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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