सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)
Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary
भास्कराचार्य द्वितीय द्वारा
पृष्ठ 225, कुल 573 में से
संदर्भ में पढ़ें205 (4) The maximum equation of centre in the Sun has a magnitude = 13 2°/3 × 1/2π = 41/3 × 7/44 = 287/132 = 2° — 10' Converting this into time at the rate of 15° per hour (since in one hour diurnal rotation of the earth is equal to 15°) we have 13/6 × 4 minutes = 26/3 = 8'—40''. The maxi- mum equation of centre according to modern astronomy is 2e expressed in radiaus where e = 1/60 (.0167339) = 2 × 1/60 radiaus = 2 × 1/60 × (180 × 7)/22 degrees = 21°/11 = 1°—54' — 33'. As such the max. Equation of time due to eccentricity is 21/11 × 4' = 84'/11 = 7'—38''. The small difference in the two values arises out of the difference in the max. equ- ations of centre. Any way it is clear that, in as much as the Bhujāntara correction is necessitated on account of the equation of centre in the Sun, to obtain the planetary positions computed for the mean Sunrise at the time of True Sunrise, the Bhujāntara correction is a correction in the planetary position, on account of the equation of time due to eccentricity. The max. correction to be effected in even the quick moving Moon amounts to (8 × 790)/(24 × 60) = 79/18 = 4'—23.3''. (5) We have said in the translation of the verse. ‘The asus in the Right ascention of the mean Sun’, where what exactly is stated by Bhāskara is, the time of rising of the small arc covered by the Sun in the particular Sāyana Rasi in which the Mean Sun is, (भुक्तासवः) together with the rising times of the previous Sāyana Rasis covered by the Sun. The meaning is therefore the rising time of an arc of the ecliptic equal to the Sāyana longitude of the ecliptic which is measured by his Right ascension at the