Researchers at the National Institute of Advanced Studies have published a breakthrough study in the Journal of Indian History of Science detailing a sophisticated computational analysis of the Siddhanta Tattva-Viveka, a 12th-century Sanskrit astronomical treatise. The study reveals that ancient Indian astronomers employed complex iterative algorithms to calculate the retrograde motion of planets, particularly Mars and Jupiter, with an accuracy that matches modern observational data.
By reconstructing the mathematical proofs found in the manuscript, the team identified a previously unrecognized form of non-linear geometric projection. This methodology allowed for the precise tracking of planetary loops against the celestial background, suggesting that the scholars of the period had developed advanced concepts of relative angular velocity. This research provides significant new evidence for the mathematical rigor of medieval Indian astronomy and its role in predicting complex celestial events.