An earth satellite has the instantaneous position vector \(\vec{r}\) and velocity vector \(\vec{v}\) as given below. Here \(\hat{p}\) and \(\hat{q}\) denote the unit vectors along the \(x\) and \(y\) axes of the perifocal frame, respectively. Assume that the value of the gravitational parameter is 398600 \(\text{km}^3/\text{s}^2\). Which one of the following trajectories does the satellite follow?
\[ \vec{r} = (8000\hat{p} + 9000\hat{q}) \text{ km and } \vec{v} = (-6\hat{p} + 6\hat{q}) \text{ km/s} \]