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Error study for the determination of the center of mass of the earth from Pageos observations

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Bulletin Géodésique (1946-1975)

Abstract

The least squares adjustment for the station coordinates of the worldwide satellite triangulation net gives, in addition to the station positions, the positions of the satellites observed in a simultaneous event from two or more stations. Through successive events short arcs can be fitted and the coordinates of the center of mass of the earth can be determined. It is shown that the center of mass will be obtained with an accuracy consistent with the accuracy of the station positions, if well distributed Pageos arcs of about one quarter of a revolution are taken and if three events per arc are given.

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References

  • J.M.A. DANBY: Fundamentals of Celestial Mechanics, Macmillan Co., New York, 1962.

    Google Scholar 

  • Explanatory Supplement to the Astronomical Ephemeris, Her Majesty’s Stationery Office, London, 1961.

  • J.G. HARTWELL: A Theoretical Development for the Determination of the Center of Mass of the Earth from Artificial Satellite Observations, paper presented at the 1968 Spring Meeting of the AGU, Washington, 1968.

  • K.R. KOCH: Alternate Representation of the Earth’s Gravitational Field for Satellite Geodesy, Bollettino di Geofisica Teorica ed Applicata, vol. 10, p. 318, 1968.

    Google Scholar 

  • K.R. KOCH and F. MORRISON: A Simple Layer Model of the Geopotential from a Combination of Satellite and Gravity Data, Journal of Geophysical Research, in print, 1970.

  • H.H. SCHMID: Application of Photogrammetry to Three-Dimensional Geodesy, EOS, Transactions, American Geophysical Union, vol. 50, p. 4, 1969.

    Article  Google Scholar 

  • I.I. SHAPIRO: The Prediction of Satellite Orbits, in Dynamics of Satellites, edited by M. Roy, Academic Press Inc., p. 257, New York, 1963.

    Google Scholar 

  • Smithsonian Institution, Geodetic Parameters for a 1966 Smithsonian Institution Standard Earth, edited by C.A. Lundquist and G. Veis, Smithsonian Astrophy. Obs. Spec. Rpt. 200, 1966.

  • H. WOLF: Ausgleichungsrechnung nach der Methode der kleinsten Quadrate, Dümmlers Verlag, Bonn 1968.

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Authors
  1. K. R. Koch
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  2. H. H. Schmid
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Koch, K.R., Schmid, H.H. Error study for the determination of the center of mass of the earth from Pageos observations. Bull. Geodesique 97, 233–243 (1970). https://doi.org/10.1007/BF02522140

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  • DOI: https://doi.org/10.1007/BF02522140

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