In the vacuum of space, an untethered astronaut does not drift into an endless void. The body and suit fall around the planet along a specific orbital path. Every motion, from a hand wave to a boot twist, changes that path in ways physics can calculate.
The key is orbital mechanics, a system ruled by gravity, angular momentum and conservation of energy. During a spacewalk, the astronaut and the spacecraft share similar orbits. A tiny push from a gloved hand increases or decreases orbital velocity, shifting the orbit higher or lower. Instead of a straight line away, the astronaut begins to trace a slow spiral relative to the vehicle, even though both remain in free fall.
Because of Keplerian motion and the balance between kinetic energy and gravitational potential energy, a push that seems to send the astronaut “up” can later cause them to drift “down” behind the station, or slide ahead along the track. The result is a path that looks chaotic but is almost cruelly predictable on a mission planner’s screen: a looping, measurable trajectory, not a romantic escape into darkness.