$(12$ points$)$ For the same first vehicle, construct initial conditions for the second vehicle $($in that same body$-$centered system$)$ such that the second vehicle remains in the orbit plane of the first, and oscillates around the first in such a way that its maximum distance ahead of the first is $200$ m $,$ and its maximum distance behind is $100$ m $($behind by $100$ m $).($Of course, it may need to oscillate vertically as well as horizontally.$)$ Using matlab, plot the $x$ component of the trajectory of the second vehicle relative to the first in the body$-$centered system as a function of time, over at time period corresponding to one period of the first$-$vehicle orbit. Do the same for the $y$ component. Lastly, plot the $y$ component versus the $x$ component over that time period.