Problem $5\mathrm{.}12$ A sea$-$level tracking station at whose local sidereal time is $40\backslash$deg and latitude is $35\backslash$deg makes

the following observations of a space object:

Azimuth: $36\mathrm{.}0\backslash$deg

Azimuth rate: $0\mathrm{.}590\backslash$deg

Elevation: $36\mathrm{.}6$ deg

Elevation rate: $0\mathrm{.}263$ deg$/$s

Range: $988$ km

Range rate: $4\mathrm{.}86$ km$/$s

What is the state vector of the object?

As much as you can BY HAND please NO MATLAB