Search Results - "Grafarend, E. W."

Nonlinear analysis of the three-dimensional datum transformation [conformal group C7(3)] by GRAFAREND, E. W, AWANGE, J. L

“…The weighted Procrustes algorithm is presented as a very effective tool for solving the three-dimensional datum transformation problem. In particular, the…”
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A New Reference Equipotential Surface, and Reference Ellipsoid for the Planet Mars by Ardalan, A. A., Karimi, R., Grafarend, E. W.

“…Using the shape model of Mars GTM090AA in terms of spherical harmonics complete to degree and order 90 and gravitational field model of Mars GGM2BC80 in terms…”
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Ellipsoidal representation of the topographical potential and its vertical gradient by Novák, P., Grafarend, E. W.

“…Due to the Global Positioning System (GPS), points on and above the Earth's surface are readily given by means of a triplet of the Gauss surface normal…”
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Intrinsic deformation analysis of the Earth's surface based on displacement fields derived from space geodetic measurements. Case studies: present-day deformation patterns of Europe and of the Mediterranean area (ITRF data sets) by GRAFAREND, E. W, VOOSOGHI, B

“…The methodology of geometrical modeling of surface deformation and surface rotation [surface Euler-Lagrange deformation of the first kind (Lagrange surface…”
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Harmonic analysis of the Earth's gravitational field by means of semi-continuous ephemerides of a low Earth orbiting GPS-tracked satellite. Case study: CHAMP by REUBELT, T, AUSTEN, G, GRAFAREND, E. W

“…An algorithm for the determination of the spherical harmonic coefficients of the terrestrial gravitational field representation from the analysis of a…”
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High-resolution regional geoid computation without applying Stokes's formula: a case study of the Iranian geoid by ARDALAN, A. A, GRAFAREND, E. W

“…A new theory for high-resolution regional geoid computation without applying Stokes's formula is presented. Operationally, it uses various types of gravity…”
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Explicit solution of the overdetermined three-dimensional resection problem by Awange, J. L., Grafarend, E. W.

“…Several procedures for solving in a closed form the three-dimensional resection problem have already been presented. In the present contribution, the…”
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Harmonic maps by GRAFAREND, E. W

“…Harmonic maps are generated as a certain class of optimal map projections. For instance, if the distortion energy over a meridian strip of the International…”
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Groebner-basis solution of the three-dimensional resection problem (P4P) by AWANGE, J. L, GRAFAREND, E. W

“…The three-dimensional (3-D) resection problem is usually solved by first obtaining the distances connecting the unknown point P{X,Y,Z} to the known points…”
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Ellipsoidal spectral properties of the Earth's gravitational potential and its first and second derivatives by BOILING, K, GRAFAREND, E. W

“…The spectral analysis of the Earth's gravitational potential, its first and second derivatives is performed in spherical/ellipsoidal harmonics relative to the…”
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The spherical horizontal and spherical vertical boundary value problem : vertical deflections and geoidal undulations : the completed Meissl diagram by GRAFAREND, E. W

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Statistical inference of the eigenspace components of a two-dimensional, symmetric rank-two random tensor by CAI, J, GRAFAREND, E. W, SCHAFFRIN, B

“…The eigenspace components (i.e. principal components and principal directions) play a key role in the validation of a symmetric rank-two random tensor, e.g…”
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The application of commutative algebra to geodesy : two examples by AWANGE, J. L, GRAFAREND, E. W, FUKUDA, Y, TAKEMOTO, S

“…Algebra, in particular commutative algebra, is applied here to provide a general unified solution to nonlinear systems of equations encountered in geodesy…”
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Finite element analysis of quasi-static earthquake displacement fields observed by GPS by ABOLGHASEM, A. M, GRAFAREND, E. W

“…In order to investigate the ability of numerical techniques in computing seismic displacement fields, a forward problem of dislocation theory is first solved…”
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Wavelet coherence analysis of Length-Of-Day variations and El Niño-Southern Oscillation by Liu, L.T., Hsu, H.T., Grafarend, E.W.

“…Wavelet coherence analysis is defined and used to analyze the relationships between Length-Of-Day (LOD) variations and El Niño-Southern Oscillation (ENSO) on…”
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World Geodetic Datum 2000 by GRAFAREND, E. W, ARDALAN, A. A

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The effect of topographical and atmospheric masses on spaceborne gravimetric and gradiometric data by Novák, P, Grafarend, E W

“…Current satellite missions dedicated to global mapping of the Earth’s gravity field are providing accurate global models of the geopotential. Harmonic (Stokes)…”
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Ellipsoidal vertical deflections and ellipsoidal gravity disturbance: Case studies by Grafarend, E. E., Finn, G., Ardalan, A. A.

“…First, we present three different definitions of the vertical which relate to (i) astronomical longitude and astronomical latitude as spherical coordinates in…”
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Somigliana-Pizzetti gravity : the international gravity formula accurate to the sub-nanoGal level by ARDALAN, A. A, GRAFAREND, E. W

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Space Gravity Spectroscopy - determination of the Earth’s gravitational field by means of Newton interpolated LEO ephemeris Case studies on dynamic (CHAMP Rapid Science Orbit) and kinematic orbits by Reubelt, T., Austen, G., Grafarend, E. W.

“…An algorithm for the (kinematic) orbit analysis of a Low Earth Orbiting (LEO) GPS tracked satellite to determine the spherical harmonic coefficients of the…”
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