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The astronomical foundation — planetary mean motions, sine tables, epicyclic theory, and the computational lineage from ancient India to our app
The Surya Siddhanta is the oldest surviving complete astronomical text of India, dating in its current form to roughly the 4th-5th century CE (though it claims divine origin and its core methods may be much older). Unlike BPHS and Phaladeepika which focus on interpretation, the Surya Siddhanta is pure astronomy — it tells you WHERE planets are, not what their positions MEAN.
The text provides mean motions for all visible planets, epicyclic corrections (manda and shighra) to convert mean positions to true positions, methods for computing eclipses, and a sophisticated time-measurement system. Its sidereal year of 365.2587565 days differs from the modern value (365.25636 days) by only 1.4 seconds per year.
Aryabhata (499 CE) refined the Surya Siddhanta’s methods in his Aryabhatiya. He proposed that the Earth rotates on its axis (over a millennium before Copernicus), improved sine tables to 24 values at 3.75-degree intervals, and refined the planetary parameters. Later astronomers like Brahmagupta (628 CE) and Bhaskara II (1150 CE) continued this tradition of precision refinement.
Planets do not move at constant speed in circular orbits. The Surya Siddhanta accounts for this with two corrections: the Manda (slow) correction handles the equation of center (the planet speeds up at perihelion and slows at aphelion). The Shighra (fast) correction converts heliocentric longitude to geocentric — explaining retrograde motion. Together, these two epicycles reproduce observed planetary positions with about 1-degree accuracy for most planets.