In Episode 32 of Ancient Code, Modern Mind, host Harsh Rain continues Aryabhata’s eclipse prediction methodology in the Golapāda of the Aryabhatiya, focusing on calculating eclipse duration and magnitude. Building on Episode 31’s shadow dimensions, the episode explores effective radii: Sthityardha (half-sum of diameters) for partial phase duration and Vimardārdha (half-difference of diameters) for total/annular phase duration. Aryabhata applies the Pythagorean theorem to compute half-duration times using these radii, the Moon’s latitude (Vikṣepa), and relative speeds, converting path lengths to time in nāḍikās. The episode also covers eclipse magnitude (Grāsa), the fraction of the eclipsed body’s diameter covered, calculated as the overlap depth divided by the eclipsed body’s diameter. These methods apply to both lunar and solar eclipses, mirroring modern prediction techniques. Engaging and technical, this episode reveals Aryabhata’s geometric precision in quantifying celestial spectacles.

Key Words:
Aryabhata, Golapāda, eclipse calculations, duration, magnitude, Sthityardha, Vimardārdha, Grāsa, Pythagorean theorem, Moon’s latitude, Vikṣepa, relative speed, nāḍikās, lunar eclipse, solar eclipse, geometry, astronomy, ancient India, eclipse prediction, celestial mechanics.

Disclosures:

• This podcast is produced for educational and entertainment purposes and reflects interpretations of historical texts. Listeners are encouraged to consult primary sources and scholarly works for further study.

• Pronunciations of Sanskrit terms are approximations for accessibility and may vary across regional traditions.

• This podcast may utilize artificial intelligence for voice generation and content creation to enhance production quality and accessibility.