
Nature, 1974THE Earth's gravitational potential is usually expressed as a double infinite series of spherical harmonics. Analysis of thousands of photographic and laser observations of satellites, together with gravity measurements has yielded global models of the geoid1–3 accurate to about 3 m on average.
R. H. Gooding +2 more
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Estimation of the accuracy of geopotential models
Studia Geophysica et Geodaetica, 1995The new Geopotential Model Testing (GMT) method has been theoretically developed and practically applied. It is free of any hypothesis, the limiting factors are the accuracy of the geocentric position of the GMT sites and of their normal heights, as well as the accuracy of the geopotential value W0 on the geoid used as the testing value given a-priori.
K. Raděj +3 more
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Scale factor for lengths of the geopotential model [PDF]
Studia Geophysica et Geodaetica, 1974 Using the data in[1], the scale factor for lengths is derived of the geopotential model R 0 =GM/W 0 (W 0 is the potential on a generalized geoid). The resulting value, R 0 ==6 363 672.9 m, which is2 m less than the original value[5], is practically the same as that in[6].
Milan Burša, Jan Pícha
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Geopotential resonances on Vanguard orbits
Journal of Geophysical Research, 1977Since their establishment in 1959 the orbits of Vanguard 3 (1959-7A) and the Vanguard 2 rocket (1959-2B) have been slowly contracting through at least five strong resonances of eleventh order. Tracking with Baker-Nunn cameras and the U.S. Navy space surveillance (radio interferometer) system over a 14-year period has revealed resonant fluctuations on ...
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Density layer models for the geopotential
Bulletin géodésique, 1971Spherical harmonic representation of the geopotential suffers from convergence problems in both the mathematical and numerical senses; it also is not suitable for use with the terrestrial gravity data, which is distributed very unevenly over the surface of the earth.
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Clock measurements to improve the geopotential determination
2017International ...
Lion, Guillaume +6 more
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On the spherical harmonics series expansion of the geopotential [PDF]
Bulletin géodésique, 1970 The spherical harmonics development of the gravitational potential at the earth's surface and on the geoid is discussed. First, the effect of Kelvin transformations is studied; secondly, numerical information as obtained from satellite and other data is investigated.
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, 2014
Gravity disturbances, the Marussi tensor, invariants of the gravity field, their certain ratio and other functions of the geopotential (including newly defined “virtual deformations”) are computed based on the harmonic coefficients of the global ...
J. Klokočník +4 more
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Gravity disturbances, the Marussi tensor, invariants of the gravity field, their certain ratio and other functions of the geopotential (including newly defined “virtual deformations”) are computed based on the harmonic coefficients of the global ...
J. Klokočník +4 more
semanticscholar +1 more source
Hotine's geopotential formulation: revisited
Bulletin Géodésique, 1995Hotine's (1969) partially nonsingular geopotential formulation is revisited to study its utility for the computation of geopotential acceleration and gradients from high degree and order expansions. This formulation results in the expansion of each Cartesian derivative of the potential in a spherical harmonic series of its own.
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