Some rocks fly near Jupiter. 

Many rocks fly near Jupiter. 

Many asteroids share the same path around the Sun as Jupiter. These are called Jupiter trojans. 

Max Wolf found the first one in 1906. It was named 588 Achilles. 
We name these rocks after heroes from the Trojan War. This is a long tradition. But there are so many trojans now! More than 15,300 have been found. Because of this, we now use names of Olympic athletes too. Some trojans are named after famous runners or swimmers. This helps us give a name to every rock we find.
Jupiter trojans are a large group of asteroids that share the same orbit as Jupiter. These space rocks travel around the Sun along the same path as the giant planet. They are very important for helping us understand how our Solar System formed. Scientists think these asteroids were captured during the early stages of the Solar System. They might have been pulled into place when the giant planets moved around. 
These asteroids stay in two stable spots called Lagrange points. These points are located 60 degrees ahead of Jupiter and 60 degrees behind it. A mathematician named Joseph-Louis Lagrange predicted these spots in 1772. He studied how a small body moves near a large planet. The asteroids do not stay perfectly still at these points. Instead, they librate, which means they move slowly around the spot in a special path. This path can look like a tadpole or a horseshoe shape. 

Humans have been finding these asteroids for a long time. The first accepted discovery was in February 1906. An astronomer named Max Wolf found the first one at his observatory. He named the asteroid 588 Achilles. Later, August Kopff found two more asteroids in 1906 and 1907. These were named 624 Hektor and 617 Patroclus. 

There are many interesting facts about these space rocks. More than 15,300 Jupiter trojans have been found so far. Many of them look dark and reddish to our instruments. Scientists think they might be coated in tholins. These are organic materials made by radiation from the Sun. The density of these rocks can range from 0.8 to 2.5 g/cm³. There are likely about 10,000 asteroids larger than 1 km in this group. This is about the same number as the main asteroid belt.
We use special names for these asteroids to help tell them apart. Most are named after heroes from the Trojan War. The group ahead of Jupiter is called the Greek camp. The group behind Jupiter is called the Trojan camp. Because we have found so many, we have run out of ancient names. In 2018, the International Astronomical Union changed the rules. Now, smaller asteroids can be named after Olympic athletes. Some asteroids even carry the names of famous swimmers or runners. 
Jupiter trojans are a massive group of asteroids that share an orbit with the planet Jupiter. Instead of orbiting the Sun independently, these objects stay in a specific relationship with the giant planet. They travel along the same path as Jupiter, but they do not collide with it. This unique arrangement makes them a vital subject for studying the history of our Solar System. Scientists believe these asteroids were captured during the early stages of planetary formation. They may have been pulled into these positions as the giant planets migrated through space. 
These asteroids are held in place by gravitational forces at specific locations called Lagrange points. In 1772, the mathematician Joseph-Louis Lagrange predicted these points while studying the restricted three-body problem. These are stable spots where the gravity of the Sun and Jupiter balance out. For Jupiter, these points are located 60 degrees ahead of the planet and 60 degrees behind it in its orbit. The asteroids do not sit perfectly still at these spots. Instead, they librate, which means they move in a slow, oscillating motion. This movement often follows a path shaped like a tadpole or a horseshoe. 

The trojans are divided into two distinct groups based on their position. The group located 60 degrees ahead of Jupiter is known as the Greek camp or the Achilles group. The group located 60 degrees behind Jupiter is called the Trojan camp. These two populations are distributed in elongated, curved regions around their respective Lagrangian points. The average semi-major axis for these objects is approximately 5.2 AU. Because they are separated by the planet, they form two different swarms of space rocks. 
Human discovery of these objects began more than a century after Lagrange's mathematical prediction. In 1904, E. E. Barnard observed an object named 12126 Chersidamas. However, he did not realize it was a trojan at the time. He thought it might be the Saturnian moon Phoebe. The first officially accepted discovery occurred in February 1906. German astronomer Max Wolf identified the asteroid 588 Achilles at the Sun-Jupiter Lagrangian point. 
Today, we know that the Jupiter trojan population is immense. More than 15,300 trojans have been identified so far. It is estimated that there are about 10,000 asteroids larger than 1 km in diameter in this group. This is roughly equal to the number of large asteroids found in the main asteroid belt. The density of these bodies varies between 0.8 and 2.5 g·cm⁻³. Many of these asteroids appear as dark, reddish bodies to our instruments. Scientists think they are coated in tholins, which are organic polymers created by solar radiation.
Naming these asteroids follows a long-standing tradition rooted in Greek mythology. Johann Palisa suggested naming them after heroes from the Trojan War. Following this rule, asteroids in the Greek camp are named after Greek heroes. Those in the Trojan camp are named after the heroes of Troy. This system created some oddities, such as Patroclus being in the Trojan camp and Hektor being in the Greek camp. Because we have discovered so many asteroids, astronomers eventually ran out of mythological names. In 2018, the International Astronomical Union changed the rules for smaller asteroids. Now, asteroids with a diameter smaller than 22 kilometers can be named after Olympic athletes.
The study of Jupiter trojans connects to many larger concepts in astronomy. While "Trojan asteroid" usually refers to those near Jupiter, the term is used more broadly. Other planets, such as Mars, Earth, Neptune, and Uranus, also have their own trojans. Some even have temporary trojans, like Venus and Saturn. By studying these captured rocks, scientists can learn about the migration of the giant planets. This helps us piece together how the entire Solar System reached its current state.
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