The winter solstice in 3°29' of Purva Bhâdrapadâ.
The vernal equinox in the beginning of Mrigashîrsha.
The summer solstice in 10 of Purva Phâlgunî.
The autumnal equinox in the middle of Jyeshtha.
The vernal equinoctial point, we have seen, coincided with the beginning of Krittikâ in 1421 b.c.; and from the beginning of Krittikâ to that of Mrigashîrsha, was, in consequence, 1421 + 26-2/3 x 72 = 1421 + 1920 = 3341 b.c., supposing the rate of precession to be 50° a year. When we take the rate to be 3°20" in 247 years, the time comes up to 1516 + 1960·7 = 3476·7 b.c.
When the winter solstice by its retrograde motion coincided after that with the beginning of Pûrva Bhâdrapadâ, then the commencement of the quinquennial age was changed from the 15th to the 1st of Phâlguna (February-March). This change took place 240 years after the date of the above observation, that is, in 3101 b.c.This date is most important, as from it an era was reckoned in after times. The commencement of the Kali or Kali Yuga (derived from “kal,” “to reckon”), though said by European scholars to be an imaginary date, becomes thus an astronomical fact.
Interchange of Krittikâ and Ashvinî.[646]
We thus see that the asterisms, twenty-seven in number, were counted from the Mrigashîrsha when the vernal equinox was in its beginning, and that the practice of thus counting was adhered to till the vernal equinox retrograded to the beginning of Krittikâ, when it became the first of the asterisms. For then the winter solstice had changed, receding from Phâlguna (February-March) to Mâgha (January-February), one complete lunar month. And, in like manner, the place of Krittikâ [pg 355]was occupied by Ashvinî, that is, the latter became the first of the asterisms, heading all others, when its beginning coincided with the vernal equinoctial point, or, in other words, when the winter solstice was in Pansha (December-February). Now from the beginning of Krittikâ to that of Ashvinî there are two asterisms, or 26-2/3°, and the time the equinox takes to retrograde this distance at the rate of 1 in 72 years is 1920 years; and hence the date at which the vernal equinox coincided with the commencement of Ashvinî or with the end of Revatî is 1920 - 1421 = 499 a.d.
Bentley's Opinion.
12. The next and equally-important observation we have to record here is one discussed by Mr. Bentley in his researches into the Indian antiquities. “The first lunar asterism,” he says, “in the division of twenty-eight was called Mûla, that is to say, the root or origin. In the division of twenty-seven the first lunar asterism was called Jyeshtha, that is to say, the eldest or first, and consequently of the same import as the former” (vide his Historical View of the Hindu Astronomy, p. 4). From this it becomes manifest that the vernal equinox was once in the beginning of Mûla, and Mûla was reckoned the first of the asterisms when they were twenty-eight in number, including Adhijit. Now there are fourteen asterisms, or 180°, from the beginning of Mrigashîrsha to that of Mûla, and hence the date at which the vernal equinox coincided with the beginning of Mûla was at least 3341 + 180 × 72 = 16,301 b.c. The position of the four principal points on the ecliptic was then as given below: