सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)
Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary
भास्कराचार्य द्वितीय द्वारा
पृष्ठ 538, कुल 573 में से
संदर्भ में पढ़ें518
Astārka C₁′; but C₁′ will have now a longitude less than C
which is incongruous.
In such a situation, Bhāskara says, there is no question
of the star setting heliacally at all. This is indeed, an
ingenious mathematical presentation of a physical pheno-
menon, which reflects credit to Bhāskara's genius.
Verse 16. Circumpolar stars or Sadōdita stars.
If a star has a northern declination greater than
90–ϕ (ie. ϕ > 90–δ) it will be always above the horizon ;
also if the southern declination is greater than 90–ϕ such
a star will never be seen in a northern latitude, be it
Lubdhaka or Agastya or even a planet for the matter of
that.
Comm. (Vide fig. 122) Let S₁ be a star such that
PS₁′ < PN ie. 90–δ < ϕ ie. δ > 90–ϕ. It is clear from the
figure that its diurnal path is entirely above the horizon.
It is called a Sadōdita star or circumpolar.
Take the case of S₂. Its southern declination ie. QS₂′
is greater than the lamba (90–ϕ) ie. QS. It is evident
from the figure that its diurnal path is entirely below
the horizon.
Bhāskara gives two examples here namely (1) where
the latitude is greater than 37°, there Agastya will not be
visible (having a great north-polar distance), (2) where
the latitude is greater than 52°, there Abhijit is always
above the horizon (having a small north-polar distance).
Bhāskara adds, ‘even a planet’. This will be true,
for example, in a high latitude say 89°. Suppose the
southern declination of a planet is greater than 1°. On
that day and for some more days also, the planet’s diurnal
paths will be below the horizon as will be clear from a
figure.