A precise multipass method for satellite Doppler positioning |
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| Authors: | K Aksnes P H Andersen E Haugen |
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| Institution: | (1) Mathematics Section, Norwegian Defence Research Establishment, P.O. Box 25, N-2007 Kjeller, Norway;(2) Institute for Mathematical and Physical Sciences, University of Tromsø, P.O. Box 953, N-9001 Tromsø, Norway;(3) Mathematics Section, Norwegian Defence Research Establishment, P.O. Box 25, N-2007 Kjeller, Norway;(4) Norwegian Space Centre, Smestad, P.O. Box 85, N-0309 Oslo 3, Norway |
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| Abstract: | A precise and efficient algorithm is developed for determining the locations of radio beacons (e.g. of the ARGOS or COSPAS/SARSAT type) based on Doppler shift measurements in overflying satellites. The method distinguishes itself through: (1) the use of a very compact analytic orbital theory valid for all eccentricities, (2) autonomous orbit improvement based on Doppler data for one or more local reference beacons accessible at a single LUT, (3) simultaneous orbit improvement and calculation of beacon coordinates for an arbitrary number of satellites, satellite passes, and beacons, and (4) very efficient semi-analytic matrix inversion by partitioning into global, semi-global, and local parameters.The algorithm has been implemented in a FORTRAN program which can be run on a PC. Error statistics are presented from applications of the program to a large number of actual Doppler curves obtained with the ARGOS and COSPAS/SARSAT systems. |
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