6_Surya Siddhanta_Ayanamsa applies to stars only_calculated from Dhruva_polar star longitude.pdf

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Siddhanta-siromani
-698-
Chapter 18
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As the polar longitudes are constant, the ancient astronomers have only
mentioned drikkarma corrected polar longitudes and rectified latitudes for
simplicity. There were no mention of ayanaamsas.
18)
At that time, the concept of ayanaamsas did not exist. In fact these polar
longitudes and rectified latitudes do change if there be ayanaamsas. Here in
this case the polar longitudes and rectified latitudes are to be computed in a
reverse process. For this we have the convert the latitude into its sine (un-
rectify) and proceed as described in the verse 3 of the Grahachchayadhikar
Chapter.
Go on applying repeatedly the ayan-drikkarma correction reversely to the
un-rectified sine of the latitude; that is, multiply the un-rectified latitude by
the ayanavalana and divide by the dyujya to obtain the pranas in the arc. If
these pranas and valana of the latitude be on the same side, then we take the
polar longitude as the sun and correct it repeatedly using the direct lagna of a
place on the equator, and if they be on the different side then we correct it
repeatedly using the versed lagna to obtain the reverse of ayana-drikkarma
of the polar longitude. Apply the previously described ayana-drikkarma to
the ayanaamsa of the obtained polar longitude.
19)
Siddhanta-siromani
-699-
Chapter18
This means, we have to obtain the valana and the yashthi of the polar
longitude of the reverse ayana-drikkarma. Then we multiply the un-rectified
latitude by the valana and divide this product by the dyujya, take the arc of
this result and assume the un-rectified polar longitude as the sun. Now if the
latitude and vlana be of the same direction, then obtain the versed lagna, else
obtain the direct lagna to find the corrected polar longitude. If we rectify the
sine of latitude as is being described, that is, multiplying it by yashthi and
dividing it by the radius; we will have the rectified latitude.
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The mathematicians prescribe this kind of rectification for polar longitude
and latitude in case of the conjunction of a planet and a star. When the
ayanaarhsa is less, the difference is less, but when the ayanaariisa is large,
then this method should be followed.
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