E 0.980525=Ebz
⋅a2b2
−
()
−
ar⋅
:=
z 4487560.5408=zZ:=
r 4517803.010902=rX
cos λ
()
:=
Designating x' by r and z' by z
dms λr2d⋅
()
84.00000000−=λ atan2 X Y,():=
Solution:
_______________________________________________________________________________
Z 4487560.5408:=Y 4493054.0133−:=X 472239.0061:=
Given Quantities:
_______________________________________________________________________________
f 0.00335281068118:=ep20.00673949677548:=
e20.00669438002290:=b 6356752.3141:=a 6378137:=
Constants for GRS 80: a and b are the semi-major and
semi-minor axes of the ellipsoid
respectively, e2 and ep2 are the
first and second eccentricities
squared respectively, f is the
flattening
_______________________________________________________________________________
r2d 180
π
:=
dms ang( ) degree floor ang()←
rem ang degree−()60⋅←
mins floor rem()←
rem1 rem mins−()←
secs rem1 60.0⋅←
degree mins
100
+secs
10000
+
:=
radians ang( ) d dd ang()←
dπ
180.0
⋅
:=dd ang( ) degree floor ang()←
mins ang degree−( ) 100.0⋅←
minutes floor mins()←
seconds mins minutes−( ) 100.0⋅←
degree minutes
60.0
+seconds
3600.0
+
:=
Some useful angle functions
_______________________________________________________________________________
Transformation Between Cartesian to Geodetic Coordinates -
Borkowski Method
