During special days of worship, the leader of the people arrives at the Temple to present his offerings and bow before God. His visit highlights a careful balance between his elevated leadership status and the strict boundaries of the sacred space.
He makes his way from the outer courtyard, passing through the hall of the inner eastern gate [רש״י, מלבי״ם]. Out of respect for his high position, the gate is opened for him before he even reaches the hall [מצודת דוד]. Rather than stepping directly into the inner courtyard, he takes his place by the doorpost within the gate structure, facing the altar [ביאור שטיינזלץ, מלבי ם לביאור המילות]. Some identify this specific location as a small wicket gate [רש״י], with certain views pointing specifically to the southern wicket [מצודת דוד].
From this vantage point, he watches as the priests prepare his burnt offerings and peace offerings. His physical presence is essential, as it is improper for a person's sacrifice to be offered without them standing by to oversee it [רש״י]. There are different perspectives regarding the exact nature of these sacrifices. They may be the required festival offerings [רש״י], while other interpretations suggest they are voluntary offerings for the New Moon or sacrifices related to the days of dedication [מצודת דוד, מלבי״ם].
Once the sacrifices are complete, the leader bows at the threshold of the gate [מצודת ציון]. He directs his bow toward the sanctuary, facing the entrance of the main Temple hall [רד״ק, ביאור שטיינזלץ], and then departs.
Although the leader has finished his duties and left, the eastern gate remains wide open until evening to serve the rest of the nation. Because the people do not arrive all at once, but rather come individually or in small groups throughout the Sabbath and New Moon to appear before God, the gate stays open. Since it aligns perfectly with the entrance to the Temple hall, keeping it open allows all who arrive throughout the day to bow before Him at its entrance [רד״ק, מלבי״ם, צאינה וראינה].