The Essence of Tajika Astrology

Now, the calculation of the desired year from the total heap of days (Ahargana)

The total count of days original: "dyugana" or "ahargana," the number of days elapsed since a fixed epoch multiplied by eleven (11) represented by the word "Rudra," the eleven forms of Shiva and divided by six hundred and ninety-two (692) represented by the phrase "days, teeth, and flavors" gives a quotient. This quotient is added to the original day-count. The result is then divided by thirty (30) represented by "void and qualities"; the resulting quotient is the total number of months, and the remainder is the lunar day Tithi.

Then, that total number of months is increased by fifteen (15) and divided by five hundred and three (503) represented by "qualities, senses, and arrows". The quotient obtained, plus one, represents the intercalary months Adhimasa extra months added to the lunar calendar to keep it in sync with the solar year. These intercalary months must be subtracted from the total heap of months.

The remaining months are divided by twelve (12) represented by "Suryas," the twelve solar deities to find the elapsed years. These years are added to the Epoch Era Shaka the reference year from which the calculation began. The remainder from the division by twelve indicates the number of elapsed months starting from Chaitra the first month of the Hindu year. In this way, the time of the year is described by the wise. From this day-count, the positions of the planets and the houses should be calculated accurately, and their strengths should be determined as if through direct observation. || 5-6 ||

Now, the explanation of the calculation of the desired time from the day-count: "The day-count multiplied by Rudra..."—The previously calculated day-count, including its fractions, is multiplied by eleven (11) and divided by six hundred and ninety-two (692). The day-count is increased by this quotient and then divided by thirty (30). The quotient is the total months, and the remainder is the lunar day. Then, that month-count is increased by fifteen (15) and divided by five hundred and three (503). The result, plus one, is the number of intercalary months. These Adhimasa are to be subtracted from the total heap of months. Then, dividing by twelve gives the elapsed years. These elapsed years are added to the Epoch Era Shaka from which the day-count was originally calculated; this becomes the Desired Era Ishta-shaka. The remainder from the division by twelve should be known as the elapsed months, such as Chaitra and so on. Thus, the time of the year is described by the wise. The rest is clear.

For example:
The established day-count with fractions is 15011 | 8 | 58.
Multiplied by eleven (11): 1662102 (ignoring the remainder).
Divided by six hundred and ninety-two (692), the quotient is the omitted lunar days: 2387.
Adding these to the day-count 150191... [text cuts off]