Congratulations to steve, Eric Karros, and fanerman for taking win, place, and show positions respectively; loney fan and jose also stuck the landing.
Torre is using the common mnemonic used to order the nine planets in the Solar System (revised in August 2006 to exclude Pluto, but I didn't want to get into a long discussion about dwarf planets, especially with the non-dwarf-in-both-dimensions Andruw Jones in the lineup). The initials of the players' last names match the order of the names of the nine planets, ranked by distance from the sun.
As such, since we know the slots for Maza (1), Van Slyke (2) [given in the final hint], Ethier (3), Martin (4), and Jones (5), the total lineup would slot as follows:
Van Slyke (Venus)
There is no one in the Dodgers' organization with a last name starting with "U" to correspond with Uranus, so Kemp must be traded to the Marlins for Dan Uggla, who bats seventh. And believe me, though we could Uggla's home runs (though not his ASG errors!), it would be just like Torre to slot Uggla seventh anyway despite his proficiency at the plate.