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Computational Analysis of 11th-Century 'Siddhanta-Shiromani' Manuscripts Reveals Early Sanskrit Algorithms for Modeling Non-Linear Atmospheric Scintillation

📅 April 11, 2026 📰 Journal of Indian Astronomy
Computational Analysis of 11th-Century 'Siddhanta-Shiromani' Manuscripts Reveals Early Sanskrit Algorithms for Modeling Non-Linear Atmospheric Scintillation

New research published in the Journal of Indian Astronomy has unveiled a sophisticated understanding of atmospheric scintillation—the 'twinkling' of stars—within the mathematical treatises of Bhaskara II. By applying modern computational modeling to the 11th-century Siddhanta-Shiromani, scholars identified specific recursive algorithms used to calculate the variance in perceived stellar position caused by air density fluctuations at different altitudes.

The study reveals that medieval Indian astronomers developed a series of corrections for 'drishti-kshepa' (visual deviation) that parallel modern optical physics models. These findings suggest that Sanskrit mathematics was not only concerned with orbital mechanics but also with the complex physics of light propagation through the Earth's atmosphere, predating similar Western inquiries by several centuries.

Original source: Journal of Indian Astronomy