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

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elongation is zero, i.e. when the apparent geocentric posi-
tion of the planet coincides with the Sun, who is taken to
be the mean planet. Naturally therefore the Uccha is
taken to coincide with the Sun the mean planet, when the
planet is in conjunction with the Sun. The maximum
equation was had in the case of the Mandaphala when the
arc between the Uccha and the mean planet was a right
angle. So, here also, the maximum equation i.e. the maxi-
mum elongation should be had when the Uccha is a at right
angle from the Sun. Thus an Uccha was postulated with
the following criteria namely (1) It should be a point
moving in a geocentric circle (2) It should coincide in
direction with the Sun when the planet is in conjunction
with the Sun (3) It should be removed by a right angle
from the Sun when the elongation is maximum (3) It
should be removed from the Sun by 180°, again when the
planet coincides in direction with the Sun (4) It should
have a longitude exceeding that of the Sun by 270 when
again the elongation is a maximum on the other side and
finally (5) It should complete a circle with respect to the
Sun when again the planet coincides in direction with the
Sun.
When such a point was conceived it is clear that this
Uccha is not the same as the planet, as some have mis
construed, because while the planet oscillates about the
Sun by a particular angle (29° in the case of Mercury and
45° in that of Venus) in Uccha completes a circle with
respect to the Sun and further as Hindu Astronomy postu-
lated geocentric motion, the Uccha is a point construed as
going in a geocentric circle. By the above postulation the
synodic period of the Uccha is equal to the period of oscil-
lation of the planet about the Sun. But the latter period
is no other than the synodic period of the planet so that
the synodic periods of the Uccha and the planet coinciding
their sidereal periods should be equal. In other words the
Uccha so conceived is a point other than the planet going
round in a geocentric circle and having a geocentric side-