Upward continuation of Markov type anomalous gravity potential models

Journal of Geodesy

Volumn 70, Issue 9, 1996, Pages 539-545

  Eissfeller, Bernd ^a  

^a BUNDESWEHR UNIVERSITY MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

GRAVIMETRY; GRAVITY POTENTIAL MODEL; HEIGHT DEPENDENCY; MARKOV COVARIANCE MODEL; MARKOV GRAVITY MODEL; SHAPING FILTER;

EID: 0030469685     PISSN: 09497714     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00867861     Document Type: Article

References (23)

1. Bose SC, Mortensen RE (1984) Comments on " State Space Modells of Gravity Disturbance Gradients". IEEE Transactions on Aerospace and Electronic Systems, Vol. AES-20, No. 2, pp. 202-203.
2. Britting K (1971) Inertial Navigation Systems. Wiley-Interscience, J. Wiley & Sons, New-York-London-Sydney-Toronto.
3. Eissfeller B (1989) Analyse einer geodätischen raumstabilisierten Inertialplatform und Integration mit GPS. Schriftenreihe Universitärer Studiengang Vermessungswesen, Universität der Bundeswehr München, Heft 37, Neubiberg.
4. Eissfeller B, Spietz P (1989a) Shaping filter design for the anomalous gravity field by means of spectral factorization. Manuscripta Geodaetica, Vol. 14, pp. 183-192.
5. Eissfeller B, Spietz P (1989b) Basic Filter Concepts for the Integration of GPS and an Inertial Ring Laser Gyro Strapdown System. Mauscripta Geodaetica, Vol. 14, pp. 166-182.
6. Forsberg R (1986) Gravity-Induced Position Errors in Inertial Surveying. In: Proc. of the 3rd Int. Symposium on Inertial Technology for Surveying and Geodesy, Vol. 1, The University of Calgary, Calgary, Alberta, Publication 60005.
7. Gelb A (1974) Applied Optimal Estimation. The M.I.T. Press, Massachusetts Institute of Technology, Cambridge, MA.
8. Gradshteyn I, Ryzhik I (1980) Table of Integrals, Series and Products. Corrected and Enlarged Edition, Academic Press, New York.
9. Huddle JR (1991) Airborne Vector Gravimetry with an Aided Inertial Survey System. In: From Mars to Greenland: Charting Gravity with Space and Airborne Instruments. International Association of Geodesy Symposia 110, pp. 285-300, Vienna, Austria, August 20, Springer-Verlag, New-York-Berlin-Heidelberg.
10. Jekeli C (1991) GPS/INS Gravity Measurements in Space and on a Balloon. In: From Mars to Greenland: Charting Gravity with Space and Airborne Instruments. International Association of Geodesy Symposia 110, pp. 311-321, Vienna, Austria, August 20. Springer-Verlag, New-York-Berlin-Heidelberg.
11. Jordan SK, Heller WG (1978) Upward Continuation of Gravity Disturbance Covariance Functions. Journal of Geophysical Research, Vol. 83, No. B7, pp. 3382-3388.
12. Jordan SK (1972) Self-Consistent Statistical Models for the Gravity Anomaly, Vertical Deflections and Undulation of the Geoid. Journal of Geophysical Research, Vol. 77, No, 20, pp. 3660-3669.
13. Jordan SK, Moonan PJ, Weiss JD (1981) State Space Models of Gravity Disturbance Gradients. IEEE Transactions on Aerospace and Electronic Systems, Vol AES-17, No.5, pp. 610-618.
14. Knickmeyer ET (1991) Vector Gravimetry by a Combination of Inertial and GPS Satellite measurements. USCE Report, No. 20035, University of Calgary, Calgary, Alberta.
15. Levine SA, Gelb A (1969) Effect of the Deflections of the Vertical on the Performance of a Terrestrial Inertial Navigation System. Journal of Spacecraft and Rockets, Vol. 6, No. 9.
16. Moritz H, Wei M (1987) A Simple Error Study for the Gradiometer -Accelerometer Equation. Manuscripta Geodaetica, Vol. 12, pp. 113-127.
17. Moritz H (1980) Advanced Physical Geodesy. Herbert Wichmann, Karlsruhe.
18. Schröder D, Wiegner S, Grafarend E, Schaffrin B (1987) Simulation eines Geodätischen Inertialsystems. In: Beiträge zur Inertialgeodäsie. Geodätisches Seminar 25./26. Sept. 1986. Schriftenreihe Universitärer Studiengang Vermessungswesen, Universität der Bundeswehr München, Heft 22, pp. 197-235, Neubiberg.
19. Schwarz KP (1986) The Error Model of Inertial Geodesy. In: Mathematical and Numerical Techniques in Physical Geodesy, Lecture Notes in Earth Sciences, Vol. 7, Springer Verlag, Berlin-Heidelberg, pp. 464-504.
20. Soltz A (1986) Gravity Disturbance Models in the APT System. In: Proc. of the 3rd Int. Symposium on Inertial Technology for Surveying and Geodesy, Vol. 1, pp. 137-160, The University of Calgary, Calgary, Alberta, Publication 60005.
21. Tziavos IN, Schwarz KP, Wong R, Panenka J (1991) Controlling Common Mode Stabilization Errors in Airborne Gravity Gradiometry. In: From Mars to Greenland: Charting Gravity with Space and Airborne Instruments. International Association of Geodesy Symposia 110, pp. 301-310, Vienna, Austria, August 20. Springer-Verlag, New-York-Berlin-Heidelberg.
22. Vassiliou AA, Schwarz K P (1987) Study of the High Frequency Spectrum of the Anomalous Gravity Potential. Journal of Geophysical Research, Vol. 92, No. B1, pp. 609-617.
23. Wong R (1982) A Kalman Filter-Smoother for an Inertial Survey System of Local Level Type. The University of Calgary , Publication 20001, Calgary, Alberta.