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

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Comm. from the Hindu Astronomical point of view
this is an intricate procedure which made that particular
half-learned astronomer declare "पाताधिकारे मम नाऽधिकारः"
ie. "I have no pretensions to have understood the
chapter known as Pātādhikārā", We perceive herein
Bhāskara's mathematical understanding of the problem.
His procedure is approximate because he uses (1) the
smaller crude table of Hsines taking the radius to be 120'
instead of 3438. (2) also because he gives the Sun's
declinations for longitudes 15°, 30° etc. as well as Moon's
celestial latitudes for his longitudes of 15°, 30° etc.
relative to the node in his orbit. Of course, his mathema-
tical procedure was correct.
He exemplifies his mathematical procedure by solving
a problem given in the prasna-Adhyāya of his book
Golādhyāya. The problem set by him is as follows.
युक्तायनांशोऽशशतं शशी चेत्
अशीतिरर्को द्विशती विपातः
चन्द्रः, तदानीं वद पातमाशु
धीवृद्धिदं त्वं यदि बोबुधीषि ।
ie. If the tropical longitude of the Moon is 100°, that of
the Sun 80°, and the longitude of the Moon measured in
his orbit from the Node Rāhu is 200°, compute the moment
of the occurence of the pāta, if you know what was said by
Lalla in his work Siṣya dhīvṛddhida. We shall first
understand Bhāskara's mind and subsequently we shall
give a modern procedure.