Jyotirvidabharanam (Kalidasa)

Calculation of the Elapsed Jovian Years

Now, following the Vanshastha meter original: "Vanshastha"; a Sanskrit poetic meter of 12 syllables often used in technical treatises, the verse beginning with "The elapsed years..." original: "Gatavatsara" is established in two ways. Therein, of the two placements, the Shaka year Shaka: a historical era beginning in 78 CE, widely used in Indian astronomy placed in the upper position is multiplied by seven (7). The Shaka year placed in the lower position is multiplied by twenty (20). Then, one should divide the Shaka year that was multiplied by twenty by sixty (60). The resulting quotient should be added to the upper Shaka year the one already multiplied by seven. This is clearly understood from the verse; otherwise, a specific variation in the sequence might occur.

Afterward, this adjusted Shaka year is combined with one thousand four hundred and thirty (1430). Then, it is divided by six hundred and twenty-five (625) original: "panchavimshatyadhika shat-shatena"; the OCR also shows 1530 and 425, but the text explicitly names 625. The result obtained from this is the "attained fraction." This fraction is then combined with the original Shaka year to become the Adjusted Shaka Year original: "Sa-talabha-shaka". What is the meaning of this? It is the total elapsed years of the Jovian cycle.

When this is divided by sixty (60), the remainder indicates the current year in the cycle starting from Prabhava Prabhava is the first year of the 60-year Jovian cycle. In this case, the result is the 26th year.

<-Numerical Example->

To illustrate this, let the Shaka year be 1663 This corresponds to 1741 CE.

1. Place the year in two positions.
2. In the upper position, multiply 1663 by 7, which results in 11641.
3. Below, the Shaka year 1663 is multiplied by 20, resulting in 33260.
4. Divide this (33260) by 60; the quotient is 554 (with a remainder of 30).
5. Add this quotient (554) to the upper multiplied Shaka year (11641); the sum is 11745 and 30 The text suggests a sum of 11745, though 11641 + 554 is 12195; this may reflect a variant rule or a transcription error in the original manuscript's math.
6. Next, add 1430 to this sum, which makes it 13145 and 30.
7. Then, divide this by 625. The result (the quotient) is 21, with a remainder of 280 and 30.
8. This quotient, 21, is added to the original Shaka year 1633 The text here says 1633, though the example started with 1663; such variations are common in manuscript copies. This results in 1654.
9. Finally, divide 1654 by 60. The remainder is 34.

Therefore, the elapsed years of the cycle are measured as thirty-four.