Meaning
In this Sanskrit navagraha mantra, Shanaye is the dative of Shani, the slow moving planet Saturn and the deity who presides over it, and namah is the word of bowing. Jyotisha texts call Shani the stern examiner who returns to a person exactly what their actions have earned, so the salutation is an acknowledgement of that account rather than a plea to escape it.
शनि ग्रह को नमन।