Geology Reference
In-Depth Information
Substitution from (9.98), with r 0 replacing r and r replacingρ, transforms the right
side, and we find that
d Y ( r , r 0 )
dr 0
Y ( r 0 , r )
=−
Y ( r , r 0 )
·
A ( r 0 )
·
Y ( r 0 , r ).
(9.108)
Right multiplying both sides by Y ( r , r 0 ) and using (9.106) reduces this relation to
d Y ( r , r 0 )
dr 0 =−
Y ( r , r 0 )
·
A ( r 0 ).
(9.109)
This then allows (9.104) to be expressed as
Y ( r , r 0 )
·
A
·
G
+
Y ( r , b ) y ( b ), r > r 0
y ( r )
=
(9.110)
Y ( r , b ) y ( b ),
r < r 0 .
Programme SHIFT.FOR computes the four required solutions of the non-
homogeneous equations and evaluates the changes in the inertia tensor in the epi-
central co-ordinate system. It then transforms the changes in the inertia tensor to
geocentric co-ordinates and finds the secular polar shift for specified fault
parameters.
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