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ANGLE REDUCTION AND MERIDIAN CONVERGENCE

ANGLE REDUCTION AND MERIDIAN CONVERGENCE. Learning Objectives. After this lecture you will be able to: Reduce measured angles for geodetic calculations Apply meridian convergence. Lecture Outline. SP1 Reducing observed angles to spheroid Diagrams Meridian Convergence Geodetic Traverses

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ANGLE REDUCTION AND MERIDIAN CONVERGENCE

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  1. ANGLE REDUCTION ANDMERIDIAN CONVERGENCE

  2. Learning Objectives After this lecture you will be able to: • Reduce measured angles for geodetic calculations • Apply meridian convergence

  3. Lecture Outline • SP1 • Reducing observed angles to spheroid • Diagrams • Meridian Convergence • Geodetic Traverses • Conclusion

  4. SP1 Requirements • In Study Book

  5. Reduction of Measured Angles to the Spheroid • Deflection of Verticals Correction • Geoid and ellipsoid normals different • Skew Normals Correction • Normals at each end not parallel • Correct to eliminate effect of two normal sections • Laplace Correction • Relationship between astronomical observed and geodetic azimuths • Used to correct astronomical azimuths

  6. Sample Data • We will cover these in next Prac/Tutorial • Indicative order of magnitude • Deflection correction 0”.063 • Skew normal correction 0”.003 • Laplace correction -6”0.72

  7. Diagrams

  8. Diagrams

  9. Meridian Convergence

  10. Geodetic Traverse - Several Diagrams

  11. Usual Diagram Another way of depicting the same diagram is:

  12. Geodetic Traverse - Single Diagram

  13. Meridian Convergence - ()

  14. Meridian Convergence - ()

  15. Meridian Convergence - ()

  16. Summary We investigated: • SP1 requirements • Corrections for • Deflection of Verticals • Skew Normals • Laplace Corrections • Meridian Convergence • Geodetic diagrams

  17. Conclusion You can now: • Reduce measured angles to a form in which they can be used for geodetic calculations • Calculate and apply meridian convergence

  18. Self Study • Read relevant module in study materials

  19. Review Questions

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