सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)
Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary
भास्कराचार्य द्वितीय द्वारा
पृष्ठ 228, कुल 573 में से
संदर्भ में पढ़ें208
gaṇa found by us is what is called Madhyama Sāvana-
ahargaṇa or number of days according to mean solar
reckoning, a reckoning made on the basis of taking
uniform motion of the Sun in right ascension. The
planets computed for the Sun-rise on this basis, are to be
corrected for the true Sun-rise which goes according to the
measure of ☉ ie. the true longitude of the Sun. But in
the name of Bhujāntara we have-effected the correction
for ☉ - l ; so what remains is to effect correction for l - a.
This correction is known as Udayāntara.
In other words, since we could not compute the
Sphuṭa Sāvana-ahargaṇa, when we deem that x days
have elapsed according to the mean solar reckoning from,
the epoch upto the mean Sun-rise x ± f might have
elapsed according to Sphuṭa Sāvana-ahargaṇa where f
is a fraction. A correction is to be effected for this
fraction f of a day and it is of the form ☉ - a =
☉ - l + l - a. In the beginning Bhāskara said that mean
planets are had being computed out of the mean solar
ahargaṇa, at the time when the mean Sun is about the
eastern horizon of the equator. Why did he say ‘about
the horizon’? It is because the mean solar ahargaṇa
indicates a Sun-rise on the basis of equal motion in right
ascension whereas on the basis of equal motion in l, he
would be about the horizon. Had we been able to compute
Sphuṭa-Sāvana-ahargaṇa, we could have got direct the
planetary position when the true Sun is on the horizon.
The correction for the difference in ☉ and l having been
attended to through Bhujāntara, we are now to attend to
the correction for the difference l - a.
Verse 64. Another way of looking at the same.
Had we obtained the Ahargaṇa in terms of the local
risings of the Rasis in the place of the equatorial, and
computed the planetary positions for the local true Sun-
rise obtained that way, we would have done the three