9. From a GPS base station, the location of a second point is determined using differential GPS as lying 3999.53 m east and 6982.47 m north of the base station. The GPS antenna is removed from the base station tripod and replaced with an EDM, which measures a distance of 8046.93 m to the second point. The GPS results are believed to be accurate to 20 cm in each component (east and north) while the EDM provides an accuracy of 10 cm. Provide the mathematical model suitable for adjustment of the second point's coordinates using a parametric least-squares adjustment. Is the model linear or non- linear2 What weight matriy chould be used in the adiustment2

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ISBN:9780470458365
Author:Erwin Kreyszig
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9. From a GPS base station, the location of a second point is determined using
differential GPS as lying 3999.53 m east and 6982.47 m north of the base station. The
GPS antenna is removed from the base station tripod and replaced with an EDM,
which measures a distance of 8046.93 m to the second point. The GPS results are
believed to be accurate to 20 cm in each component (east and north) while the EDM
provides an accuracy of 10 cm.
Provide the mathematical model suitable for adjustment of the second point's
coordinates using a parametric least-squares adjustment. Is the model linear or non-
linear? What weight matrix should be used in the adjustment?
Transcribed Image Text:9. From a GPS base station, the location of a second point is determined using differential GPS as lying 3999.53 m east and 6982.47 m north of the base station. The GPS antenna is removed from the base station tripod and replaced with an EDM, which measures a distance of 8046.93 m to the second point. The GPS results are believed to be accurate to 20 cm in each component (east and north) while the EDM provides an accuracy of 10 cm. Provide the mathematical model suitable for adjustment of the second point's coordinates using a parametric least-squares adjustment. Is the model linear or non- linear? What weight matrix should be used in the adjustment?
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