Introduction.

In a Great Age, the circle of stars moves forward to the east six hundred times.
Multiply the desired days by this number and divide by the total terrestrial days in an Age.
Take the sine of the result, multiply by three, and divide by ten; this is known as the Ayanamsha The value representing the displacement of the equinoxes from a fixed starting point in the zodiac.

In one Great Age Mahayuga, the stellar cycle advances eastward 600 (30 $\times$ 20) times. By multiplying the desired days (Ahargana The total count of elapsed days from a fixed epoch) or years by 600 and dividing by the terrestrial days or years of the Age, take the "arm" the sine-equivalent in Indian trigonometry of the result, multiply by three, and divide by ten to obtain the Ayanamsha. Both the writing and the meaning of this verse are extremely complex. The fundamental point is: why should so much effort be spent in explaining a simple matter? This method is not desirable in mathematics. We shall write later regarding the different meaning that Bhaskaracharya A famous 12th-century Indian mathematician and astronomer understood from this.

In another text of astronomy, the meaning of the final line of the verse describing the Ayanamsha has also become complicated. For example:—

In an Age, the stellar cycle moves forward six hundred times.
Multiply the days by that and divide by the terrestrial days; the result is the motion of the equinox.

Here, if the word "Dyugana" is not interpreted as Ahargana, it cannot be reconciled with the previous verse in any way. Mr. Davis likely referring to Samuel Davis, an 18th-century British orientalist and mathematician also did not interpret this verse correctly. He wrote:—

—Multiply Ahargan (Number of mean solar days for which calculation is made) by 600 and divide the product by savan days in a yug, of quotient take sine and multiply 3 & divide by 10 to get ayanansha. original: "Multiply Ahargan ( Number Of mean solar qays for whieh calculaton is made ) by 600 and divide the product by savan days in a yug, of quotient take sine and multiPfy 3 & divide by 10 to get ayanansha."

Whatever the case may be, it is understood from the first verse that according to the opinion of the Surya Siddhanta The "Sun Treatise," a foundational text of Indian astronomy, the annual motion of the equinox is 54 seconds Vikala.

The opinion of Parashara is that in one Kalpa an immense cosmic cycle, the stellar cycle moves 581,709 times; according to Aryabhata, it moves 578,159 times. Therefore, according to these two opinions respectively, the equinox advances eastward by 52'—3'' and 52'—1'' seconds every year. The Parashari Samhita is the very foundation of Aryabhata's system; this is inferred from the excerpts of his book. The author of the Parashari is the first proponent of the shifting state of the equinoxes. According to him, the equinoctial cycle oscillates between two points 27 degrees east and west of the sign of Aries Mesha Rashi. Aryabhata compared his own celestial observations with those written in the Parashari and applied his intellect to other matters as well. In the book Aryashtashatika, he [describes] the equinox...