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APPROXIMATE GEODETIC DISTANCES

APPROXIMATE GEODETIC DISTANCES. Objectives. After this lecture you will be able to: Calculate approximate azimuth and lengths of lines from Df and Dl . Calculate approximate Df and Dl from azimuth and lengths of lines. Lecture Outline. Introduction Approximate change in latitude

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APPROXIMATE GEODETIC DISTANCES

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  1. APPROXIMATE GEODETIC DISTANCES

  2. Objectives After this lecture you will be able to: • Calculate approximate azimuth and lengths of lines from Df and Dl. • Calculate approximate Df and Dl from azimuth and lengths of lines.

  3. Lecture Outline • Introduction • Approximate change in latitude • Approximate change in longitude • Approximate length of a line • Example • Conclusion

  4. Introduction • Need to calculate approximate change in latitude and longitude from azimuth and distance • Estimate coordinates as a check • Seed accurate calculations • Also need approximate reverse calculation • Approximate direction and distance

  5. Approx  - Sphere Sphere radius = R l= Df . R

  6. r2 Df r1 Approx  - Spheroid Spheroid s= Df . rm

  7. Approx  - Spheroid

  8. Approx  - Spheroid

  9. Approx 

  10. Approx 

  11. Approx 

  12. Approximate Length of Line

  13. Example

  14. Example

  15. Example

  16. Example

  17. Conclusion You can now: • Calculate approximate azimuth and lengths of lines from Df and Dl. • Calculate approximate Df and Dl from azimuth and lengths of lines.

  18. Self Study • Read appropriate module in study materials

  19. Review Questions

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