I don't see how spherical coordinates would be simpler for a rectangular prism array.
My limits are:
-t/2<x<t/2
-t/2<y<t/2
h<z<h+D
t=thickness of the columns. Such that the area of the column is t^2
h=measurement height above the z=0 plane. Such that g(0,0,0) is finite.
D = depth...
Thank you for your reply.
I am creating a geophysical inversion program, by which I treat one body as a set of vertical square columns. The only variables are then the density and depth of the individual columns. After defining the potential for one column, I can create an array of columns...
Hi
I am currently working on a project, and I need to calculate the definite triple integral of 1/|x+y+z|. i.e:
int int int (1/sqrt((x-x')^2+(y-y')^2+(z-z')^2)) dx dy dz.
I have solved the integral, and it has 48 terms if the limits are inserted (6 terms with 3 sets of upper and lower...