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

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

Panchasiddhantika of Acharya Varahamihira with Commentary

आचार्य वराहमिहिर द्वारा

DevanagariHindipublished419 पृष्ठ

पृष्ठ 237, कुल 419 में से

संदर्भ में पढ़ें
पृष्ठ 237

IX.14 IX. SAURA-SIDDHĀNTA — SOLAR ECLIPSE 211 [चन्द्रकेन्द्रभुक्तिः] सप्तकला वित्र्यंशाश्चन्द्रोच्चस्येन्दुभुक्तिरनयोना | केन्द्रस्य परिज्ञेया स्फुटभुक्तिश्चा(न)या कार्या || १२ || Motion of Moon's anomaly 12. The daily motion of the Moon's apogee is 6 2/3 minutes. The Moon's mean daily motion less the motion of the apogee is the daily motion of the Moon's (mean) anomaly. The true daily motion is to be found using this motion of anomaly. We get that the daily motion of the Moon's anomaly is 790' 34" - 6' 40" = 783'54". The Sun's mean daily motion itself is the motion of its anomaly, since its apogee has no motion according to this Saura, as we have already said. Even if motion is taken into account, it is so small that it is prac- tically nothing per day. The rule to get the daily motion of Moon's anomaly is explained thus: From verse 3 above, we see that there are 900 revolutions of Moon's apogee in 29,08,789 days. ∴ in one day, the motion is 900 revolutions ÷ 29,08,789 = 6' 41". The correction per day is practically nothing and so left out. The author gives it as 6' 40", for convenience of expression, since the 1' left out will not affect the result materially. Since anomaly is mean longitude minus longitude of apogee, the motion of anomaly is mean motion minus motion of apogee, for it is the daily motions that add up to form the longitude. [रविशशिनोः स्फुटभुक्तिः] केन्द्रान्तरज्या गुणिता 'तिथिवर्गे'णोद्धृता च परिणा(म्या) | तत्कार्मुकं क्षयचयौ भुक्तौ मृगकर्कटाद्येषु || १३ || तत्कालभुक्ति(रेषा)ऽऽहोरात्रिकी शशिविशेषात् | व्यासार्धहता भुक्तिः स्फुटभुक्तिहता स्फुटः कर्णः || १४ || True motion of Sun and Moon 13. The daily motion of anomaly should be multiplied by the current sine- interval and divided by 225. This should be reduced to the epicycle, i.e. multiplied by the degrees of epicycle and divided by 360°. The change in sine Eq.C, is got. Its arc should be subtracted from the mean daily motion, if the anomaly falls within rāśis 9 to 3, and added if it falls within rāśis 3 to 9. 14. This is the true motion per day, for the moment (for which the anomaly is taken.) The true daily motion in the case of the Moon is got by subtracting 12a. B.विचित्र्यंशा 13a. C.केन्द्रज्यान्तरगुणिताः; D. ॰ज्यागुणिता b. A.रतयोना b. B. वर्गेणोधृता A. परिणाम्यः; B.C.D. परिणाम्य d. B. स्फुटभक्तिश्चात् या; A. श्रातया d. B1.3. भुक्तो मृगकर्कराद्येषु