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

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The misconception in the mind of Chaturvedāchārya
as well as the wrong notion in the minds of Mādhava and
even Bhāskara in construing that the number of revolu-
tions of the nodes are to be increased by the number of
revolutions of the S'īghrocchas, are due to the fact that
it was overlooked that the position of S'īghrocohas with
respect to Mercury and Venus are given by their helio-
centric longitudes. In other words as is mentioned by
the verse “ ज्ञशुकयोः ग्रहः सूर्यः भवेत्तौ शीघ्रनामकाँ ” the S'īghroc-
chas of Mercury and Venus are no other than the helio-
centric positions of those planets. Thus the exclamation
of Chaturvedācharya cited above arose out of thinking
that the S'īghrocchas differ from the planets, whereas they
are the same heliocentrically, though they differ geocentri-
cally. Heliocentrically the planets longitude is (vide fig.
105) ÂSP which is equal to A/EP' geocentrically. The
geocentric longitude of the planet is on the other hand
A/EP differing from the above, though both the helio-
centric and geocentric longitudes point to the same planet.
Bhāskara, no doubt, gave a correct procedure but missed
to identify the S'īghroccha and the heliocentric position
of the planet. In this context, the reader is referred to
the author's ‘ peculiar concept of S'īghroccha in Hindu
astronomy published in the journal of Oriental Research
of the S. V. University Vol. XIV, Part 2, Dec. 1971.
Verse 2. The Hsine of the arc of the planet’s orbit
Vimandala intercepted between the nearer node and the
planet multiplied by the maximum latitude of the planet
cited, and divided by the S'īghrakarṇa gives the latitude
of the planet at the given place.
Comm. From the formula akin to that which gives
the declination of a point on the ecliptic namely sin δ =
sin λ sin ω or in the Hindu form H sin δ = (H sin λ H sin ω) / R ,