500 Years of Tantrasangraha

500 Years of Tantrasangraha

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Author: M S Sriram
K Ramasubramanian/M D Srinivas
Publisher: Indian Institute of Advanced Study
Year: 2002
Language: English
Pages: 185
ISBN/UPC (if available): 8179860094

Description

The year 2000 was the five-hundredth anniversary of the composition of the celebrated astronomical text Tantrasangraha by the renowned Kerala astronomer Nilakantha Somayaji (C. 1444-1545 AD) of Trikkantiyur. Trantrasangraha ranks along with Aryabhatiya (c. 499 AD) of Aryabhata and Siddhantasiromani (C. 1150 AD) of Bhaskaracharya as one of the major works which significantly influenced all further work on Astronomy in India.

In Tantrasangraha, Nilakantha introduced a major revision of the traditional Indian planetary model. He arrived at a unified theory of planetary latitudes and a better formulation of the equation of centre for the interior planets (mercury and Venus) than was available, either in the earlier Indian works, or in the Islamic or European traditions of Astronomy till the work of Kepler. In his other works Golasara, Siddhantadarpana and Aryabhatiyabhashya, Nilakantha outlined the geometrical picture of planetary motion that follows from his model. According to this picture, the five planets Mercury, Venus, Mars, Jupiter and Saturn go around the sun which in turn goes around the Earth.

During 11-13 March, 2000, the Department of Theoretical Physics, University of Madras, organized a Conference to celebrate the 500th Anniversary of Tantrasangraha, in collaboration with the Inter-University Centre of the Indian Institute of Advanced Study, Shimla. The Conference turned out to be an important occasion for highlighting and reviewing the recent work on the achievements in Mathematics and Astronomy of the Kerala school and the new perspectives in History of Science, which are emerging from these studies. This volume is a compilation of the important papers presented at this Conference.

Contents

PREFACE

Nilakantha Somayaji (1444-1545 AD)
The astute astronomer of Kerala and his works

Planetary Models in Indian and Greek Astronomical Traditions

Nilakantha's Revision of the Traditional Indian Planetary Model

Geometrical Picture of Planetary Motion according to Nilakantha

Quasi-Keplerian Model of Suryasiddhanta

True Longitudes of Planets and Variable Epicycles in the Aryabhatan School

Samanta Chandra Sekhara and his Treatise Siddhantadarpana

Persian Astronomical Tables Composed in in India

Islamic Astronomy in India during 16th-18th Centuries and its Interaction with Traditional Indian Astronomy

Nilakantha's Geometrical Demonstration of Sums of Series of Natural Numbers

Derivation of the Samskaras applied to the Madhava Series in Yuktibhasha