Skip to main content
SpringerLink
Log in

The geopotential to (14, 14) from a combination of satellite and gravimetric data

  • Published:
Bulletin Géodésique (1946-1975)

Abstract

A set of2261 5°×5° mean anomalies were used alone and with satellite determined harmonic coefficients of the Smithsonian' Institution to determine the geopotential expansion to various degrees. The basic adjustment was carried out by comparing a terrestrial anomaly to an anomaly determined from an assumed set of coefficients. The (14, 14) solution was found to agree within ±3 m of a detailed geoid in the United States computed using1°×1° anomalies for an inner area and satellite determined anomalies in an outer area. Additional comparisons were made to the input anomaly field to consider the accuracy of various harmonic coefficient solutions.

A by-product of this investigation was a new γE=978.0463 gals in the Potsdam system or978.0326 gals in an absolute system if −13.7 mgals is taken as the Potsdam correction. Combining this value of γE withf=1/298.25, KM=3.9860122·10 22 cm 3/sec 2, the consistent equatorial radius was found to be6378143 m.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • K. ARNOLD: Die Freiluftanomalien Im Europaischen Bereich, Deutsche Akademie Der Wissenschaften Zu Berlin, Veroffentlichungen des Geodatischen Instituts in Potsdam. Nr. 25. 1964.

  • E. M. GAPOSCHKIN: Tesseral Harmonic Coefficients and Station Coordinates from the Dynamic Method, in SAO Report No. 200, 1966.

  • W. HEISKANEN, and H. MORITZ: Physical Geodesy, W. H. Freeman and Co., San Francisco, 1967.

    Google Scholar 

  • W. M. KAULA: Tests and Combinations of Satellite Determinations of the Gravity with Gravimetry, JGR, Vol. 71, No. 22, Nov. 1966a.

  • W. M. KAULA: Theory of Satellite Geodesy, Blaisdell Publishing Co., 1966b.

  • L. KIVIOJA: The Effect of Topography and Its Isostatic Compensation on Free-Air Gravity Anomalies. Dept. of Geodetic Science Report No. 28, The Ohio State University, 1964.

  • W. KÖHNLEIN: The Accuracy of the Geopotential and Its Gradient Field, in SAO Report No. 200, 1966.

  • Y. KOZAI: The Zonal Harmonic Coefficients, in SAO Report No. 200, 1966, (original date—1964).

  • R. MATHER: The Extension of the Gravity Field in South Australia; University of New South Wales, Kensington, N.S.W., Australia, UNICIV Report R-19, Feb. 1967.

  • H. MORITZ: Interpolation and Prediction of Point Gravity Anomalies, Publications of the Isostatic Institute of the IAG, No. 40, Helsinki, 1963.

  • R. H. RAPP: The Prediction of Point and Mean Gravity Anomalies Through The Use of a Digital Computer, Dept. of Geodetic Science Report No. 43, The Ohio State University, 1964.

  • R. H. RAPP: The Procedural Development Phase of the Prediction of Mean Gravity Anomalies by Digital Computer, Dept. of Geodetic Science Report No. 57, The Ohio State University, 1966.

  • R. H. RAPP: Comparison of Satellite Geoids and Anomaly Fields, Dept. of Geodetic Science Report No. 80, The Ohio State University, 1967a.

  • R. H. RAPP: A Combination of Satellite and Gravimetric Data for a Detailed Geoid, Paper presented at 48th AGU meeting, Washington, D.C., April 1967, (Abstract Trans. AGU, March 1967), 1967b.

  • H. SCHMID, and E. SCHMID: A Generalized Least Squares Solution for Hybrid Measuring Systems, The Canadian Surveyor, March 1965.

  • SMITHSONIAN INSTITUTION: Geodetic Parameters For a 1966 Smithsonian Institution Standard Earth, Edited by C. A. Lundquist and G. Veis, SAO Report No. 200, 1966.

  • E. TENGSTRÖM: The Present State of the Test Work in the Westalps (section of report: Research on Methods of Determining Level Surfaces of the Earth's Gravity Field), 1965.

  • E. TENGSTRÖM: Report on the Use of Recent Satellite Results for Improving Absolute Deflections and Geoid Heights, Studia Geophysica et Geodaetica, 9, 1965.

  • U. A. UOTILA: Harmonic Analysis of World-Wide Gravity Material, Publication of the Isostatic Institute of the IAG, No. 39, Helsinki, 1962.

  • U. A. UOTILA: Gravity Field of a Mathematical Model of the Earth, Trans. AGU, March 1964, (Dept. of Geodetic Science Report No. 59, The Ohio State University, 1965).

  • U. A. UOTILA: Existing Surface Gravity Material, in: Gravity Anomalies: Unsurveyed Areas, AGU Monograph No. 9, 1966.

  • C. G. VEGOS, and D. W. TRASK: Ranger combined analysis, 2, Determination of the masses of the Earth and Moon from radio tracking data, Jet Propulsion Lab., Progr. Sum., 3, 37–44, 1967.

    Google Scholar 

  • J. R. WEBER, and A. K. GOODACRE: A Reconnaissance Underwater Gravity Survey of Lake Superior, in: The Earth beneath the Continents, AGU Monograph No. 10, 1966.

  • S. H. YUNGUL, and P. DEHLINGER: Preliminary Free-Air Gravity Anomaly Map of the Gulf of Mexico from Surface-Ship Measurements and Its Tectonic Implications, JGR, Vol. 6, No. 12, Nov. 1962.

  • P. S. ZAKATOV: A Course in Higher Geodesy translated from Russian, Office of Technical Services, 1962 (original date, Moscow, 1953).

Download references

Author information

Authors and Affiliations

  1. Department of Geodetic Science, The Ohio State University, Columbus, Ohio

    R. H. Rapp

Authors
  1. R. H. Rapp
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rapp, R.H. The geopotential to (14, 14) from a combination of satellite and gravimetric data. Bull. Geodesique 91, 47–80 (1969). https://doi.org/10.1007/BF02524845

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02524845

Search

Navigation