Physics
The Geometry of the Hyperbola in Physics
Quick fact
When a spacecraft performs a gravitational slingshot around a planet, its trajectory relative to the planet is a hyperbola—not an ellipse. This shape allows it to gain speed and change direction without using fuel.
Why this is interesting
You've seen orbits that are circles and ellipses, but did you know that a comet can swing past the Sun and never return, tracing a path that is a perfect hyperbola? What does that shape tell us about the forces at play?