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I think Hector knows he could die so he wants to see his family.
Hector, shortly after rallying his fellow troops into a fearsome muster that manages to unnerve the opposing Achaens, then leaves to Ilius to make offerings to Athena in hopes that she will take notice and grant an alteration to the tide of battle and at least have mercy on the women and children of the city.
Works Cited: Homer, Samuel Butler. “The Iliad: By Homer, Translated by Samuel Butler.” Classics.mit.edu. Web. 2009.