$(15$pts$)$ The space station $($target$)$ and spacecraft $1$ and $2($two interceptors$)$ are all in the same circularEarth orbit of $350$ km altitude. Interceptor $1$ is $600$ km behind the space station and interceptor $2$ is$600$ km ahead of the space station. At the same instant, both spacecraft apply a delta$-$v so as to arriveat the space station in one revolution of their phasing orbits.a$)$ Calculate the time required for each spacecraft to reach the space station.b$)$ Calculate the total delta$-$v required for each spacecraft to accomplish this maneuver.$[$ Ans. Interceptor $1$: Tphase $=90\mathrm{.}2$ min; interceptor $2$: Tphase $=92\mathrm{.}8$ min; b$)$ interceptor $1$:vphase $=73\mathrm{.}9$ m$/$s; interceptor $2$: vphase $=71\mathrm{.}8$ m$/$s $]$