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

III.4 III. PAULIŚA-SIDDHĀNTA 45 [चन्द्रगतिः] [वि]नवात् पदाद्दशघ्नात् सप्तांशः ‘(साश्विखस्वरो)’ भुक्तिः । गत्यर्थान्ताच्छोध्यो लिप्ताभ्यो ‘(नवमुनिवसु-थ्यः)’ ॥ ४ ॥ True Motion of Moon 4. If the padas obtained (by II.2) are plus-padas, (i.e., in the first half-gati) subtract 9 from the padas, multiply by 10 and divide by 7. Add the result to 702. The Moon's daily true motion in minutes is got. In the second half-gati, (i.e., if the padas are minus-padas), deduct 9, multiply by 10 and divide by 7 and subtract the result from 879. The resulting minutes are the daily true motion of the Moon. Example 2. Find the Moon's daily true motion for plus padas 9, 18, 27, 36, 63, 71, 72, 81, 117, 124 and minus-padas 9, 63, 71, 72, 117, 124. P = 9 daily motion = 10 (9 − 9)/7 + 702 = 702 minutes P = 18 " = 10 (18 − 9)/7 + 702 = 702 + 12 6/7 = 714 6/7 minutes P = 27 " = 10 (27 − 9)/7 + 702 = 702 + 2 × 12 6/7 = 727 5/7 minutes P = 36 " = 10 (36 − 9)/7 + 702 = 702 + 3 × 12 6/7 = 740 4/7 minutes P = 63 " = 10 (63 − 9)/7 + 702 = 702 + 6 × 12 6/7 = 779 1/7 minutes P = 71 " = 10 (71 − 9)/7 + 702 = 702 + 88 4/7 = 790 4/7 minutes P = 72 " = 10 (72 − 9)/7 + 702 = 702 + 7 × 12 6/7 = 792 minutes P = 81 " = 10 (81 − 9)/7 + 702 = 702 + 8 × 12 6/7 = 804 6/7 minutes P = 117 " = 10 (117 − 9)/7 + 702 = 702 + 12 × 12 6/7 = 856 2/7 minutes P = 124 " = 10 (124 − 9)/7 + 702 = 702 + 164 2/7 = 866 2/7 minutes P = 133 " = 10 (133 − 9)/7 + 702 = 702 + 177 1/7 = 879 1/7 minutes P' = 9 " = 879 − 10 (9 − 9)/7 = 879 − 0 = 879 minutes P' = 63 " = 879 − 10 (63 − 9)/7 = 879 − 6 × 12 6/7 = 801 6/7 minutes P' = 71 " = 879 − 10 (71 − 9)/7 = 879 − 88 4/7 = 790 3/7 minutes P' = 72 " = 879 − 10 (72 − 9)/7 = 879 − 7 × 12 6/7 = 789 minutes P' = 117 " = 879 − 10 (117 − 9)/7 = 879 − 12 × 12 6/7 = 724 5/7 minutes P' = 124 " = 879 − 10 (124 − 9)/7 = 879 − 164 2/7 = 714 5/7 minutes The daily motion when the pada is less than 9 cannot be found from the formula as it is, but we can frame a rule by considering the nature of the variation of motion. Minus-padas 1 to 8 are the successive padas after plus-padas 124 and previous to minus-padas 9. Therefore the motion must lie between 866 2/7 and 879, increasing from 866 2/7 (vide example). Therefore, minus-padas 1 to 8, multiplied by 10 and divided by 7, added to 866 2/7 will give the motion. In the same way, plus- padas 1 to 8 are successive padas after minus-padas 124, and before plus-padas 9. Therefore the motion lies between 714 5/7 and 702, decreasing gradually. Therefore plus-padas 1 to 8, multiplied by 10 and divided by 7 must be deducted from 714 5/7 to get the motion. 4a. A.B.C. नगात् पदात्. B 1.3. दशाघ्नात् b. A.B. साश्विखांवरो; C. साश्वि [खाचला] c. B. गत्यर्द्धान्ताच्छोध्यो B 1.3. भुव्तिक्तिः; B2. भवनोक्तिः d. A.B.C. वसुमुनिवथ्यः