Olsztyn, 24.03.2014r.
Sprawozdanie nr 2
Transformacja współrzędnych.
Ewelina Mroczkowska
GiG III, grupa 2
numer 18
I. Dane:
współrzędne w układzie WGS84
1
2
3
X
3524523,479
3592275,204
3648845,969
Y
1329693,746
1326519,615
1359140,201
Z
5129846,405
5083787,019
5034919,536
ρ”=206264,806”
∆x=-23,0
∆y=124,5
∆z=82,5
δω=1,8”=8,72665*10-6rad
δψ=2,0”=9,69627*10-6rad
δε=-2,5”=-1,21203*10-5rad
∆=0,0000038
II. Wzór:
XYZ42=∆x∆y∆z+1+∆δω-δψ-δω1+∆δεδψ-δε1+∆*XYZWGS84
III. Obliczenia:
X1Y1Z1= -23,0124,582,5+1,00000388,72665*10^-6-9,69627*10^-6-8,72665*10^-61,0000038-1,21203*10^-59,69627*10^-61,21203*10^-51,0000038*
*3524523,4791329693,7465129846,405=-23,0124,582,5+3524498,7361329605,8665129916,19=3524475,7361329730,3665129998,690
X2Y2Z2= -23,0124,582,5+1,00000388,72665*10^-6-9,69627*10^-6-8,72665*10^-61,0000038-1,21203*10^-59,69627*10^-61,21203*10^-51,0000038*
*3592275,2041326519,6155083787,019=-23,0124,582,5+3592251,1371326431,6905083857,247=3592228,1371326556,1905083939,747
X3Y3Z3= -23,0124,582,5+1,00000388,72665*10^-6-9,69627*10^-6-8,72665*10^-61,0000038-1,21203*10^-59,69627*10^-61,21203*10^-51,0000038*
*3648845,9691359140,2015034919,536=-23,0124,582,5+3648822,6021359052,4995034990,522=3648799,6021359176,9995035073,022
IV. Wyznaczenie parametrów transformacji
X=-(ATA)-1*ATL
V=[∆x+∆*X84] + [X84-X42]
V= AX + L
0
mroczka_92