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for  the  remaining  portion  of  the  earth.  While  the  observational
                  requirements for these computations appear enormous, the results well
                  justify the necessary survey work.








































                                   Figure 13.4 Products of the gravimetric method

                        Figure 13.4. shows how the mass surplus of the mountains and

                  the mass deficiency of the oceans cause the deflections of the vertical
                  and the undulations of the geoid. A mountain mass attracts the plumb
                  line from the normal of the ellipsoid. Likewise the mass deficiency of
                  the ocean does not attract the plumb line. These effects of the mass

                  anomalies contribute to the deflection of the vertical. However, both
                  deflections of the vertical and undulation values result from density
                  variations  throughout  the  earth.  In  the  area  of  mass  surplus,  the

                  observed gravity (reduced to sea level considering only the elevation)
                  is generally greater than the theoretical value, and the anomalies are
                  positive. In the areas of mass deficiency, the observed (reduced in the
                  same manner) is generally smaller than the theoretical value and the

                  anomalies are negative. Figure 13.5.
                        The deflections and undulations computed with sufficient gravity
                  information  are  considered  absolue  values  referred  to  an  earth-





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