Asteroid 3451, Mentor, a Jupiter Trojan, was discovered on April 19, 1984 by Antonin Mrkos at Klet Observatory near Český Krumlov, South Bohemia, Czech Republic. It has a period of 11 years, 191 days.
It was named for one of several characters in The Iliad named Mentor, in this case the father of a Trojan warrior named Imbrius who was killed in Book 13:"Teucer son of Telamon was the first to kill his man, to wit, the warrior Imbrius son of Mentor rich in horses."
Much better known is Mentor of Ithaca, a friend of Odysseus who helped him and his son Telemachus. Odysseus had placed him in charge of his palace and had him take care of his son, and Athena disguised herself as Mentor when offering guidance and encouragement to Telemachus (from which comes the English word "to mentor.") Athena, as Mentor, helped Odysseus and Telemachus stand up to the insolent suitors of Penelope and clear them out of Odysseus' palace; that the Ithacans had not objected to the suitors' behavior earned them the real Mentor's contempt.
Astrologically, asteroid Mentor seems to relate to mentoring or guiding, as some have pointed out; other possible meanings are facilitating justice or revenge, social criticism, "be part of the solution rather than part of the problem," "all that is necessary for evil to triumph is for the good to do nothing."