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

194 PAÑCASIDDHĀNTIKĀ VIII.18 The nāḍis of new moon from mean sunset at Yavanapura, = 60 × 8° 48′ ÷ 778′ = nā. 40-43. The time of new moon from mean sunset at Pudukkottai = nā. 40-43 + nā. 8-0 = nā. 48-43. i.e. on the 60th day, after mean sunrise at Pudukkottai, the new moon is at nā. 48-43 − nā. 30-0 = nā. 18-43. Given the half-cara for the day, 39 vināḍis, the new moon is at nā. 18-43 + vi. 39 = nā. 19.22. (No correction is made for equation of time since the Siddhānta does not give it.) At new moon, the Sun = the Moon = rā. 1-28-24 + 48′ = rā. 1-29-12. Head of Rāhu at new moon = rā. 7-22-41 − 2′ = rā. 7-22-39. Correction of new moon for parallax (by verse 9.): Half day-time is nā. 15-0 + vi. 39 = nā. 15-39. The time elapsed after noon = nā. 19-22 − nā. 15-39 = nā. 3-43. Corresponding to this, there are 22° 18′. Sine 22° 18′ = 45′ 32″. The parallax bending of the new moon, (later) = 45′ 32″/30 = nā. 1-31. Parallax-corrected new moon = nā. 19-22 + nā. 1-31 = nā. 20-53. The OEP at new moon: The required ascensional difference for every Drekkāṇa for Pudukkottai in vināḍis are 90, 94, 98 for Taurus; 102, 105, 108 for Gemini; 109, 110, 109 for Cancer; 108, 105, 103 for Leo; 101, 101, 99 for Virgo. The new moon is 1162 vināḍis from sunrise. 8 vināḍis after sunrise Taurus ends, 315 from this Gemini ends, 328 from this Cancer ends, and 316 from this Leo ends. For the remaining 195 in Virgo, the part risen is 10° + 9° 18′ = 19° 18′. ∴ OEP = rā. 5-19-18. Nonagesimal = OEP + rā. 9-0-0 = rā. 2-19-18. sin declination of nonagesimal = 48′ 48″ × sine (rā. 2-19-18) ÷ 120′ = 47′ 58″. Declination = 23° 33′, North. Corrected declination of the Nonagesimal (verses 10-11) Nonagesimal ~ Head of Rāhu = rā. 2-19-18 ~ rā. 7-22-39 = rā. 6-26-39. Sine of this = sin rā. 0-26-39 = 53′ 49″. 53′ 49″ × 2 (1 + 1/6) = 126′, south, (since the Nonagesimal is more than 6 rāśis distant from Head of Rāhu). Being of different directions, 23° 33′ − 126′ = 21° 27′, North is the corrected declination. Z̄ D N (by verse 12) : corrected declination − latitude = 23° 27′ − 10° 23′ = 11° 4′, north (being north declination and greater than latitude). Parallax in latitude (by verse 13) = Sin Z D N × Moon’s true daily motion in minutes ÷ 1800 = 22′ 50″ × 835 ÷ 1800 = 10′.6, north, (same direction as Z D N). The uncorrected latitude at new moon = (verse 14): Moon − Head of Rāhu = rā. 1-29-12 − rā. 7-22-39