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On the Determination of Geopotential Differences from Satellite-to-Satellite Tracking

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Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 122))

Abstract

The Earth’s gravitational potential field can be obtained directly from low-low satellite-to-satellite tracking using range-rates and/or velocity vector differences. There are some possible advantages to measuring potential instead of acceleration or gradients of acceleration, as alternatively proposed. For example, direct geoid modeling in local areas without recourse to Stokes’s integral (but still Poisson’s integral to account for downward continuation). The usual measurement model relates the in situ geopotential difference to the range-rate between two satellites. This model neglects the effect of Earth’s rotation, which is on the order of 0.1kgal*m for polar-orbiting satellites. In this paper an analytic expression is derived for that effect. It is shown that the potential rotation effect can be determined in situ only from velocity and position vector measurements, which is possible using GPS baseline measurements. Applications to two upcoming satellite mission, GRACE and COSMIC are discussed.

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References

  • Danby, J.M. A. (1988). Foundamentals of Celestial Mechanics. William-Bell, Inc., Richmond, Virginia.

    Google Scholar 

  • Dickey, J. O. (1997). Satellite gravity geosphere. Report from the Commitee on Earth Gravity from Space, National Research Council, National Academy Press.

    Google Scholar 

  • Fischell, R.E. and Pisacane, V. L. (1978). A drag-free lo-lo satellite system for improved gravity field measurements. In Proceedings of the Ninth GEOP Conference, Report no.280, Department of Geodetic Science, Ohio State University, Columbus.

    Google Scholar 

  • Jekeli, C. (1998a). An analisys of geopotential difference determination from satellite-to-satellite tracking. Presented at the IGC and IGeC 2nd Joint Meeting, September 1998, Trieste, Italy.

    Google Scholar 

  • Jekeli, C. (1998b). The determination of gravitational potential differences from satellite-to-satellite tracking. Submitted to Celestial Mechanics And Dynamical Astronomy, October 1998.

    Google Scholar 

  • Jekeli, C. and Rapp, R. H. (1980). {Accuracy of the determination of mean anomalies and mean geoid undulations from a satellite gravity mapping mission}. Report no. 307, Department of Geodetic Science, The Ohio State University.

    Google Scholar 

  • Keating, T., Taylor, P., Khan, W., and Lerch, F. (1986). Geopotential Research Mission, Science, Engineering, and Program Summary. NASA tech. Memo. 86240.

    Google Scholar 

  • Lemoine, F. G. and et al. (1998). The development of the joint NASA GSFC and the National Imagery Mapping Agency (NIMA) geopotential model EGM96. NASA Technical Report NASA/TP-1998–206861, Godderd Space Flight Center, Greenbelt, Maryland.

    Google Scholar 

  • Martin, J. L. (1988). General Relativity, A Guide to its Consequences for Gravity and Cosmology. Ellis Horwood Ltd, Chichester.

    Google Scholar 

  • McCarthy, D.D. (1996). IERS Conventions (1996). IERS Technical Note 21, Observatoire de Paris, Paris.

    Google Scholar 

  • Rummel, R. (1980). Geoid heights, Geoid height differences, and mean gravity anomalies from low-low satellite-to-satellite tracking—an error analysys. Report no. 306, Department of Geodetic Science, Ohio State University, Columbus.

    Google Scholar 

  • Seeber, G. (1993). Satellite Geodesy. Walter de Gruyter, Berlin.

    Google Scholar 

  • Shum, C.K. and Jekeli, C. (1998). Contribution of cosmic mission to geodesy and geodynamics. In Proceedings of US-Taiwan Bilateral COSMIC Science Workshop, 26-28 Feb. 1998, Taipei.

    Google Scholar 

  • Tapley, B.D. and Reigber, C. (1998). GRACE: A satellite-to-satellite tracking geopotential mapping mission. In Proceedings of Second Joint Meeting of the Int. Gravity Commission and the Int. Geoid Commission, 7-12 September 1998, Trieste.

    Google Scholar 

  • Wolff, M. (1969). Direct measurements of the Earth’s gravitational potential using a satellite pair. Journal of Geophysical Research, 74(22):5295–5300.

    Article  Google Scholar 

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© 2001 Springer-Verlag Berlin Heidelberg

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Jekeli, C. (2001). On the Determination of Geopotential Differences from Satellite-to-Satellite Tracking. In: Benciolini, B. (eds) IV Hotine-Marussi Symposium on Mathematical Geodesy. International Association of Geodesy Symposia, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56677-6_7

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  • DOI: https://doi.org/10.1007/978-3-642-56677-6_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62574-9

  • Online ISBN: 978-3-642-56677-6

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