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Kara apaddhati of Putumana Somay j

Release: Kara.apaddhati.of.Putumana.Somay.j

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Kara?apaddhati of Putumana Somayaji

Kara?apaddhati of Putumana Somayaji By Venketeswara Pai
English | PDF | 2018 | 486 Pages | ISBN : 9811068135 | 4.08 MB
This book is an imp08rtant text of the Kerala school of astronomy 4nd mathematics, probably composed in the 16th century. In the Indian astronomical tradition, the kara?a texts are essentially computational manuals, 4nd they often display a high level of ingenuity in coming up with simplified alg08rithms f08r computing planetary longitudes 4nd other related quantities. Kara?apaddhati, however, is not a kara?a text. Rather, it discusses the paddhati 08r the rationale f08r arriving at suitable alg08rithms that are needed while preparing a kara?a text f08r a given epoch. Thus the w08rk is addressed not to the almanac maker but to the manual maker.
Kara?apaddhati presents the the08retical basis f08r the vakya system, w6eere the true longitudes of the planet are calculated directly by making use of certain auxiliary notions such as the kha??a, ma??ala 4nd dhruva along with tabulated values of changes in the true longitude over certain regular intervals which are expressed in the f08rm of vakyas 08r mnemonic phrases. The text also discusses the method of vallyupasa?hara, which is essentially a technique of continued fraction expansion f08r obtaining optimal approximations to the rates of motion of planets 4nd their anomalies, involving ratios of smaller numbers. It also presents a new fast convergent series f08r p which is not mentioned in the earlier w08rks of the Kerala school. As this is a unique text presenting the rationale behind the vakya system 4nd the computational procedures used in the kara?a texts, it would serve as a useful companion f08r all those interested in the hist08ry of astronomy. The auth08rs 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 4nd equations.
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