Tossing on a Rotating Space Station

摘要

The following analysis was inspired by a question posed by a listener of a radio science show.[ The listener asked the question: "If an astronaut in a space station that was rotating to simulate gravity threw a ball up, where would the ball go?" The physicist answered, "The ball would travel straight across the space station (assuming an open structure)." The main point is that to an outside observer the ball would not "fall" back down as on Earth. As I pondered this it occurred to me that while the answer is correct, it is a special case with a more general solution. Below is an analysis of the motions a thrown object can undergo on a rotating space station. The first part of the discussion is aimed at lower-level undergraduates who have a basic understanding of vectors and circular motion, and the motion is described from the point of view of an external reference frame. Further analysis of the motion by an observer on the space station is approprate for upper-level students.