Surya Siddhanta
The Surya Siddhanta (IAST: Sūrya Siddhānta; lit. 'Sun Treatise') is a Sanskrit treatise in Indian astronomy dated to 4th to 5th century, in fourteen chapters. The Surya Siddhanta describes rules to calculate the motions of various planets and the moon relative to various constellations, diameters of various planets, and calculates the orbits of various astronomical bodies. The text is known from a 15th-century CE palm-leaf manuscript, and several newer manuscripts. It was composed or revised c. 800 CE from an earlier text also called the Surya Siddhanta. The Surya Siddhanta text is composed of verses made up of two lines, each broken into two halves, or pãds, of eight syllables each.
As per al-Biruni, the 11th-century Persian scholar and polymath, a text named the Surya Siddhanta was written by Lātadeva, a student of Aryabhatta I. The second verse of the first chapter of the Surya Siddhanta attributes the words to an emissary of the solar deity of Hindu mythology, Surya, as recounted to an asura called Maya at the end of Satya Yuga, the first golden age from Hindu texts, around two million years ago.
The text asserts, according to Markanday and Srivatsava, that the Earth is of a spherical shape. It treats Earth as stationary globe around which Sun orbits, and makes no mention of Uranus, Neptune or Pluto. It calculates the Earth's diameter to be 8,000 miles (modern: 7,928 miles), the diameter of the Moon as 2,400 miles (actual ~2,160) and the distance between the Moon and the Earth to be 258,000 miles (now known to vary: 221,500–252,700 miles (356,500–406,700 kilometres). The text is known for some of the earliest known discussions of sexagesimal fractions and trigonometric functions.
The Surya Siddhanta is one of several astronomy-related Hindu texts. It represents a functional system that made reasonably accurate predictions. The text was influential on the solar year computations of the luni-solar Hindu calendar. The text was translated into Arabic and was influential in medieval Islamic geography. The Surya Siddhanta has the largest number of commentators among all the astronomical texts written in India. It includes information about the orbital parameters of the planets, such as the number of revolutions per Mahayuga, the longitudinal changes of the orbits, and also includes supporting evidence and calculation methods.