Catching an Interstellar Wanderer with a Solar Sling
Spinning a sling, we whirl a stone. Its speed builds, and if released at the lowest point, it flies farthest. In space, the gravity of the Sun acts as the strap: the probe dives as close to the star as possible, and at the moment of maximum speed, a brief engine thrust, like a yank of the hand, gives it a huge boost.