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

XVI. 11 XVI. SAURA : MEAN PLANETS 297 The error in the karaṇā method is 31' 18" in 43,20,000 years, which is negligible when we consider that the rule is given in a karaṇa, which is not intended to be used for such a long period. The yuga revolutions 3,64,220, is indeed that given in the original, as seen from the Ārdharātrika-pakṣa and Bhaṭṭotpala’s Pauliśa and Khaṇḍakhādyaka. Epoch Constant (kṣepa) for Jupiter The epoch is 427 Śaka i.e. 427 + 3179 = 3606 years from zero Kali, i.e. midnight, − 3 nāḍīs, 9 vināḍis. For 3606 years, the motion is 3,64,220 × (1/1200 + 1/(1200 × 600)) = 304 rev., 0ʳ 8° 6' 36" Subtracting the motion for 3 nāḍīs, 9 vināḍīs, − 16" Jupiter’s epoch constant got = 0ʳ 8° 6' 20" This is exactly what is given above in verse 6. Saturn: Yuga revolutions 1,57,79,17,800 × 1000 ÷ 1,07,66,066 = 1,46,564 rev., 0ʳ 3° 26' 12" The cycle correction = 1,46,564 × 5''' = − 3° 23' 34" ∴ The Yuga cycles got = 1,46,564 rev., 0ʳ 0° 2' 38" This is indeed the yuga cycles given in the Ārdharātrika-pakṣa etc. neglecting the small error of 2' 38" accumulating in 43,20,000 years, due to the karaṇa roughness. Epoch constant for Saturn 1,46,564 (1/1200 + 1/(600 × 1200)) = 122 rev., 4ʳ 2° 28' 5" Deducting for 3 nāḍīs, 9 vināḍis − 6" The epoch constant got = 4ʳ 2° 28' 49" Mars: Yuga revolutions 1,57,79,17,800 ÷ 687 = 22,96,823 rev. 6ʳ 29° 4' 59" Rev. Correction = 22,96,823 × 14''' = + 4ʳ 28° 52' 5" ∴ Yuga-cycles = 22,96,823 rev. 11ʳ 27° 57' 4" = 22,96,824, in round numbers, being short only by 2° 3', negligible in the long period. We see agreement with the original. Epoch constant for Mars The epoch constant is 22,96,824 (1/1200 + 1/(600 × 1200)) = 1917 rev., 2ʳ 15° 36' 43".2