Galileo's gravity-assist tour to Jupiter (1989)
NASA's Galileo spacecraft launched from the shuttle Atlantis on a path that needed three gravity assists to reach Jupiter. It swung past Venus once and Earth twice over six years, picking up enough speed each time to reach the outer solar system.
Galileo arrived at Jupiter in December 1995. It dropped a probe into Jupiter's atmosphere and orbited the planet for eight years.
Gravity assists became the default way for NASA to send heavy spacecraft to outer planets. Cassini, New Horizons, and Psyche all use the same trick.
Psyche's Mars flyby is the same maneuver Galileo pioneered. Without it, the spacecraft would need a much larger rocket or much more propellant.
