
Asteroid 136557, Neleus, a Jupiter Trojan, was discovered on September 25, 1973 by C. J. van Houten and Ingrid van Houten-Groeneveld on photographic plates taken by Tom Gehrels at Palomar Observatory near Pauma Valley, California. It has a period of 11 years, 305 days.
It was named for Neleus, who was the son of Poseidon and Tyro, brother of Pelias. Tyro was married to Cretheus (with whom she had one son, Aeson) but loved Enipeus, a river god. She pursued Enipeus, who refused her advances. One day, Poseidon, filled with lust for Tyro, disguised himself as Enipeus and from their union was born Pelias and Neleus, twin boys. Tyro exposed her sons on a mountain and they were raised by a maid. When they reached adulthood, Pelias and Neleus found Tyro and killed her stepmother, Sidero, for having mistreated her. Sidero hid in a temple to Hera but Pelias killed her anyway, causing Hera's undying hatred of Pelias. Neleus and Pelias fought for the crown, and Neleus lost the struggle and was banished to Messenia, in the western Peloponnesus section of Greece, becoming King of Pylos. Heracles later asked Neleus to cleanse him of a blood-debt and was refused. Heracles killed Neleus and his sons Pero and Alastor.
Neleus (or a statue of him, at least) appeared in Mary Poppins Opens the Door, one of the Mary Poppins books by Australian-born British author Pamela L. Travers. When Mary Poppins took the Banks children (Jane, Michael and Annabel) to the park, a statue of Neleus there came to life briefly; he wanted to read, and he made Jane Banks promise to read him books every day.

The statue of Neleus from a Mary Poppins play.
Astrologically, asteroid Neleus seems to indicate collateral damage, paying for things you didn't do, losing out in a struggle, exiled or left out, silver linings, obligations to be taken seriously (no matter how inconvenient or unusual)