HS 847 : Algorithms in Indian Astronomy

HS 847 : Algorithms in Indian Astronomy                      

Basic tools and concepts in Spherical Astronomy ` Celestial sphere ` Need for differentco-ordinate system ` Ra`si and Naksatra divisions of ecliptic ` Concept of time `its division based on solar and lunar reckoning ` smaller units like days and months ` larger units like yuga, manvantara and so on.

Origin of the word algorithm ` algorithm & procedure ` Algorithms for the determination of Sine table ` geometrical and analytical ` Precise values of sine function for different values of argument based on infinite series expansion presented in 14th-15th century texts. 

Algorithms for determining geocentric longitudes of the planets ` determination ofdirection and place (latitude of the observer) ` finding time from shadow measurements ` computation of exact moment of conjunction/opposition of sun and moon ` elevation of the cusps of the moon.

Text/References

Tantrasa ` ngraha of Nilakantha, Ed.by K.V.Sarma, V.V.B. Institute of Indological Studies, Hoshiarpur 1977.

Bag A.K., Mathematics in Ancient and Medieval India, Chaukhambha Orientalia, Delhi 1979. 

Subbarayappa B.V. and Sarma K.V., Indian Astronomy - a source book, Nehru Centre, Bombay 1985. 

Sen S.N. and Shukla K.S., History of Astronomy in India, INSA, New Delhi 1985. 

Balachandra Rao S., Indian Astronomy - an Introduction, University Press (India) Limited, Hyderabad 2000.  

E.M.Reingold and Nachum Dershowitz, Calendrical Calculations, Cambridge University Press, 2000.