Editing 588 Achilles (section)

== Orbit and classification ==
Achilles orbits the Sun at a distance of 4.4–6.0&nbsp;[[Astronomical unit|AU]] in the {{L4}} [[Lagrangian point]] of the [[Sun]]–[[Jupiter]] System once every 11 years and 11 months (4,343 days; [[semi-major axis]] of 5.21&nbsp;AU). Its orbit shows an [[orbital eccentricity|eccentricity]] of 0.15 and an [[orbital inclination|inclination]] of 10 degrees from the plane of the [[ecliptic]].<ref name="jpldata" />

Achilles is the first known example of the stable solution of the [[three-body problem]] worked out by French mathematician [[Joseph Lagrange]] in 1772, after whom the minor planet [[1006&nbsp;Lagrangea]] is named. After the discovery of other asteroids with similar orbital characteristics, which were also named after heroes from the Trojan War ''(see below)'', the term "Trojan asteroids" or "Jupiter trojans" became commonly used.<ref name="springer" /> In addition, a rule was established that the {{L4}} point was the "[[Greek camp]]", whereas the {{L5}} point was the "[[Trojan camp]]", though not before each camp had acquired a "spy" (Hektor in the Greek camp and Patroclus in the Trojan camp).