Measurement Science - Assignment 8

Measurement Science - Assignment 8 - SUR 3520: Measurement...

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SUR 3520: Measurement Science Spring 2007 – Section 4218 Assignment No. 8 Due Date: April 3, 2007 Student UFID: 62441221 Student Name: Shane Christy 1. Write down the non-linear and then the linear observation equations for the following cases: Horizontal distance Linear: Nonlinear: Measurement units J: unit-less x: meters K: Arc-seconds V: Arc-seconds Azimuth Linear: Nonlinear: Measurement units J: unit-less x: meters K: Arc-seconds V: Arc-seconds University of Florida Geomatics – SFRC
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SUR 3520: Measurement Science Spring 2007 – Section 4218 Horizontal angle Linear: Nonlinear: Measurement units J: unit-less x: meters K: Arc-seconds V: Arc-seconds Horizontal circle reading Nonlinear: Linear: Measurement units J: unit-less x: meters K: Arc-seconds V: Arc-seconds 2. Describe three methods used to detect convergence (termination of iterations) in a nonlinear least squares adjustment, and the advantages and disadvantages of each. University of Florida Geomatics – SFRC
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SUR 3520: Measurement Science Spring 2007 – Section 4218 1) The method of maximum iterations uses a preset number of iterations which is helpful if the correct number of iterations that are chosen. . 2) Maximum correction uses an amount iterations that are continued until determined negligible; or when the amount of correction is beyond the number of significant digits at hand. 3) Monitoring the adjustments reference variance involves checking the reference variance for its changes between iterations 3. A Chi-squared test on the reference variance fails on the upper limit indicates that: (a) The apriori reference variance is in fact equal to one (b) The apriori reference variance is not equal to one (c) None of the above (d) Both of the above 4. Given the following observed values for the lines in a trilateration resection problem as: AU = 2828.83 ± 0.015ft BU = 2031.55 ± 0.011 ft CU = 2549.83 ± 0.012 ft The control coordinates of A , B , and C are a. What are the most probable values for the adjusted coordinates of station U ? 4231.59, 4452.48 5. For a braced quadric-lateral figure with eight angle observations, write down (no solution necessary): a. The observation equations necessary to perform a least squares adjustment to compute the station coordinate values Elevation difference: Dist: Azimuth: University of Florida Geomatics – SFRC
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Measurement Science - Assignment 8 - SUR 3520: Measurement...

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