Savitar is not alone the sun that rises; he is also the sun that sets; and is extolled as such.
There are other indications that most of the hymns composed for him are to accompany the sacrifice, either of the morning or of the evening.

In II.

38, an evening song to Savitar, there are inner signs that the hymn was made for rubrication, but here some fine verses occur: "The god extends his vast hand, his arms above there--and all here obeys him; to his command the waters move, and even the winds' blowing ceases on all sides." Again: "Neither Indra, Varuna, Mitra, Aryaman, Rudra, nor the demons, impair his law" We call attention here to the fact that the Rig Veda contains a strong( stong in the original) current of demonology, much stronger than has been pointed out by scholars intent on proving the primitive loftiness of the Vedic religion.
In III.62.

7-9 there are some verses to P[=u]shan, following which is the most holy couplet of the Rig Veda, to repeat which is essentially to repeat the Veda.

It is the famous G[=a]yatr[=i] or S[=a]vitr[=i] hymnlet (10-12): Of Savitar, the heavenly, that longed-for glory may we win, And may himself inspire our prayers.[21] Whitney (loc.