al-Zuhri ابن شهاب الزهري‎, محمد بن مسلم · The Book of Eclipses

"While I was (practicing) shooting some arrows in Al-Madinah, the sun became eclipsed. I gathered up my arrows and said: 'I want to see what the Messenger of Allah (ﷺ) will say about the eclipse of the sun.' So I came to him from behind when he was in the masjid, and he started to say the tasbih and takbir and to supplicate until the eclipse was over. Then he stood up and prayed two rak'ahs with four prostrations."

The Messenger of Allah (ﷺ) said: "The sun and moon do not become eclipsed for death or birth of anyone, rather they are two of the signs of Allah (SWT) the Most High, so when you see that then pray."

"We were sitting with the Prophet (ﷺ) when the sun became eclipsed. He leapt up, dragging his garment and prayed two rak'ahs until the eclipse was over."

The Messenger of Allah (ﷺ) prayed when the sun was eclipsed, bowing eight times and prostrating four times.

The Prophet (ﷺ) prayed when there was an eclipse. He recited then he bowed, then he recited then he bowed, then he recited then he bowed, then he recited then he bowed, then he prostrated, and he did the second rak'ahs in same fashion.

The Messenger of Allah (ﷺ) prayed when there was an eclipse of the sun like our prayer, bowing and prostrating.

The Messenger of Allah (ﷺ) prayed two rak'ahs like this prayer of yours, and he mentioned the eclipse of the sun.