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Karaṇapaddhati of Putumana Somayājī

  • Venketeswara Pai
  • K. Ramasubramanian
  • M.S. Sriram
  • M.D. Srinivas

Table of contents

  1. Front Matter
    Pages i-xlviii
  2. Venketeswara Pai, K. Ramasubramanian, M. S. Sriram, M. D. Srinivas
    Pages 1-50
  3. Venketeswara Pai, K. Ramasubramanian, M. S. Sriram, M. D. Srinivas
    Pages 51-74
  4. Venketeswara Pai, K. Ramasubramanian, M. S. Sriram, M. D. Srinivas
    Pages 75-100
  5. Venketeswara Pai, K. Ramasubramanian, M. S. Sriram, M. D. Srinivas
    Pages 101-132
  6. Venketeswara Pai, K. Ramasubramanian, M. S. Sriram, M. D. Srinivas
    Pages 133-146
  7. Venketeswara Pai, K. Ramasubramanian, M. S. Sriram, M. D. Srinivas
    Pages 147-175
  8. Venketeswara Pai, K. Ramasubramanian, M. S. Sriram, M. D. Srinivas
    Pages 177-232
  9. Venketeswara Pai, K. Ramasubramanian, M. S. Sriram, M. D. Srinivas
    Pages 233-281
  10. Venketeswara Pai, K. Ramasubramanian, M. S. Sriram, M. D. Srinivas
    Pages 283-303
  11. Venketeswara Pai, K. Ramasubramanian, M. S. Sriram, M. D. Srinivas
    Pages 305-317
  12. Back Matter
    Pages 319-450

About this book

Introduction

Karaṇapaddhati of Putumana Somayājī is an important text of the Kerala School of astronomy and mathematics, probably composed in the 16th century. In the Indian astronomical tradition, the karaṇa texts are essentially computational manuals and they often display a high level of ingenuity in coming up with simplified algorithms for computing planetary longitudes and other related quantities. Karaṇapaddhati, however, is not a karaṇa text. Rather, it discusses the paddhati or the rationale for arriving at suitable algorithms that are needed while preparing a karaṇa text for a given epoch. Thus the work is addressed not to the almanac maker but to the manual maker.

Karaṇapaddhati presents the theoretical basis for the vākya system, where the true longitudes of the planet are calculated directly by making use of certain auxiliary notions such as the khaṇḍamaṇḍala and dhruva along with tabulated values of changes in the true longitude over certain regular intervals which are expressed in the form vākyas or mnemonic phrases. The text also discusses the method of vallyupasaṃhāra which is essentially a technique of continued fraction expansion for obtaining optimal approximations to the rates of motion of planets and their anomalies, involving ratios of smaller numbers. It also presents a new fast convergent series for π which is not mentioned in the earlier works of the Kerala School. As this is a unique text presenting the rationale behind the vākya system and the computational procedures used in the karaṇa texts, it would serve as a useful companion for all those interested in the history of astronomy. The authors have provided a translation of the text followed by detailed notes which explain all the computational procedures, along with their rationale, by means of diagrams and equations.

Keywords

Indian astronomy Mean planets Vallyupasaṃhāra technique kendraphalas hārakas kalpādidhruvas Rsines planetary longitudes Gnomonic shadow meridian transit Right Ascension

Authors and affiliations

  • Venketeswara Pai
    • 1
  • K. Ramasubramanian
    • 2
  • M.S. Sriram
    • 3
  • M.D. Srinivas
    • 4
  1. 1.Department of Humanities and Social SciencesIndian Institute of Science Education and ResearchPuneIndia
  2. 2.Department of Humanities and Social SciencesIndian Institute of Technology BombayMumbaiIndia
  3. 3.Prof. K.V. Sarma Research Foundation ChennaiIndia
  4. 4.Centre for Policy Studies ChennaiIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-6814-0
  • Copyright Information Springer Nature Singapore Pte Ltd. 2018 and Hindustan Book Agency 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-10-6813-3
  • Online ISBN 978-981-10-6814-0
  • Series Print ISSN 2196-8810
  • Series Online ISSN 2196-8829
  • Buy this book on publisher's site