nd
31
2.5 Formulas for the computation of the standard error of unit weight of
y-parallax measurements from observations in fifteen and nine regu-
larly located points. Moderate elevation differences (in principle flat
ground).
The square sum [vv] 15 of the residuals in all fifteen points (see fig. 3 in
the report) after an adjustment of the relative orientation according to
the method of the least squares is
S 4 22 1 2
[vv] i5 7 T2(-2P45* 2Pg5*P,,- P91* P1g- Pgg) + 5 leu: Poy- 2P51) +
2 2 2
* (P15* Pos- 2P55) * (P19* Pgo- 2P59) + (P15* P93- 2p54)^ *
2] 79 4
* (P17* Po7- 2P5;) | + 2106-P11t 4P13- ÉP15t 4P17- P19- P51 +
| 2
* 4P53- 6P55* 4P57- P59- Pg1* 4Pg3- 6Pg5t 4Pgq- Pog)” +
]
+ 50(2P,1- 3P13+ 2P15- 3P17+ 2P19- ZPO1* 3P93- 2Pas*
=
1
+ 3Pg7- 2P99) + 3p(P,1- 2P13+ 2P17- Pjot Psi- 2Ps3t 2P57-
2-44
" P5g* P917 2Pg3t 2Pgq- Pog) * zg (P,1- 2P15* 2P17- Pj9- Po1t
t2 2 + j^
B9g3-^P97*-Pgg
The standard error of unit weight is then found from the expression
[vvlis
8015. "771077
The standard error of the standard error of unit weight is about 0.22 5015"
The confidence limits are
for the confidence level 5 per cent: 0.7 $9015 1,8 $015
n " n H 1 per cent: 0.6 5015 - 2.2 5015
The square sum [vv] of the residuals in nine orientation points can be
9
found from the four first terms of the expression above for [vv] 15°