Delight of Mathematicians (1912) - Page 19

original: "Madhya Adhyaya"

...and the epoch constant Dhruva the fixed starting position for this calculation should be 5-2-16-20. The minutes of arc and related fractions, obtained by dividing the triple-multiplied years Karanabda by 134, should always be added to Jupiter Guru. From the daily motion and the distance traveled, minutes and seconds are calculated; after dividing by the sun's number 12, they are subtracted. From the years elapsed since the start of the Kali Yuga Kalyadyuna, subtract thirty-six hundred 3600. Multiply the remainder by twelve and divide by one hundred and fifty-five 155. When these minutes are subtracted, the result is the position of Jupiter Vachaspati.

Explanation: If you multiply the 'ma' group a specific variable in the calculation by 5 to get minutes, and then subtract the minutes obtained by dividing that same group by 2, you arrive at the position of Jupiter Brihaspati in minutes and seconds. The previous epoch constant Dhruva of 5-2-16-20 must be added. The minutes and seconds obtained by dividing the triple-multiplied years by 134 are also added. After performing the longitudinal correction Deshantara Samskara adjustment for the observer's distance from the prime meridian, subtract 3600 from the elapsed years of the Kali Yuga, multiply the remainder by 12 and divide by 155. Subtracting these resulting minutes gives the final position of Jupiter Brihaspati.

Calculation for Venus

original: "Shukra Sadhanam"

Verse: Multiply the day-count by eight and keep it in two places. Dividing the first by five gives degrees; dividing the second by sixty-two gives minutes and seconds. To this, add the epoch constant Dhruva for Venus Kavi, which is 11-9-9-21. For the triple-multiplied years, divide by 1893 to find the degrees. After performing the longitudinal correction Deshantara, subtract thirty-six hundred 3600 from the elapsed years of the Kali Yuga. Multiply the remainder by forty-two and divide by one hundred and fifty-six 156. Subtracting these minutes quickly gives the fast anomaly Shighra the point in the planet's orbit where it appears to move fastest of Venus Bhrigu.

Explanation: Multiply the total day-count Dyuguna by 8 and keep the result in two copies. Dividing the first copy by 5 gives the position in degrees; dividing the second copy by 62 gives the position in minutes. When these are added, it becomes the position of Venus Shukra. The epoch constant Dhruva of 11-9-9-21 must be added. Divide the triple-multiplied years by 1893 and subtract the resulting degrees. After applying the longitudinal correction Deshantara Samskara, subtract 3600 from the elapsed years of the Kali Yuga, multiply the remainder by 42 and divide by 156. Subtracting these minutes gives the Venus Fast Anomaly Shukra Shighra.

Calculation for Saturn

original: "Shani Sadhanam"

Verse: From the total day-count Dyupinda multiplied by two, the minutes and degrees of Saturn Shani are found. From the day-count divided by one hundred and fifty-eight 158, the minutes are added...