A stealth missile is launched from space station, traveling in a straight line with fixed speed $V_s$. Being stealth the missile itself and its traveling direction is undetectable, but you know the position of the space station. At the same time the stealth missile is launched, you launch your own missile from another space station some distance $s$ away with maximum speed $V_m>V_s$.
Is there a way to design the trajectory of your missile so that it is guaranteed to intercept the stealth missile in finite time? If this can't be done, is a trajectory that gets arbitrarily close to the target in sufficient time possible?
Note: In two dimensions interception can be guaranteed by setting your missile to travel in some suitable logarithm spiral.