On: “The Gravitational Attraction of a Right Rectangular Prism” by Dezsö Nagy (GEOPHYSICS, April 1966, p. 362–371)

Geophysics ◽  
1967 ◽  
Vol 32 (5) ◽  
pp. 920-920
Author(s):  
P. Vallabh Sharma
Keyword(s):  
Closed Form ◽  
Rectangular Prism ◽  
Gravitational Attraction

I would like to offer the following comment on the paper “The Gravitational Attraction of a Right Rectangular Prism” by Nagy in the April 1966 issue of Geophysics. It might be of interest to note that besides the papers (Sorokin, 1951; Haáz, 1953) which have been cited by the author, an earlier publication by Ansel (1936) also gives a solution in closed form for the gravitational attraction of a rectangular prism. Furthermore, Müller (1963) has given a solution which is valid for all possible positions of the prism with vertical sides.

Reply by author to Dr. LaFehr

Geophysics ◽  
1977 ◽  
Vol 42 (4) ◽  
pp. 877-877
Author(s):  
Shri Krishna Singh
Keyword(s):  
Closed Form ◽  
Solid Angle ◽  
Short Note ◽  
Circular Disc ◽  
Closed Form Expression ◽  
Gravitational Attraction ◽  
Form Expression ◽  
Practical Usefulness ◽  
Solid Angles ◽  
Classic Paper

It is difficult to include all references when dealing with a subject so well studied as the gravitational attraction of a circular disc. Although the practical usefulness of Nettleton’s paper can not be denied by anyone, it nevertheless gives no details (except for some references) of the computation of solid angles subtended by a disc from which his graphs (Geophysics, 1942, Figure 4) result. My short note deals with (in what I consider an easy way of) obtaining a closed form expression for the solid angle. For applications of the result the reader would do well to look up Nettleton’s classic paper.

THE GRAVITATIONAL ATTRACTION OF A RIGHT RECTANGULAR PRISM

Geophysics ◽  
1966 ◽  
Vol 31 (2) ◽  
pp. 362-371 ◽  
Author(s):  
Dezsö Nagy
Keyword(s):  
Gravity Field ◽  
Dimensional Analysis ◽  
Three Dimensional ◽  
Vertical Component ◽  
Gravitational Effect ◽  
Rectangular Prism ◽  
Gravitational Attraction ◽  
Closed Expression ◽  
Building Element ◽  
Terrain Corrections

The derivation of a closed expression is presented to calculate the vertical component of the gravitational attraction of a right rectangular prism, with sides parallel to the coordinate axis. As any configuration can be expressed as the sum of prisms of various sizes and densities, the computation of the total gravitational effect of bodies of arbitrary shapes at any point outside of or on the boundary of the bodies is straightforward. To calculate the gravitational effect of the “unit” building element a subroutine called Prism has been developed, tested, and incorporated, in one program to calculate terrain corrections, and in another program for three‐dimensional analysis of a gravity field.

On: “THE GRAVITATIONAL ATTRACTION OF A RIGHT RECTANGULAR PRISM,” BY DEZSÖ NAGY (GEOPHYSICS, APRIL, 1966, PP. 362–371)

Geophysics ◽  
1966 ◽  
Vol 31 (5) ◽  
pp. 987-987 ◽  
Author(s):  
Charles E. Corbató
Keyword(s):  
Vertical Component ◽  
Rectangular Prism ◽  
Gravitational Attraction ◽  
Gravitational Effects ◽  
Rectangular Parallelopiped

You might be interested to note that the results obtained by Nagy (1966) and published in Geophysics concerning the vertical component of the gravitational attraction of a right rectangular prism not only had been published previously by Sorokin and Haáz but also were derived and published (in English) 136 years ago by Everest (1830, p. 94–97). Everest calculated closed expressions which are equivalent to that of Nagy for the horizontal and vertical gravitational effects of a rectangular parallelopiped and used these equations to estimate the topographic deflection of the plumb bob due to the Satpura Range in India.

On: “THE GRAVITATIONAL ATTRACTION OF A RIGHT RECTANGULAR PRISM,” BY DEZSÖ NAGY (GEOPHYSICS, APRIL, 1966, PP. 362–371)

Geophysics ◽  
1966 ◽  
Vol 31 (5) ◽  
pp. 987-987 ◽  
Author(s):  
J. Cl. De Bremaecker
Keyword(s):  
Rectangular Prism ◽  
Gravitational Attraction ◽  
Simple Method ◽  
Coordinate Axis

The recent paper by Dezsö Nagy, “The gravitational attraction of a right rectangular prism,” is certainly of great interest. It might be pointed out, however, that in his textbook published in 1930, MacMillan already gave a formula for computing the potential of this body, as well as an extremely simple method to compute the derivatives along a coordinate axis. The Dover reprint is widely available.

To: “The Gravitational Attraction of a Right Rectangular Prism” by Dezsö Nagy, April, 1966, p. 362–371

Geophysics ◽  
1967 ◽  
Vol 32 (2) ◽  
pp. 368-368
Keyword(s):  
Rectangular Prism ◽  
Gravitational Attraction ◽  
Research Scientist ◽  
Pan American

Some typographical errors in the paper entitled “The Gravitational Attraction of a Right Rectangular Prism” by Dezsö Nagy, April, 1966, p. 362–371, were kindly pointed out by Donald B. Johnson, Research Scientist, Pan American Corp., Tulsa.

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