By Neil Ashby
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Additional info for Global Position System Receivers and Relativity
Example text
Solution for r c and receiver clock bias b c neglecting Doppler correction. 000 000 300 0 prescriptions from the ICD-200, Table 20-IV, to obtain the satellite position in the ECEF frame. We must estimate the geometric path delay t D in addition to the ionospheric and tropospheric corrections. Since we know the receiver position we may compute t D as follows. If ECI position vectors are referenced to the time of signal transmission, then where R is the SV position vector, r is the receiver position vector, tT and tR are GPS time at respectively transmit and receive times, and v is the receiver velocity vector in the ECIF.
The third column lists the corrections A t R j obtained from eq (16). 5 ns. The maximum possible such difference is about 4 ns and could occur for a clock in a satellite in low earth orbit. The resulting values of local clock arrival times t C J are listed in the last column of Table 7 and are repeated in the last column of Table 8. There may still be a local clock bias in these data. In this example, the receiver clock has a bias of -423 ns. 27 Table 7. Computation of first-order Doppler corrections.
We either time tag measurements at a transmission time and measure time of reception, or time tag measurements at a reception time and determine time of transmission from the code lock of the receiver. We then use the 29 Table 11. Solution for r c and receiver clock bias b c neglecting Doppler correction. 000 000 300 0 prescriptions from the ICD-200, Table 20-IV, to obtain the satellite position in the ECEF frame. We must estimate the geometric path delay t D in addition to the ionospheric and tropospheric corrections.