Both of these groups are situated at Lagrangian points which are gravitational balanced points in a three-body system. The Greek asteroids are located at L4 in the Sun-Jupiter system and the Trojan asteroids are at L5.
From our post about Lagrangian points, we know that the Greeks are at 60° ahead of Jupiter in its orbit and the Trojans are 60° behind. Where did these asteroids come from?
The leading theory is that these asteroids are remnants of the formation of the Solar System and in as they moved in space, the asteroids got caught in the L4 or L5 Lagrangian points, which we learned is stable. Once they got to those points, they were there permanently.
One last thing about Trojan and Greek asteroids is that all the ones that have been discovered are named after Greek or Trojan heroes from the Trojan war.
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