Sounds spooky, but when I try to imagine it my mind throws an exception: In any non-imaginary scenairo you wont have enough energy and reaction mass to match speed with the object. in these scenarios “ordered to investigate” means that you will do some neat observations as you and the object drifts by. And if you have somehow enough energy to match the planet’s speed then you are basically a god and you don’t really have much which can spook you.

While the story of squishy human meatsacks traveling in a tin-can braving the surface of one of these would be a compelling read it is not really realistic sadly.