Asteroid 1404, Ajax,a Jupiter Trojan, was discovered on August 17, 1936 by Karl Reinmuth at Heidelberg, Baden-Württemberg, Germany. It has a period of 12 years, 77 days and is about 61 miles in diameter.
It was named for the Greek warrior Ajax the Greater (or Telamonian Ajax, called this to distinguish him from another Ajax, Ajax the Lesser, son of Oileus). The strongest of the Greek warriors at Troy, Ajax lost a contest with Odysseus held to see who got awarded the dead Achilles' armor, and, driven temporarily insane by Athene, slaughtered a flock of sheep thinking they were his rivals; when he came to his senses, he killed himself out of shame, and refused to speak to Odysseus when the latter later paid a visit to the real of the dead.
The Death of Ajax ,an 1820 painting by French artist Henri Serrur
Astrologically, Ajax seems to indicate generating resentment, dashed expectations, the ability to deal with disappointment, hubris. .
Conan O'Brien has Ajax conjunct Hidalgo, sextile Bienor, square Venus, and semisextile/quincunx the Nodes. He briefly replaced Jay Leno on NBC's "The Tonight Show" when the latter attempted a prime-time talk show, and left NBC altogether after Leno reclaimed his position amid anemic ratings for both shows and public resentment, losing the rights to many of his signature jokes, which NBC owned.
Jay Leno has Ajax in the fourth house, on the IC, conjunct Bienor, semisquare Uranus and trine Juno.
Hillary Clinton, who has had to settle for less than she wanted repeatedly with regard to her ambitions and desires to get things done and has been the object of intense and prolonged sexist attack, has Ajax sextile Eris.
John H. Sununu, presidential chief of staff under Ronald Reagan and Republican Party chair in New Hampshire, has Ajax sextile Vesta (commitment) and square Bienor (receiving or not receiving support). His exit from Washington in the 1980s was attributed in part to his abrasive personal style.
Eliot Spitzer, who quickly resigned as governor of New York after being caught soliciting prostitutes (he was married and held others to high standards of ethics), has Ajax square Jupiter (the law), trine Ixion, and sesquiquadrate/semisquare the Nodes. He has since re-established himself as a political pundit.
Deborah Norville, whose dream job turned into a nightmare due to popular resentment when she replaced the popular Jane Pauley as NBC news anchor and who was eventually forced out, has Ajax square Lilith, trine Mars and quincunx Uranus and Pelion (earning one's keep).
Arnold Schwarzenegger has Ajax in the eighth house, trine Ixion, sesquiquadrate Vesta and Rhadamanthus, and opposite Saturn and Pluto. In 2003, the voters of California turned against Governor Gray Davis, who was effective if unglamorous and sometimes tactless, and recalled him in a Republican-engineered referendum following an energy crisis engineered by out-of-state energy companies with ties to the George W. Bush White House. Schwarzenegger, whose career as a movie star specializing in action-adventure and science-fiction films was fading, replaced Davis. He then found himself forced toward the political center, costing him political support among his fellow Republicans, and after insulting Democrats and their political allies and attempting to steamroller them by submitting items on his agenda as referenda that all failed at the ballot box, found himself entangled in partisan battles and nowhere near as effective as Davis had been.
The glyph for Ajax is mine.