메뉴 건너뛰기




Volumn 78, Issue 4-5, 2004, Pages 314-332

The analytical continuation bias in geoid determination using potential coefficients and terrestrial gravity data

Author keywords

Analytical continuation; Geoid; Geopotential model; Stokes's formula; Topographic corrections

Indexed keywords

GEOID; GRAVITY FIELD; STOKES FORMULA; TOPOGRAPHY;

EID: 10944256350     PISSN: 09497714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00190-004-0395-0     Document Type: Article
Times cited : (35)

References (46)
  • 1
    • 84884387769 scopus 로고    scopus 로고
    • A compendium of physical geodesy
    • Sansó F (ed) Lecture Notes, International School for the Determination and Use of the Geoid. Int Geoid Service, DIIAR-Politecnico di Milano
    • Albertella A, Sansó F (1997) A compendium of physical geodesy. In: Sansó F (ed) Lecture Notes, International School for the Determination and Use of the Geoid. Int Geoid Service, DIIAR-Politecnico di Milano, pp 1-70
    • (1997) , pp. 1-70
    • Albertella, A.1    Sansó, F.2
  • 5
    • 85040854517 scopus 로고
    • A study of terrain reductions, density anomalies and geophysical inversion methods in gravity field modelling
    • Rep 355, Department of Geodetic Science, The Ohio State University, Columbus
    • Forsberg R (1984) A study of terrain reductions, density anomalies and geophysical inversion methods in gravity field modelling. Rep 355, Department of Geodetic Science, The Ohio State University, Columbus
    • (1984)
    • Forsberg, R.1
  • 6
    • 0019659640 scopus 로고
    • The use of height data in gravity field approximation
    • Forsberg R, Tscherning CC (1981) The use of height data in gravity field approximation. Geophys Res 86:7843-7854
    • (1981) Geophys. Res. , vol.86 , pp. 7843-7854
    • Forsberg, R.1    Tscherning, C.C.2
  • 7
    • 0004131146 scopus 로고
    • Global DTM5
    • Getech Geophysical Exploration Technology (GETECH), University of Leeds, Leeds
    • Getech (1995) Global DTM5. Geophysical Exploration Technology (GETECH), University of Leeds, Leeds
    • (1995)
  • 8
    • 0008459489 scopus 로고
    • The convergent series expansion of the gravity field of a star shaped body
    • Grafarend E, Engels J (1994) The convergent series expansion of the gravity field of a star shaped body. Manuscr Geod 19:18-30
    • (1994) Manuscr. Geod. , vol.19 , pp. 18-30
    • Grafarend, E.1    Engels, J.2
  • 10
    • 0036081806 scopus 로고    scopus 로고
    • A unifed approach to the Clenshaw summation and the recursive computation of very high degree and order normalised associated Legendre functions
    • Holmes SA, Featherstone WE (2002) A unifed approach to the Clenshaw summation and the recursive computation of very high degree and order normalised associated Legendre functions. J Geod 76(5):279-299
    • (2002) J. Geod. , vol.76 , Issue.5 , pp. 279-299
    • Holmes, S.A.1    Featherstone, W.E.2
  • 11
    • 0007670528 scopus 로고
    • The downward continuation to the Earth's surface of the truncated spherical and ellipsoidal harmonic series of gravity and height anomalies
    • Rep 327, Department of Geodetic Science, The Ohio State University, Columbus
    • Jekeli C (1981) The downward continuation to the Earth's surface of the truncated spherical and ellipsoidal harmonic series of gravity and height anomalies. Rep 327, Department of Geodetic Science, The Ohio State University, Columbus
    • (1981)
    • Jekeli, C.1
  • 12
    • 51249184049 scopus 로고
    • A numerical study of the divergence of spherical harmonic series of the gravity and height anomalies at the Earth's surface
    • Jekeli C (1983) A numerical study of the divergence of spherical harmonic series of the gravity and height anomalies at the Earth's surface. Bull Géod 57:10-28
    • (1983) Bull. Géod. , vol.57 , pp. 10-28
    • Jekeli, C.1
  • 13
    • 0000673106 scopus 로고    scopus 로고
    • Spherical harmonic analysis, aliasing and filtering
    • Jekeli C (1996) Spherical harmonic analysis, aliasing and filtering. J Geod 70:214-223
    • (1996) J. Geod. , vol.70 , pp. 214-223
    • Jekeli, C.1
  • 14
    • 0042769326 scopus 로고    scopus 로고
    • Review and numerical assessment of the direct topographical reduction in geoid determination
    • Jekeli C, Serpas JG (2003) Review and numerical assessment of the direct topographical reduction in geoid determination. J Geod 77:226-239
    • (2003) J. Geod. , vol.77 , pp. 226-239
    • Jekeli, C.1    Serpas, J.G.2
  • 15
    • 10944248743 scopus 로고
    • The effect of the smoothing operator on potential coefficient determination
    • Rep 287, Department of Geodetic Science, The Ohio State University, Columbus
    • Katsambalos K (1979) The effect of the smoothing operator on potential coefficient determination. Rep 287, Department of Geodetic Science, The Ohio State University, Columbus
    • (1979)
    • Katsambalos, K.1
  • 16
    • 0006833952 scopus 로고
    • Contribution to the mathematical foundation of physical geodesy
    • Publ 44, Dan Geod Inst, Copenhagen
    • Krarup TA (1969) Contribution to the mathematical foundation of physical geodesy. Publ 44, Dan Geod Inst, Copenhagen
    • (1969)
    • Krarup, T.A.1
  • 17
    • 0003642338 scopus 로고    scopus 로고
    • Boundary-value problems for gravimetric determination of a precise geoid
    • Lecture Notes in Earth Sciences no. 73. Springer, Berlin Heidelberg New York
    • Martinec Z (1998) Boundary-value problems for gravimetric determination of a precise geoid. Lecture Notes in Earth Sciences no. 73. Springer, Berlin Heidelberg New York
    • (1998)
    • Martinec, Z.1
  • 19
    • 0036344870 scopus 로고    scopus 로고
    • Two different method of geoidal determination using a spherical harmonic representation of the geopotential, topographic corrections and the height anomaly-geoid height difference
    • Nahavandchi H (2002) Two different method of geoidal determination using a spherical harmonic representation of the geopotential, topographic corrections and the height anomaly-geoid height difference. J Geod 76:345-352
    • (2002) J. Geod. , vol.76 , pp. 345-352
    • Nahavandchi, H.1
  • 20
    • 0035027281 scopus 로고    scopus 로고
    • Two different views of topographical and downward-continuation corrections in the Stokes-Helmert approach to geoid computation
    • Nahavandchi H, Sjöberg LE (2001) Two different views of topographical and downward-continuation corrections in the Stokes-Helmert approach to geoid computation. J Geod 74:816-822
    • (2001) J. Geod. , vol.74 , pp. 816-822
    • Nahavandchi, H.1    Sjöberg, L.E.2
  • 21
    • 51249185493 scopus 로고
    • Recurrence relationships for the integral if the associate Legendre functions
    • Paul MK (1978) Recurrence relationships for the integral if the associate Legendre functions. Bull Géod 52:177-190
    • (1978) Bull. Géod. , vol.52 , pp. 177-190
    • Paul, M.K.1
  • 23
    • 0030832009 scopus 로고    scopus 로고
    • Use of potential coefficient models for geoid undulation determinations using a spherical harmonic representation of the height anomaly/geoid undulation difference
    • Rapp RH (1997) Use of potential coefficient models for geoid undulation determinations using a spherical harmonic representation of the height anomaly/geoid undulation difference. J Geod 71:282-289
    • (1997) J. Geod. , vol.71 , pp. 282-289
    • Rapp, R.H.1
  • 26
    • 0005035108 scopus 로고
    • Regional geoid determination
    • Vanicek P, Christou NT (eds) CRC Press, Boca Raton, FL
    • Sideris MG (1994) Regional geoid determination. In: Vanicek P, Christou NT (eds) Geoid and its geophysical interpretation. CRC Press, Boca Raton, FL pp 77-94
    • (1994) Geoid and Its Geophysical Interpretation , pp. 77-94
    • Sideris, M.G.1
  • 27
    • 0003436657 scopus 로고
    • On the errors of spherical harmonic developments of gravity at the surface of the Earth
    • Rep 257, Department Geodetic Science, The Ohio State University, Columbus
    • Sjöberg, LE (1977) On the errors of spherical harmonic developments of gravity at the surface of the Earth. Rep 257, Department Geodetic Science, The Ohio State University, Columbus
    • (1977)
    • Sjöberg, L.E.1
  • 28
    • 0022841276 scopus 로고
    • Comparison of some methods of modifying Stokes' formula
    • Sjöberg, LE (1986) Comparison of some methods of modifying Stokes' formula. Boll Geod Sci Aff 45(3):229-248
    • (1986) Boll. Geod. Sci. Aff. , vol.45 , Issue.3 , pp. 229-248
    • Sjöberg, L.E.1
  • 29
    • 0000093306 scopus 로고
    • Refined least squares modification of Stokes' formula
    • Sjöberg, LE (1991) Refined least squares modification of Stokes' formula. Manuscr Geod 16:367-375
    • (1991) Manuscr. Geod. , vol.16 , pp. 367-375
    • Sjöberg, L.E.1
  • 30
    • 0000338910 scopus 로고
    • On the quasigeoid to geoid separation
    • Sjöberg LE (1995) On the quasigeoid to geoid separation. Manuscr Geod 20:182-192
    • (1995) Manuscr. Geod. , vol.20 , pp. 182-192
    • Sjöberg, L.E.1
  • 31
    • 0030429063 scopus 로고    scopus 로고
    • The terrain effect in geoid computation from satellite derived geopotential models
    • Sjöberg LE (1996) The terrain effect in geoid computation from satellite derived geopotential models. Boll Geod Sci Aff 55(4):385-392
    • (1996) Boll. Geod. Sci. Aff. , vol.55 , Issue.4 , pp. 385-392
    • Sjöberg, L.E.1
  • 32
    • 85050737907 scopus 로고    scopus 로고
    • On the downward continuation error at the Earth's surface and the geoid of satellite derived geopotential models
    • Sjöberg LE (1999) On the downward continuation error at the Earth's surface and the geoid of satellite derived geopotential models. Boll Geod Sci Aff 58(3):215-229
    • (1999) Boll. Geod. Sci. Aff. , vol.58 , Issue.3 , pp. 215-229
    • Sjöberg, L.E.1
  • 33
    • 0034016901 scopus 로고    scopus 로고
    • Topographic effects by the Stokes-Helmert method of geoid and quasigeoid determination
    • Sjöberg LE (2000) Topographic effects by the Stokes-Helmert method of geoid and quasigeoid determination. J Geod 74:255-268
    • (2000) J. Geod. , vol.74 , pp. 255-268
    • Sjöberg, L.E.1
  • 34
    • 0034803959 scopus 로고    scopus 로고
    • Topographic and atmospheric corrections of gravimetric geoid determination with special emphasis on the effects of harmonics of degree zero and one
    • Sjöberg LE (2001a) Topographic and atmospheric corrections of gravimetric geoid determination with special emphasis on the effects of harmonics of degree zero and one. J Geod 75:283-290
    • (2001) J. Geod. , vol.75 , pp. 283-290
    • Sjöberg, L.E.1
  • 35
    • 0035037668 scopus 로고    scopus 로고
    • The effect of downward continuation of gravity anomaly to sea-level in Stokes' formula
    • Sjöberg LE (2001b) The effect of downward continuation of gravity anomaly to sea-level in Stokes' formula. J Geod 74:796-804
    • (2001) J. Geod. , vol.74 , pp. 796-804
    • Sjöberg, L.E.1
  • 36
    • 0038648776 scopus 로고    scopus 로고
    • A solution to the downward continuation effect on the geoid determined by Stokes' formula
    • Sjöberg LE (2003a) A solution to the downward continuation effect on the geoid determined by Stokes' formula. J Geod 77:94-100
    • (2003) J. Geod. , vol.77 , pp. 94-100
    • Sjöberg, L.E.1
  • 37
    • 0344552434 scopus 로고    scopus 로고
    • A computational scheme to model the geoid by the modified Stokes' formula without gravity reductions
    • Sjöberg LE (2003b) A computational scheme to model the geoid by the modified Stokes' formula without gravity reductions. J Geod 77:423-432
    • (2003) J. Geod. , vol.77 , pp. 423-432
    • Sjöberg, L.E.1
  • 38
    • 3142576820 scopus 로고    scopus 로고
    • The ellipsoidal corrections to topographic geoid effects
    • Sjöberg LE (2004) The ellipsoidal corrections to topographic geoid effects. J Geod 77:804-808
    • (2004) J. Geod. , vol.77 , pp. 804-808
    • Sjöberg, L.E.1
  • 39
    • 0034064606 scopus 로고    scopus 로고
    • Some aspects of the modification of Stokes formula
    • Sjöberg LE, Hunegnaw A (2000) Some aspects of the modification of Stokes formula. J Geod 74:232-238
    • (2000) J. Geod. , vol.74 , pp. 232-238
    • Sjöberg, L.E.1    Hunegnaw, A.2
  • 40
    • 0035071287 scopus 로고    scopus 로고
    • Convergence and optimal truncation of binomial expansions used in isostatic compensations and terrain corrections
    • Sun W, Sjöberg LE (2001) Convergence and optimal truncation of binomial expansions used in isostatic compensations and terrain corrections. J Geod 74:627-636
    • (2001) J. Geod. , vol.74 , pp. 627-636
    • Sun, W.1    Sjöberg, L.E.2
  • 41
    • 0037805514 scopus 로고    scopus 로고
    • Third completely revised and extended edition. Walter de Gruyter, Berlin
    • Torge W (2001) Geodesy. Third completely revised and extended edition. Walter de Gruyter, Berlin
    • (2001) Geodesy
    • Torge, W.1
  • 42
    • 0001048395 scopus 로고
    • The Stokes-Helmert scheme for the evaluation of a precise geoid
    • Vanicek P, Martinec Z (1994) The Stokes-Helmert scheme for the evaluation of a precise geoid. Manuscr Geod 19:119-128
    • (1994) Manuscr. Geod. , vol.19 , pp. 119-128
    • Vanicek, P.1    Martinec, Z.2
  • 43
    • 5244274780 scopus 로고
    • On the error of analytical downward continuation under planar approximation
    • Wang YM (1994) On the error of analytical downward continuation under planar approximation. Manuscr Geod 20:34-45
    • (1994) Manuscr. Geod. , vol.20 , pp. 34-45
    • Wang, Y.M.1
  • 44
    • 0030998935 scopus 로고    scopus 로고
    • On the error of analytical downward continuation of the Earth's external gravitational potential on and inside the Earth's surface
    • Wang YM (1997) On the error of analytical downward continuation of the Earth's external gravitational potential on and inside the Earth's surface. J Geod 71:70-82
    • (1997) J. Geod. , vol.71 , pp. 70-82
    • Wang, Y.M.1
  • 45
    • 0002441778 scopus 로고    scopus 로고
    • Ultra-high degree geopotential model GPM3E97A to degree and order 1800 tailored to Europe
    • Vermeer M and Adam J (eds) Budapest, 10-14 March, Reports of the Finnish Geodetic Institute 98:4, Marsala
    • Wenzel G (1998) Ultra-high degree geopotential model GPM3E97A to degree and order 1800 tailored to Europe. In: Vermeer M and Adam J (eds) Proc 2nd Continental Workshop on the Geoid in Europe, Budapest, 10-14 March, Reports of the Finnish Geodetic Institute 98:4, pp 71-80, Marsala
    • (1998) Proc. 2nd Continental Workshop on the Geoid in Europe , pp. 71-80
    • Wenzel, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.