Examples and used formulae, Sets of angles examples and used formulae, Mr √ s – Leica Geosystems TPS1100 Professional Series - Reference Manual User Manual
Page 114
114
TPS1100 - Appl. Prog. Ref. Manual 2.2.0en
Sets of Angles
Examples and used formulae
A typical example of a Hz -
measurement is shown in the
following list:
The example shows a survey with 3
sets and 4 targets with directions
in ° ' ".
The calculations are carried out
according to the following table.
PtNr
Face I
Face II
Average
face I+II (a)
Reduced
average of
set (b)
Average
(d)
r= d - b
v= r+q
v²
1
0°00'20"
180°00'17"
0°00'19"
0°00'00"
0°00'00"
0
+1
1
2
24°43'34"
204°43'31"
24°43'33"
24°43'14"
24°43'10"
-4
-3
9
3
84°47'15"
264°47'11"
84°47'13"
84°46'54"
84°46'53"
-1
0
0
4
306°41'52"
126°41'42"
306°41'47"
306°41'28" 306°41'28"
0
+1
1
q= -(
∑
r)/N
q =
-(5")/4
+1
∑
v=-1
1
45°00'13"
225°00'16"
45°00'15"
0°00'00"
0
0
0
2
69°43'24"
249°43'23"
69°43'24"
24°43'09"
+1
+1
1
3
129°47'06"
249°47'08" 129°47'07"-
9"
84°46'52"
+1
+1
1
4
351°41'45"
171°41'44"
351°41'45"
306°41'30"
-2
-2
4
q= -(
∑
r)/N
q =
-(0)/4
0
∑
v=0
1
90°00'19"
270°00'19"
90°00'19"
0°00'00"
0
-1
1
2
114°43'28"
294°43'26"
114°43'27"
24°43'08"
+2
+1
1
3
174°47'10"
354°47'15"
174°47'13"
84°46'54"
-1
-2
4
4
36°41'47"
216°41'45"
36°41'46"
306°41'27"
+1
0
0
q= -(
∑
r)/N
q =
-(2)/4
-1
∑
v=-2
∑
v² =
23
Σ
v²
23"
mR=
(N-1) (s-1) = (4-1) (3-1) = ±2’’
mR
√
s
mM=
=
2’’
√
3
= ±1’’