Abstract
It is well-known that Rosborough approach, based on spherical harmonics, can be efficiently applied to determine the unknown global gravitational field parameters in the framework of the so-called space-wise approach. Usually, for regional gravity field modeling radial basis functions instead of spherical harmonics are used as basis functions. Using the strong relationship between radial basis functions and spherical harmonics, the Rosborough counterparts of radial basis functions are developed. Based on these regionally supported Rosborough basis functions, all components of gravity-gradient tensor are expressed as series in regionally supported Rosborough basis functions. In a simulation study the feasibility of regional static and time-variable gravity field recovery from satellite gradiometry data using regionally supported Rosborough functions is tested.
| Original language | English |
|---|---|
| Pages (from-to) | 295-318 |
| Number of pages | 24 |
| Journal | GEM - International Journal on Geomathematics |
| Volume | 6 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2015 Nov 1 |
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All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Earth and Planetary Sciences(all)
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Rosborough approach for the determination of regional time variability of the gravity field from satellite gradiometry data. / Keller, Wolfgang; You, Rey-Jer.
In: GEM - International Journal on Geomathematics, Vol. 6, No. 2, 01.11.2015, p. 295-318.Research output: Contribution to journal › Article
TY - JOUR
T1 - Rosborough approach for the determination of regional time variability of the gravity field from satellite gradiometry data
AU - Keller, Wolfgang
AU - You, Rey-Jer
PY - 2015/11/1
Y1 - 2015/11/1
N2 - It is well-known that Rosborough approach, based on spherical harmonics, can be efficiently applied to determine the unknown global gravitational field parameters in the framework of the so-called space-wise approach. Usually, for regional gravity field modeling radial basis functions instead of spherical harmonics are used as basis functions. Using the strong relationship between radial basis functions and spherical harmonics, the Rosborough counterparts of radial basis functions are developed. Based on these regionally supported Rosborough basis functions, all components of gravity-gradient tensor are expressed as series in regionally supported Rosborough basis functions. In a simulation study the feasibility of regional static and time-variable gravity field recovery from satellite gradiometry data using regionally supported Rosborough functions is tested.
AB - It is well-known that Rosborough approach, based on spherical harmonics, can be efficiently applied to determine the unknown global gravitational field parameters in the framework of the so-called space-wise approach. Usually, for regional gravity field modeling radial basis functions instead of spherical harmonics are used as basis functions. Using the strong relationship between radial basis functions and spherical harmonics, the Rosborough counterparts of radial basis functions are developed. Based on these regionally supported Rosborough basis functions, all components of gravity-gradient tensor are expressed as series in regionally supported Rosborough basis functions. In a simulation study the feasibility of regional static and time-variable gravity field recovery from satellite gradiometry data using regionally supported Rosborough functions is tested.
UR - http://www.scopus.com/inward/record.url?scp=84945183960&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84945183960&partnerID=8YFLogxK
U2 - 10.1007/s13137-015-0077-5
DO - 10.1007/s13137-015-0077-5
M3 - Article
VL - 6
SP - 295
EP - 318
JO - GEM - International Journal on Geomathematics
JF - GEM - International Journal on Geomathematics
SN - 1869-2672
IS - 2
ER -