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

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negative when the planet courses the arc of the smaller
segment ab, because E₂ decreases from a maximum value
to zero. As a matter of fact δE₂ negatively increases along
ac and again increases from a negative minum at c to Zero
at b as we course along cb (vide fig. 11 & 12). Thus the
planet will assume zero velocity at two points symmetrical
about c and in between ab. In other words the planet will
be retrograde along the arc d₁ cd₂ not entirely along ab as
some have misconstrued. Regarding E₂, it is clear that it
is zero at S'. then gradually increases to a maximum as the
planet traces S'a, the maximum being assumed at a, then
it decreases from the maximum to zero as the planet
courses the arc ac. and then increases from zero to a maxi-
mum at b and finally decreases from that maximum to
zero at S' again. Keeping the Earth constant it will be
noted that an Inferior planet always goes anticlockwise
whereas a Superior planet always goes clockwise. Also
it will be seen that the Sīghraphala is positive as the planet
courses the arc Sac, whereas it is negative as it courses
cbS'.
(c) The values of the spashtagati at S' and C will be
respectively putting H cos E = R in the formula.
Spashtagati = Sīghragati — (H cos Eδm) / K . Here for
Sīghragati we may put U and U — V for δm, and putting
K = R + r at S' and R — r at C, the values of the spash-
tagati would be
[U — R (U — V)] / (R + r) and [U — R (U — V)] / (R — r) ie. (RV + ru) / (R + r),
(RV — rU) / (R — r) respectively.
(RV + rU) / (R + r) > (RV — rU) / (R — r) if R²V — rRV + RrU — r²U >
R²V — RrU + rRV — r²U