High-resolution regional geoid computation without applying Stoke's formula: A case study of the Iranian geoid

Journal of Geodesy

Volumn 78, Issue 1-2, 2004, Pages 138-156

  Ardalan, A A ^a   Grafarend, E W ^b  

^a UNIVERSITY OF TEHRAN   (Iran)

^b UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Ellipsoidal approximation; Ellipsoidal boundary value problem; Ellipsoidal Bruns formula; Geoid; Gravity field modeling

Indexed keywords

GEOID; GRAVITY FIELD; MODELING;

EID: 4644269312     PISSN: 09497714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00190-004-0385-2     Document Type: Article

References (13)

1. Ardalan AA (2000) High-resolution regional geoid computation in the World Geodetic Datum 2000, based upon collocation of linearized observationals of the type GPS, gravity potential and gravity intensity. PhD Thesis, Department of Geodesy and GeoInformatics, Stuttgart University, Stuttgart. Available at http://elib.uni-stuttgart.de/opus/volltexte/2000/665/pdf/PhDonline.pdf
2. Ardalan AA (submitted) The role of reference equipotential surfaces in the geoid computation problems; case studies. Surv Eng.
3. Ardalan AA, Grafarend EW (2000) Reference ellipsoidal gravity potential field and gravity intensity field of degree/order 360/360 (manual of using ellipsoidal harmonic coefficients "ellipfree.dat" and ellipmean.dat"). Available at http:// www.uni-stuttgart.de/gi/research/index.html #Projects
4. Ardalan AA, Safari A (accepted) Ellipsoidal terrain correction based on multi-cylindrical equal area map projection of the reference ellipsoid. J Geod
5. Grafarend EW, Ardalan AA (1999) World geodetic datum 2000. J blank; Geod 73: 611-623
6. Grafarend EW, Sanso F (1984) The multibody space-time geodetic boundary-value problem and the Honkasalo term. Geophys. J R Ast Soc 78: 255-275
7. Grafarend EW, Schaffrin B (1993) Ausgleichungsrechnung in linearen Modellen. BI Wissenschaftsverlag, Manheim
8. Grafarend EW, Ardalan AA, Sideris M (1999) The ellipsoidal fixed-free two-boundary-value problem for geoid determination (the ellipsoidal Bruns transform). J Geod 73: 513-533
9. Martinec Z (1998) Boundary-value problem for gravimetric determination of a precise geoid. Springer, Berlin, Heidelberg New York
10. Mihelcic M (1972) Über eine Theorie zur Simultanauswertung von fluggravimetrischen und terrestrisch-gravimetrischen Messungsdaten. Heft C172, Deutsche Geodätische Kommission, Bayerische Akademie der Wissenschaften, München
11. Phillips DL (1962) A technique for the numerical solution of certain integral equations of the first kind. J Ass Comput, Mach, 9: 84-96
12. Tikhonov AN (1963) The regularization of incorrectly posed problems. Sov Math Dokl 4: 1624-1627
13. Weber G, Zomorrodian H (1988) Regional geopotential model improvement for the Iranian geoid determination. Bull God 62: 125-141