A meissl-modified Vaníček and Kleusberg kernel to reduce the truncation error in gravimetric geoid computations

Journal of Geodesy

Volumn 72, Issue 3, 1998, Pages 154-160

  Featherstone, W E ^a   Evans, J D ^b   Olliver, J G ^c  

^a CURTIN UNIVERSITY   (Australia)

^b ABERYSTWYTH UNIVERSITY   (United Kingdom)

^c UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Gravimetric geoid determination; Modified kernels; Truncation error reduction

Indexed keywords

GEOID ERROR; GRAVIMETRY; TRUNCATION;

EID: 0031746757     PISSN: 09497714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001900050157     Document Type: Article

References (22)

1. de Witte L (1967) Truncation errors in the Stokes and Vening Meinesz formulae for different order spherical harmonic gravity terms. Geophys J R Astron Soc 12: 449-464
2. Heck B, Grüninger W (1987) Modification of Stokes's integral formula by combining two classical approaches. IUGG General Assembly, Vancouver
3. Heiskanen WH, Moritz H (1967) Physical geodesy. Freeman, San Francisco
4. Jekeli C (1980) Reducing the error in geoid undulation computations by modifying Stokes's function. OSU Rep 301, Dept Geod Sci Surv, Ohio State University, Columbus
5. Jekeli C (1981) Modifying Stokes's function to reduce the error of geoid undulation computations. J Geophys Res 86(B8): 6985-6990
6. Meissl P (1971a) Preparations for the numerical evaluation of second-order Molodensky-type formulas. OSU Rep 163, Dept Geod Sci Surv, Ohio State University, Columbus
7. Meissl P (1971b) On the linearisation of the geodetic boundary value problem. OSU Rep 152, Dept Geod Sci Surv, Ohio State University, Columbus
8. Molodensky MS, Eremeev VF, Yurkina MI (1962) Methods for study of the external gravitational field and figure of the Earth. Israeli Programme for the Translation of Scientific Publications, Jerusalem
9. Paul MK (1973) A Method of evaluating the truncation error coefficients for geoidal height. Bull Geod 47: 413-425
10. Petrovskaya MS. Pishchukhina KV (1990) Methods for compact approximation of geoid height. Manuscr Geod 15: 253-260
11. Rapp RH, Rummel R (1975) Methods for the computation of detailed geoids and their accuracy. OSU Rep 233, Dept Geod Sci Surv, Ohio State University, Columbus
12. Sjöberg LE (1984) Least-squares modification of Stokes's and Vening Meinesz's formula by accounting for truncation and potential coefficient errors. Manuscr Geod 9: 209-229
13. Sjöberg LE (1986) Comparison of some methods of modifying Stokes's formula. Boll Geod Sci Aff 45: 229-248
14. Sjöberg LE (1991) Refined least-squares modification of Stokes's formula. Manusr Geod 16: 367-375
15. Smeets I (1994) An error analysis of the height anomaly determined by a combination of mean terrestrial gravity anomalies and a geopotential model. Boll Geod Sci Aff 53: 57-96
16. Stokes GG (1849) On the variation of gravity on the surface of the Earth. Trans Camb Phil Soc 8: 672-695
17. Vaníček P, Kleusberg A (1987) The Canadian geoid - Stokesian approach. Manuscr Geod 12: 86-98
18. Vaníček P, Sjöberg LE (1991) Reformulation of Stokes's theory for higher than second-degree reference field and modification of integration kernels. J Geophys Res 96(B4): 6529-6539
19. Vaníček P, Zhang C, Ong P (1990) Computation of a file of geoidal heights using Molodensky's truncation method. UNB Rep 147, Dept Surv Eng, University of New Brunswick
20. Wenzel H-G (1982) Geoid computation by least-squares spectral combination using integration kernels. In: (ed) Proc IAG General Meeting, Tokyo, pp 438-453
21. Wichiencharoen C (1984) A comparison of gravimetric geoid undulations computed by the modified Molodensky truncation method and the method of least-squares spectral combination by optimal integration kernel. Bull Geod 58: 494-509
22. Wong L, Gore R (1969) Accuracy of geoid heights from modified Stokes kernels. Geophys J R Astron Soc 18: 81-91