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

156 PAÑCASIDDHĀNTIKĀ VI.4 according to the Paulisa and this agrees beautifully with its position than according to modern astronomy, 236°, and tolerably well with those of other Siddhāntas. Therefore the incorrectness must be in the Moon, and as much error in the tithi is unlikely, nor in the Sun as well. On examina- tion we find it is indeed so; we find that at the period of the author the Sun and the Moon of Pauliśa were less by about a degree and a half, than those of other Siddhañtas. By this error in the Moon, the value of Moon minus Rāhu will be less by about a degree and a half, (1° 36′) and instead of correcting the error by adding it to the Moon, we subtract 1° 36′ from Rāhu, which is the same. We do not add it to the Moon, because if we do, we must add the same quantity to the Sun to keep the tithi intact, and this will affect the Saṃkramaṇas, and thus cause a lot of disturbance. If added to Rāhu nobody will even notice it. It may be asked whether it is not wrong to use the latitude calcu- lated in III.31 from uncorrected Rāhu in our work here, as we are going to do. Indeed it will be wrong, and that is why the author gives a correction below, in stanze 4, to set it right.¹ TS do not understand the nature of this correction, not even its amount and its connection with stanza 4. Their ignorance in the matter of the computation of Rāhu, which we exposed in III. 28- 29, they exhibit here also, (see their Sanskrit Comm. page 40). [ग्रहणस्थितिकालः ] विक्षेपकलाकृतिवर्जितस्य पञ्चोनषष्टिवर्गस्य । मू(लं) द्विगुणं तिथिवृद्धिभज्य काल(: स्थि)तेर्भवति ॥ ३ ॥ शशितिमिरविवरभा(गाः) त्रयोदशोनाः शराऽऽहताः क्षेप्याः । स्थि(त्यां) विनाडिकास्ता राहावधिकेऽन्यथा हानिः ॥ ४ ॥ Duration of the eclipse 3. Square the Moon's latitude, subtract it from the square of 55, (i.e. from 3025), and find its square root. Double this, and multiplying by 60, divide by the difference of the daily motions of the Sun and Moon, in minutes. The approximate time of the duration of the eclipse is got in nāḍis. 4. If Moon ~ Sun is less than 13°, multiply the degrees by 5. The result are vināḍis. Add these vināḍis to the duration if the longitude of Rāhu is greater than that of the Moon, and subtract if the Moon is greater than Rāhu. Thus the time of duration becomes correct. The following are the steps in the work: i. Using III.31, find the Moon's latitude, (using uncorrected Rāhu). ii. Uncorrected time of duration in nāḍis = √(3025 − (latitude in minutes)²) × 120 ÷ difference of daily motions of Sun and Moon in minutes. 3a. A. क्रति c. A.B. मूलो 4a. A.B.C.D. भागैः d. A.B. कालस्थि c. A.B.C.D. स्थित्या