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Modeling the ionospheric electron content for the correction of altimetric measurements

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Abstract

The TOPEX-POSEIDON oceanographic satellite (due to be launched in 1992) will proceed to high accuracy altimetric measurements of the sea surface. Since the altimeter signals will propagate through the ionosphere, they will be retarded with respect to their free-space propagation delay. As a result, the measured altitude will exhibit an apparent lengthening which must be considered. In order to correct this effect, the ionosphere total electron content (TEC) beneath the satellite has to be known. This paper addresses the problem of determining the TEC form Doppler measurements performed on telemetric signals propagating between the satellite and the ground stations of the DORIS positioning system. This is an inverse problem which, in general, does not admit a single-valued solution. Physical observations of the ionophere lead us to assume that the TEC along each half-revolution is regular such that we can select an appropriate solution. This solution is approximated by cubic splines. The computed results are compared to simulation results, based on the Bent ionospheric model and seem to be particularly promising.

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References

  • CCIR Report 304-5 (1988),CCIR Atlas of Ionospheric Characteristics, UIT, Genève.

  • Ciarlet, P. G.,Introduction à l'analyse numérique matricielle et à l'optimisation (Masson 1985).

  • Ciarlet, P. G.,The Finite Element Method for Elliptic Problems (Amsterdam, North Holland 1977).

    Google Scholar 

  • Crouzeix, M., andMignot, A. L.,Analyse numérique des équations différentielles (Masson 1984).

  • Foucher, F., Fleury, R., andLassudrie-Duchesne P.,Correction of Ionospheric Effects for the Precise Orbit Determination of Satellites. AGARD-CP-453 (San Diego, California, USA 1989) pp. 33.1–33.12.

  • Lascaux, P., andTheodor, R.,Analyse numérique matricielle appliquée à l'art de l'ingénieur (Masson 1986).

  • Lassudrie-Duchesne, P.,A New Approach to the Derivation of the Total Electron Content Using Doppler Measurements from a Single Ground Station, Finland, International Beacon Satellite Symposium (URSI-COSPAR) (Univ. Oulu 1986) pp. 121–134.

  • Leitinger, R., Schmidt, G., andTauriainen, A. (1975),An Evaluation Method Combining the Differential Doppler Measurements from Two Stations that Enables the Calculation of the Electron Content of the Ionosphere, J. Geophys. Res.41, 201–213.

    Google Scholar 

  • Lions, J. L.,Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles (Dunod 1968).

  • Lions, J. L., andMagenes, E.,Problèmes aux limites non homogènes et applications, vol. 1. (Dunod 1968).

  • Lions, J. L., andStampacchia, G.,Variationnal inequalities, InCommunications on Pure and Applied Mathematics, vol. XX, (1967), pp. 496–519.

  • Rishbeth, H., andGarriott, O. K.,Introduction to Ionospheric Physics, International Geophysics Series, Vol. 14 (Academic Press 1969).

  • Sablonniere, P. (1978),Splines and Bezier Polygons Associated with a Polynomial Spline Curve, Computer Aided Design10 (4), 257–261.

    Google Scholar 

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Foucher, F., Ciavaldini, JF. Modeling the ionospheric electron content for the correction of altimetric measurements. PAGEOPH 135, 475–491 (1991). https://doi.org/10.1007/BF00879476

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  • DOI: https://doi.org/10.1007/BF00879476

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