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सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary

भास्कराचार्य द्वितीय द्वारा

DevanagariHindipublished573 पृष्ठ

पृष्ठ 225, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 225

205
(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