Some sources say Pallas was Triton's daughter and Athena's playmate who was killed and Athena mourned her by changing her name to Pallas and making a wooden statue of her, which Zeus dropped to the Land of Troy where a temple was built in its honor.
Other astrologers interpret it as an indicator of wisdom, intelligence, healing (perhaps through effort) as the titan named Pallas was a god of these things.
This asteroid was the 3rd to be discovered and is 9th in mass ranking (1 Ceres, 2 Pallas, 4 Vesta, 10 Hygiea, 511 Davida, 704 Interamnia, 65 Cybele, 52 Europa are considerably bigger and more massive).
She was the goddess of marriages, unions, and was also associated with finance and found cows and peacocks to be sacred.
Because of Juno's association with relationships, money, cows and jealousy, it also appears to have an influence of the sign Taurus.
In mythology Vesta the virgin goddess, the Roman version of Hestia, though she was of higher importance to the Romans, was regarded as one of the most important goddesses of all, though ironically she never was depicted in any visual art (in Greece, some vases with her image however have been found), or at least none of it has ever been found.
In every city and home in Rome there was a sacred fire made to Vesta that was protected and not allowed to go out.
It seems that Hygiea rules the health practices and is integrated into medical astrology, but in her negative side has something to bring in cases of depression and anxiety of a higher level than usual.