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

204 PAÑCASIDDHĀNTIKĀ IX.9 its anomaly is less than six rāśis, and added if more than six rāśis. (The true Sun and Moon at Ujjain mean noon is got.) 9. Multiply the Sun's arc, kept aside in one place, by the Sun's true daily motion, (in minutes), and that kept in the other place by the Moon's true daily motion (in minutes). Divide each by 21,600. Add or subtract the resulting minutes in the respective true longitude found, according as the Sun's arc was first added or subtracted. (The true Sun and Moon at Ujjain true noon is obtained.) The following are the formulae: (a) To get the true Sun: (i) Mean Sun − 80° = Sun’s anomaly. (ii) Sine Sun's anomaly × 14 ÷ 360 = sin Sun's equation of the centre. Its arc is the equation of the centre. (Eq.C). (iii) Mean Sun ∓ Sun’s equation of the centre = true Sun at Ujjain mean noon. (The upper sign, if the anomaly is less than 6 rāśis, lower if more.) (iv) iii ∓ Sun’s equation of the centre × Sun's daily motion in minutes ÷ 21,600 = True Sun at true mean noon. (Addition or subtraction as in iii.) (b) To get true Moon: (i) Mean Moon − Moon’s apogee = Moon’s anomaly. (ii) Sine Moon’s anomaly × 31 ÷ 360 = sine Moon's equation of the centre. Its arc is the equation of the centre. (iii) Mean Moon ∓ Moon’s equation of the centre = true moon, at Ujjain mean noon. (The upper sign, if the Moon’s anomaly is less than 6 rāśis, lower if more.) (iv) iii ∓ Sun’s equation of the centre × Moon's true daily motion in minutes ÷ 21,600 = True Moon at true noon. (Addition or subtraction as in (a) iii). Example 5. Days = 5,28,931. Find the true Sun at true noon, Ujjain. From example 1 (a) the mean Sun = rā. 1-5-15.7. The longitude of Sun’s apogee is 80°. From these two: (a) (i) The Sun’s mean anomaly = rā. 1-5-15.7 − 80° = rā. 10-15-15.7. (ii) Since anomaly = sine rā. 10-15-15.7 = Sin rā. 1-14-44.3 = 84' 27'', ∴ Sine equation of the centre = 84' 27'' × 14 ÷ 360 = 3' 17''. ∴ Equation of the centre = arc 3' 17'' = 1° 34'.1. (iii) True Sun at mean noon = rā. 1-5-15.7 + 1° 34'.1 = rā. 1-6-49.8, (addition because the anomaly is greater than 6 rāśis). (iv) True Sun at true noon = rā. 1-6-49.8 + 1° 34'.1 × 57.4 ÷ 21,600 = rā. 1-6-49.8 + 0'.3 = rā. 1-6-50.1. (That the daily motion of the Sun is 57'.4 will be given under verse 13, below.)

8a. B. रयानल A. तच्चाप C. द्विःस्थितं; B. दिस्थित 7a. A. ॰शीत्योद्विनो; B. अशात्योद्विनो A.B.C. शशाङ्कवशात्; D. शशाङ्करवौ b. A. B1.2. केन्द्रक्षः A1. वर्जित; A2. वर्जित; B. चज्जित c. B. om प्रथमे c. A. B1. ॰तज्यार्कस्य 9b. B. भक्तिघ्नं. A. B. खरखाब्धि d. A1. गुणिता; A2. गुणता d. A2. चंद्रेव