पञ्चसिद्धान्तिका (आचार्य वराहमिहिर - सूर्य, रोमक, पौलिश, वासिष्ठ एवं पितामह सिद्धान्त)

V. 10 V. PAULISA MOON'S CUSPS 149 Virgo 320, Libra 320, Scorpio 330, Sagittarius 337, Capricorn 309, Aquarius 265, and Pisces 236. There, on a certain day, the true longitude of the Moon at sunrise is rā. 1-18, the true Sun is rā. 10-3, the Sun's daily motion is 60', the Moon's daily motion is 840', the latitude of the Moon is 272' S, and its motion per day 8' S. Find the moonrise, moonset and upper culmination. The distance of the Moon from the Sun = rā. 1-18 − rā. 10-3 = rā. 3-15, (equal to 8¾ tithis). From this the approximate time of moonrise is, 8¾ × 2 = 17½ nāḍis. Therefore the time of moonset is approximately, 17½ + 31 = 48½ nāḍīs. The Sun at approx. moonrise is rā. 10-3-18, the moon rā. 1-22-5, and its latitude 274' S. At approximate moonset, the sun is rā. 10-3-49, the Moon rā. 1-29-19, and its latitude 278' S. Using each set, the computation is as follows: i. The correction for moonrise = 274' × 4 ÷ 12 = 91'. The correction for moonset = 278' × 4 ÷ 12 = 93'. ii. The corrected Moon for moonrise = rā. 1-22-5 + 91' = rā. 1-23-36. The corrected moon for moonset = rā. 1-29-19 − 93' = rā. 1-27-46. iii. Computing Moonrise: Elongation = Corrected Moon − Sun = rā. 1-23-36 − rā. 10-3-18 = rā. 3-20-18. As this is less than six rāśis, the moonrise is in the day-time. The time for the segment, rā. 3-20-18, to rise after sunrise is found thus: For the rest of Aquarius, which is the sign occupied by the Sun, to rise, the time taken is 265 × 1602' ÷ 1800' = 236 vināḍis. For Pisces to rise, 236, for Aries 236, for the corrected Moon to rise in Taurus, 265 × 1416' ÷ 1800' = 208 vināḍis. So the total time taken is, 236 + 236 + 236 + 208 = nāḍis 15-16. This is the time of moonrise. iv. Moonset: Elongation = Corrected Moon − Sun = rā. 1-27-46 − rā. 10-3-49 = rā. 3-23-57. Deducting six rāśis from this, we have rā. 9-23-57. The time for the rise of this much segment is found thus: For the rest of Aquarius to rise, the time taken is 265 × 1571' ÷ 1800' = 231 vināḍis. For Pisces 236, Aries 236, Taurus 265, Gemini 309, Cancer 337, Leo 333, Virgo 320 and Libra 320. For Scorpio to rise upto the point diametrically opposite to the corrected Moon, 333 × 1666' ÷ 1800' = 308. Adding up, the time of moonset is nā. 48-15. This agrees with what we can infer from elongation, for the elongation found is less than 6 rāśis, and the moonset must be in the night. v. The duration of the lunar day is nā. 48-15 − nā. 15-16 = nā. 32-59. Half this is nā. 16-30. Adding this to moonrise, mid-moon-day, the time of upper culmination of the Moon is nā. 15-16

• nā. 16-30 = nā 31-46, after sunrise. The instruction is thus explained: The problem is to find the time of rising or setting of the Moon, which is in its orbit, at a distance equal to its latitude from the ecliptic. If it can be projected