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Small Displacements on the surface of the earth.

Thus we consider here small displacements on the surface of the earth.

Consider a point r on the surface of the earth.
equation774

Consider two points r_1 and r_2, which lie on the surface of the earth, near r.
 eqnarray776

So define...
eqnarray778

As the tex2html_wrap_inline1259's are small we have:-
equation780

Thus from the equation's of the spheroid we have :-
equation782

Similarly for the second displacement we have...
equation784

The cos of u, the angle between these two displacements can be calculated from the scalar product...
equation786

The length of the displacements are :-...
eqnarray788


John Carter
Fri Feb 21 14:23:22 SAT 1997