Find the adjusted baseline vector components

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Reference no: EM132856395

GNSS baseline adjustment

564_GNSS baseline.jpg

Given the following GNSS baseline observations and geocentric control station coordinates to the figure above, complete the following tasks:

a) Find the most probable coordinates of stations B, D and E
b) Find the adjusted baseline vector components and their residuals
c) Run a final check on the adjustment (required only for baselines AB and CE)
d) Find the standard deviations for coordinates of stations B, D and E
e) Find the standard deviation for the difference between the adjusted X coordinates
of stations B and D, that is s_((X_B-X_D) ), which is a function of the unknowns.

For the construction of the P-matrix, use σ₀²=0.0001m²

Control:	A	C
X [m]	-2408843.951	-2409355.162
Y [m]	-3766414.748	-3765292.295
Z [m]	4534152.298	4534760.702

The ΔX, ΔY, and ΔZ baseline components (in m) together with the baseline 3x3 variance-covariance matrices (in m2) are as follows:

Baseline AB
ΔX	62.602	1.07E-05	1.61E-07	1.27E-07
ΔY	590.148	1.61E-07	1.00E-05	4.46E-07
ΔZ	35.961	1.27E-07	4.46E-07	1.02E-05

Baseline BE
ΔX	-445.908	1.01E-05	5.06E-07	-1.08E-07
ΔY	204.421	5.06E-07	1.01E-05	5.84E-07
ΔZ	377.022	-1.08E-07	5.84E-07	9.92E-06

Baseline CE
ΔX	127.889	9.55E-06	1.14E-08	-1.29E-06
ΔY	-327.871	1.14E-08	9.85E-06	4.20E-07
ΔZ	-195.426	-1.29E-06	4.20E-07	9.99E-06

Baseline ED
ΔX	-409.554	1.00E-05	4.13E-07	4.52E-07
ΔY	-180.012	4.13E-07	1.01E-05	7.26E-07
ΔZ	-377.014	4.52E-07	7.26E-07	1.00E-05

Baseline DA
ΔX	792.861	1.02E-05	4.99E-08	-2.20E-07
ΔY	-614.543	4.99E-08	1.00E-05	3.91E-08
ΔZ	-35.961	-2.20E-07	3.91E-08	9.81E-06

Hand in: A completed Excel document.

Attachment:- GNSS baseline adjustment.rar

Reference no: EM132856395

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