Abstract
Two systems of FDOA equations are introduced to determine in real time the velocities of passive, i.e. non-cooperative, radiotransmitters at the emission instants of the signals, together with the frequencies of emission. The systems correspond to the Newtonian and post-Newtonian frameworks of the Earth surrounding space. The transmitters may be located on the Earth surface or in space. Each system yields accurate unique solutions at the corresponding level of approximation, provided that the locations are determined by appropriated TDOA measurements. The systems are derived by means of Synge’s world functions for the vicinity of the Earth, since it allows to clearly identify the post-Newtonian corrections due to the Earth tidal potential and to the gravitational signals’ time delays.
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Gambi, J.M., Tung, M.M., García del Pino, M.L., Clares, J. (2017). FDOA Determination of Velocities and Emission Frequencies of Passive Radiotransmitters in Space. In: Quintela, P., et al. Progress in Industrial Mathematics at ECMI 2016. ECMI 2016. Mathematics in Industry(), vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-63082-3_72
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DOI: https://doi.org/10.1007/978-3-319-63082-3_72
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