Everything I have tried has failed, would be ever grateful for some help Ionosph

Question

Everything I have tried has failed, would be ever grateful for some help

Ionospherie Delay Calculate the ionosphere delay on a dual frequency receiver having pseudoranges of 20,201,176.125m and 20,201,169.567m on Li and L, respectively. The frequencies for Lj and L are 1575.42 MHz and 1227.60 MHz TEC LX Where X is the band; D14x is the ionospheric delay (m) on bandX: rcerr. is the corrected range (m);rex is the pseudorange on band X, TEC is the total electron content; and f^ is the frequency of bandX in Hz Use the above equations to find the following a) b) c) [1796] Ionospheric delay for L1 and L2 [490] Corrected range for L1 [4%] Corrected range for Lz as a check. Provide answers with mm preciion XXKm Hint: DIwill be different for Lj and L2 but the correctedrange will be the same for Lj and Lz

Explanation / Answer

we calculate the average Pseudorange to get the group path lengths P1 and P2 for the two frequencies

P1= (20 + 201 +176.125)/3 = 132.375m and P2= (20 +201+ 169.567)/3 = 130.189m

Now considering GPS signal the TEC= 1/40.3 (f1^2f2^2/f1^2-f2^2)(P2-P1) = 1/40.3 (1575.42^2 * 1227.60^2/ 1575.42^2 - 1227.60^2)( 132.375- 130.189) = 2.08* 10^5

a) For L1 Ionospheric delay = 2.08* 10^5/ 1575.42^2 = .08380 and for L2 Ionospheric delay = 2.08* 10^5/ 1227.60^2 = .1380

b) Correct range for L1= 2.1022

c) Correct range for L2 = 2.100

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