251
TABLE I
P
<V 3)
i n
(«;-(/)/.
The same procedure applied to formula (46) (three orientation
bearings) gives:
P
for p i the weight is estimated higher by a factor of approxi
mately 1.2. For longer distances the differences become extremely
large. However compared with (46) the weight is estimated smaller
by a factor 2 if p 2, but larger by the same factor if p 10.
It is clear from the curves y1 and y2 in figure 5, and also from the
tables 1 and 2 that the relative precision diminishes according to
the orientation bearings becoming longer. This fact (which is
intuitively felt) is not directly evident from the formula (47).
6. In connection with the derivations of the previous sections
the following guiding rules are recommended for the reconnaissance
of an intersection:
3
di.p
100
200
500
1000
2000
5000
metres
c2di.Py 2
5256
2704
1x72
661
385
252
i
2.C2dip
4526
2339
1026
588
369
238
2
4 c2di_P
8158
4168
1760
955
553
315
3
14000
7099
2942
1537
843
427
5
ioc2di,p
27869
14000
5698
2924
10
20C2di,p
63608
31878
12852
6500
3747
1924
830
465
282
173
formula
47
TABLE 2
2
<y'y (0 3)
di.p
IOO
200
500
1000
2000
5000
metres
I V2
3
C2di,p\2
3l60
1647
740
436
279
194
1
2C2di_p
26x4
1373
629
381
257
183
2
^c2dip
1884
1009
483
308
221
168
3
6c2d!P
2322
1227
571
352
242
177
5
ioc2dj,P
3041
1592
717
425
279
10
20C2di.P
6700
3283
1447
717
461
3747
1924
830
465
282
172
formula
47