Ellipsoidal Neumann geodetic boundary-value problem based on surface gravity disturbances: case study of Iran |
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| Authors: | Mehdi Najafi-Alamdary Alireza A Ardalan Seyed-Rohallah Emadi |
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| Institution: | 1. Faculty of Geodesy and Geomatics Engineering, K.N. Toosi University of Technology, 1346 Valiasr Street, Mirdaamaad Intersection, Tehran, Iran
2. Department of Surveying and Geomatics Eng., Center of Excellence in Surveying Engineering and Disaster Management, Faculty of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran
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| Abstract: | An ellipsoidal Neumann type geodetic boundary-value problem (GBVP) for the computation of disturbing potential on the surface
of the Earth based on the surface gravity disturbance as the boundary data is formulated. The solution methodology of the
GBVP can be algorithmically summarized as follows: (i) using global navigation satellite systems (GNSS) coordinates of the
gravity stations, the surface gravity disturbances are generated as the boundary data. (ii) Applying the deflection correction
to the gravity disturbances to arrive at the derivative of the surface disturbing potential along the ellipsoidal normal.
(iii) Removing the low frequencies part of the gravity field using harmonic expansion to degree and order 110. (iv) Using
the short wavelength part of the corrected gravity disturbances derived in the previous section as the boundary data within
the constructed GBVP to derive the short wavelength disturbing potential over the Earth surface. (v) The computed shortwave
length signals of disturbing potentials are converted to disturbing potential values by restoring the removed effects. |
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