Researchers at the Indian Institute of Science (IISc) have published a paper in the Journal of History of Astronomy utilizing modern computational physics to test the accuracy of the 'epicycle' models described in the Sanskrit treatise Aryabhatiya. The study confirms that the mathematical constants used by the 5th-century astronomer Aryabhata for calculating the retrograde motion of Mars and Jupiter were accurate to within 0.02 degrees of modern celestial mechanics.
This research demonstrates that the 'Manda' and 'Sighra' epicyclic corrections described in the text were not merely symbolic but represented a sophisticated geometric understanding of planetary perturbations. The findings suggest that ancient Indian astronomers had developed a precursor to calculus-based approximations to account for the elliptical nature of orbits, centuries before similar models were refined in Europe.