Geodesy; The Figure of the Earth and Isostasy from Measurements in the United States

Geodesy; The Figure of the Earth and Isostasy from Measurements in the United States

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 edition. Excerpt: ... observations of gravity show positively that the value of the flattening given by solution B, -, can Loo. 7 not exist. Solution A is also evidently a considerably wider departure from the truth than solution G. The introduction of the assumption of complete isostatic compensation uniformly distributed within the depth 113.7 kilometers in the place of the assumption that no relation exists between deflections of the vertical and topography, has reduced the sum of the squares of the residuals from 13 922 to 8 013. In other words, the introduction of the assumption of isostasy in a definite and reasonable form has eliminated 42 per cent from the eum of the squares of the residuals. Solution G is apparently a closer approximation to the truth than solution E. Solution G is apparently slightly nearer the truth than solution H, but there is little basis here shown for a choice between these two. The following table shows other means of comparison among the five solutions: Solution n. Solution E. Solution H. Solution G. I Solution A. 1 Maximum residual +43.84-16.47 +15.74; +15.94-22.35 Percentage of residuals greater than 5."00, 66 18 18 18 29 Percentage of residuals less than 2."00 15-1I 43 43 35 Mean residual, without regard to sign 8.86 3.06 3.04 1 3.04' 3.92 These comparisons confirm the statements already made, based on the sums of the squares of the residuals. The results of the five solutions make it clear that if the assumed depth of compensation is made to vary from infinity to zero the sum of the squares of the residuals decreases from 65 434 for the assumed depth infinity to a minimum value of about 8 010 for some assumed depth not differing greatly from 114 kilometers, and then increases again to 13 922 as the assumed depth...show more

Product details

  • Paperback | 74 pages
  • 189 x 246 x 4mm | 150g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236499352
  • 9781236499356