Nilakantha's Annual Horoscopy

The sum results in this number: 1351912 | 18 | 30. Dividing the top figure by seven, the remainder indicates the weekday and time of the Year Entrance: 2 | 12 | 18 | 30 In this system, 2 represents Monday, starting the count from Sunday..

Calculation of the Lunar Day (Tithi)

Now, the calculation of the lunar day: The number of elapsed years is 37. Multiplied by eleven, it becomes 407. This is increased by its own 170th part, which is 2 407 divided by 170 is approximately 2.39; here, the integer 2 is added, totaling 409. To this, add the 2 lunar days elapsed from the first day of the waxing moon at the time of birth, totaling 411. When divided by thirty, the remainder is 21. This indicates that the Year Entrance occurs on the 6th day of the dark fortnight Krishna Paksha Shashti: the 21st lunar day of the month.

Because the previously calculated weekday does not fall on this lunar day, but rather on the following one, we add 1 to the lunar day: 21 + 1 = 22. Thus, the date is the 7th day of the dark fortnight Krishna Paksha Saptami.

In whatever month the birth occurred, the Year Entrance usually occurs in that same month. Occasionally, it may occur in the preceding or following month. The proof for this is as follows: The month in which the Sun's position is exactly equal to the Sun's position at the moment of birth is to be known as the month of the Year Entrance.

The Calculated Date:
Vikrama Samvat 1785; Shaka 1650; Month of Magha, 7th day of the dark fortnight; Monday.
Time: 37 ghatis Ghati: a unit of 24 minutes and 39 palas Pala: a unit of 24 seconds.
Nakshatra Lunar mansion: Hasta (17 ghatis, 28 palas).
Yoga Auspicious period: Sukarma (27 ghatis, 28 palas).
On this auspicious day, the Year Entrance for the 38th year occurs at 12 ghatis, 18 palas, and 30 vipalas after sunrise.

On the Authority of the Year Entrance Time

Now, the authority for this timing of the Year Entrance is stated:
"The time of the Year Entrance is determined by the Sun. The wise must certainly know that the month of Year Entrance is when the Sun’s position is exactly equal to the Sun’s position at the moment of birth. Because of this, the Sun calculated through the method of Year Entrance becomes equal in signs, degrees, minutes, and seconds to the birth-Sun. This is the very proof of the Year Entrance time."

An example of this will be shown further on. Ganesha Daivajna A famous 16th-century Indian astronomer, in his own work Tajika Bhushana, realized that the Sun at the calculated Year Entrance did not perfectly match the birth-Sun’s minutes. To resolve this "confusion" regarding the timing of the Year Entrance, he suggested an alternative refinement:

1. Subtract the birth Shaka year from the current Shaka year. Multiply the remainder by 5, then divide by 2164. The result, when added to the weekday and ghatis of birth and divided by seven, certainly gives the Year Entrance. ॥ 1 ॥

2. At the time of the Year Entrance, measured in ghatis and palas, the Sun is indeed most accurate. This should be calculated according to the Siddhantic canonical astronomical rules so that it is equal to the birth-Sun. ॥ 2 ॥

3. If the Sun, which delights the lotus-like day, does not match exactly in its minutes, then one should adjust the difference based on the speed of the Sun. ॥ 3 ॥

4. From this, the Year Entrance becomes accurate. One should then determine the fruits of the year based on the planetary houses and positions existing at that specific moment. ॥ 4 ॥

Now, an example is shown to remove the confusion caused by Ganesha Daivajna...