सामग्री पर जाएँ
सर्वकोश
सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

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

Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary

भास्कराचार्य द्वितीय द्वारा

DevanagariHindipublished573 पृष्ठ

पृष्ठ 418, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 418

398
Vikṣepa or the celestial latitude of the Moon M₂ R₂ is to
be drawn along this Valanasūtra M₂ V. With R₂ as centre
and radius p drawn the Rāhu-Bimba.
Fig. 89 Depiction of Fig. 88, keeping the Moon fixed
The slight flaw in this figure is that ML₁ L₃ implied
as the path of the Moon is taken to be parallel to the
ecliptic R₁ R₂ R₃ the path of the eclipsing body the
Grāhakamārga, in as much as latitudes are drawn perpendi-
cular to ML₁ L₃.
This figure depicts a total eclipse of the Moon. If M
coincides with R₂ at the middle moment of the eclipse,
then the eclipse is called central.
The duration of a central eclipse will be on the
average the time that the Moon's disc takes to cross the
diameter of the Rāhu-Bimba with its relative velocity.
Hence the mean duration of a central eclipse is
Average diameter of Rāhu + Average diameter of the Moon
──────────────────────────────────────────────────────────
Relative velocity of the Moon with respect to the shadow
= [(81+64) × 24] / [790′-35″ — 59′-8″] hrs = 145/732 × 24 = 290/61 =
4 hrs–45 minutes approximately.