Death of Tzadik Atones for Jewish People

Torah Temima (Vayikra 16:1.1): The Yerushalmi states that just as Yom Kippur atones for the Jewish people so does the death of tzadikim. This gemora does not explain the significance or the reason why the death of tzadikim atones for the Jewish people. It appears that an answer can be found in Pirkei DeRabbi Eliezer (Chapter 17) concerning the death of Shaul. In Shmuel it mentioned that the bones of Shaul were buried. This indicates that when G d saw how they cried and mourned for Shaul that this aroused the attribute of Mercy. We see then that it is not the death per se of the tzadik that brings about atonement but rather the honor and mourning for the tzadik, because the honor of the tzadik is in fact the honor of G d.

Moed Koton (28a) Wherefore is the account of Miriam's death placed next to the laws of the red heifer? To inform you that even as the red heifer afforded atonement by the ritual use of its ashes, so does the death of tie righteous afford atonement for the living they have left behind.

Moed Koton (28a) Wherefore is the account of Aaron's death closely followed by the account of the disposal of the priestly vestments? To inform you that just as the priest's vestments were means to effect atonement so is the death of the righteousconducive to procuring atonement.