1887
Volume 9 Number 1
  • E-ISSN: 1365-2478

Abstract

A

The vertical component of the attraction exerted by a horizontal homogeneous polygon is obtained as the sum of terms proportional to the difference, for each of the vertices, between the external angle and its spherical perspective. A set of computation charts is presented, each for a fixed value of the angle of the polygon (22° 30′, 30°, 45°, 67° 30’ and 90°). These charts give the difference between the external angle and its spherical perspective as a function of the quotient of the distance from the sides to the vertical through the station over the depth. The chart for the right angle is an alignment chart, permitting a more accurate reading; the others are graphs in rectangular coördinates.

For a remote station the result would be obtained as a small difference between relatively large quantities, and consequently with a not quite satisfactory precision. For these stations it is preferable to assume the entire mass to be concentrated in the centre of gravity.

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/content/journals/10.1111/j.1365-2478.1961.tb01124.x
2006-04-27
2020-08-06
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References

  1. Talwani, M., et Ewing, M., 1960, Rapid Computation of Gravitational Attraction of Three‐Dimensional Bodies of Arbitrary Shape, Geophysics, XXV, p. 203–225.
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  • Article Type: Research Article
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