Final answer:
Jupiter does have a magnetic field that traps high-energy particles, forming radiation belts similar to Earth's Van Allen belts; this is evidenced by synchrotron radiation and auroras on the planet.
Step-by-step explanation:
Jupiter's intense magnetic field indeed traps high-energy particles from the solar wind to form a radiation belt around the planet.
Like the Van Allen radiation belts of Earth, discovered by the American astrophysicist James Van Allen, other planets with strong magnetic fields, such as Jupiter, have similar belts. These belts contain trapped particles that create intense radiation fields. Jupiter's radiation belts are so vast that they emit radio waves detectable from Earth, leading to the discovery of the planet's strong magnetic field. The observation of synchrotron radiation from Jupiter, which occurs when high-speed electrons are accelerated in a magnetic field, also supports the presence of these belts. Moreover, such radiation belts are responsible for the auroras observed on Earth and other planets, including Jupiter and Saturn, created by ions recombining with electrons in the atmosphere.
The intense radiation fields generated by these trapped particles pose significant dangers to manned space missions and satellites, which is why such regions are avoided during space exploration.