But Herod had designated Antipater as his heir. Antipater saw the two sons as a danger, so he made false charges, got Herod to execute them. Josephus said Herod's 34 years started with the death of Antigonus, which came after his capture of Jerusalem. We know that antedating reigns was common at the time. So when Antipater plotted to kill Herod, was detected, and executed Herod had to get Varus, governor of Syria, hear the case.
Coins confirm that antedating was common.
So 34 years after 35 BC yields 1 BC for death of Herod after eclipse of Jan. 10.