Ease of Planetary Calculation (Unknown) - Page 22

Planet 10 70 Interval between contact and release Refined by ghatis A ghati is a unit of time equal to 24 minutes = 2

The middle of the eclipse, when subtracted from and added to the half-duration, respectively, gives the times of contact the beginning and release the end of the eclipse. || 5 || The total obscuration original: mīlana, closing of the eyes and the emergence original: unmīlana, opening of the eyes occur [similarly]. The magnitude of the eclipse is determined by the digits original: angula, a finger's breadth used as a unit of measure of the diameter. The color of the eclipsed portion may be smoky, black, or reddish-brown; when the entire disk is seized a total eclipse, it is tawny or black. || 6 || Dividing the obscured portion by the diameter 30 digits and adding one, one should know the desired time...

By those measures, the degrees are multiplied. Separately subtracted and added. By those two, the duration of total obscuration is refined. Subtracted and added to the middle, they become the times of total obscuration and emergence.

...one's own eclipse. 7 Thus ends the section on the Solar Eclipse. || || Now, the realization of the eclipse is achieved through a very light and simplified process. For the sake of wonder, the true positions of the Sun, the Node, and the Lunar Day tithi are calculated with specific characteristics such as the magnitude of the eclipse. 1 [The values are] Signs etc.: 0, Degrees: 4, Minutes: 27... the Node of the Moon... at the beginning of the weekday Weekday: 4 (Wednesday), Ghatis: 45, Palas: 0...

2 For the Sun... the fixed constant original: dhruva... the signs... the lunar days and weekdays... 3 From the heap of months, doubled and divided by sixty-seven, the resulting signs are subtracted from the elapsed months to find the mean Sun. The elapsed months Signs... decreased by their own third part, those are the degrees; the minutes are equal to a quarter of the months. 2

Those months, decreased by their own third part, are the degrees = 2 The heap of months multiplied by twenty-six are the minutes = 9 Now, the fixed constant is added to the intercalary months original: adhimāsa; the total heap of months is doubled and divided by sixty-seven; the result is in signs. That remainder is multiplied by sixty and divided [by the same divisor] to get degrees; the further remainder is multiplied by sixty and divided to get minutes. The heap of months, when reduced by these signs, degrees, and minutes, and refined by the correction for the fixed constant mentioned hereafter, becomes the Mean Sun. = 2

Solar Eclipse (Sūryagrahaṇam): The alignment where the Moon passes between the Earth and the Sun.
Signs (Rāśayaḥ): The twelve divisions of the zodiac (30 degrees each).
Degrees (Aṃśāḥ): Units of angular measurement.
Minutes (Kalā): Sub-divisions of a degree (60 minutes = 1 degree).
Month-heap (Māsagaṇāḥ): The total number of lunar months elapsed since a fixed epoch.
Fixed Constant (Dhruva): An astronomical constant used as a starting point for calculations.
Intercalary Month (Adhimāsa): An extra month added to the lunar calendar to keep it in sync with the solar year.
Refinement (Saṃskāra): Mathematical corrections applied to mean positions to find true positions.
Digit (Aṅgula): A standard unit of length, here used to measure the diameter of the celestial disks.