Commentary for Ezekiel 46:10

The prince When he enters the Temple Court through the southern wicket of the Heichal to prostrate himself, he too must make the Temple Court a short-cut. He shall enter by way of the northern gate and leave by way of the southern gate with the rest of the people of the land. This is the meaning of “enters in their midst when they go in, and when they go out, they go out”all of them, the prince with the rest of the people. And he shall not enter by way of the eastern gate as he regularly does on the New Moon and on the Sabbath of Creation, for the eastern gate has no gate opposite it in the west.