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12.59:
The fractional error is
(
29
).
)(
(
1
1
E
E
E
1
1
E
E
E
R
h
R
Gm
g
Gmm
mgh
h
R
R
+

=


+
At this point, it is advantageous to use the algebraic expression for
g
as given in
Eq. (12.4) instead of numerical values to obtain the fractional difference as
,
)
(
1
E
E
E
R
h
R
h
R

=
+

so if the fractional difference is
m.
10
4
.
6
(0.01)
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Unformatted text preview: %, 1 4 E × = =R h If the algebraic form for g in terms of the other parameters is not used, and the numerical values from Appendix F are used along with , s m 80 . 9 2 = g , 10 7 . 8 3 E× = R h which is qualitatively the same....
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