12.07.2015 Views

surveying iii (topographic and geodetic surveys) - Modern Prepper

surveying iii (topographic and geodetic surveys) - Modern Prepper

surveying iii (topographic and geodetic surveys) - Modern Prepper

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Figure 1-16. Single Astronomic Station Datum Orientation(2) Astronomic-Geodetic Method. When comparing the <strong>geodetic</strong> <strong>and</strong> astronomic coordinates ofa point, discrepancies will normally be found between the two sets of values. The deflection of thevertical angle, formed by the intersection of the ellipsoid <strong>and</strong> geoid normals, is usually expressed interms of north-south <strong>and</strong> east-west. The north-south component, frequently called the meridionalcomponent, is equal to the difference between <strong>geodetic</strong> <strong>and</strong> astronomic latitude. The east-westcomponent is proportional to the difference between the <strong>geodetic</strong> <strong>and</strong> the astronomic longitude <strong>and</strong>proportional to the difference between the <strong>geodetic</strong> <strong>and</strong> the astronomic azimuth. Consequently, the eastwestcomponent can be found in two ways. From the two ways of expressing the east-west component,we derive what is known as the Laplace equation.(a) Since the Laplace equation is derived from certain mathematical relationships whichinvolve the components of the deflection of the vertical along with astronomical <strong>and</strong> <strong>geodetic</strong> latitude,longitude, <strong>and</strong> azimuth, the following equations shown in Table 1-2, page 1-28, may be moreenlightening:EN0593 1-26

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!