Exercise $1$: Compute the GPS Cartesian Coordinates $($XYZ$)$ of a station P given its latitude at $412520,$

longitude at $740135$ W and geodetic height of $301\mathrm{.}9$ m$.$ Use the reference ellipsoid WGS$84$ with semi$-$

major axis of aE $=6,378,137\mathrm{.}00$ m$,$ and eccentricity squared e$2=0\mathrm{.}0066943799$

Solution

N $($Radius of Curvature in PV$)=$

Station X Y Z Comments

P

Exercise $2$: Given the geographic location of the GPS station A as $($latitude$=3545\text{'}30"$; longitude

$=750\text{'}58"$W$)$ and ellipsoid height $($h$)$ at $312\mathrm{.}391$ m$.$ The dimension of the reference ellipsoid

has size $($radius or semi$-$major axis$)$ aE $=6378137$ and eccentricity e$2=0\mathrm{.}0066943799.$

a$)$ Compute the radius of curvature for station location

b$)$ Compute the geodetic Cartesian coordinates for the station A

X$=$

Y$=$

Z $=$

c$)$ Compute the baseline length between station A and another station P$($X$,$Y$,$ Z$)$

X $=1,241,581\mathrm{.}343$

Y$=-4,638,917\mathrm{.}074$

Z $=4,183,965\mathrm{.}569$

Distance AP $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$