Laghu Mānasa Vyākhyā – a 17th century astronomy manuscript in Kannaḍa

IF 1.1 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
B. S. Shylaja, R. Punith
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引用次数: 0

Abstract

We have studied two manuscripts as commentaries called Laghu Mānasa Vyākhyā and titled grahaṇānayanam. Our attempts to decipher the contents have revealed that they are commentaries in Sanskrit (the script is Kannada) on the 9th century manuscript called Laghu Mānasa by Munjalācarya. These two manuscripts have solved examples of eclipses of śaka 1528 (1606CE) and 1549 (1627CE); the procedure gives all the details to get the mean positions of the Sun, the Moon, and the nodes and subsequently, the timings and magnitude of eclipses. The first text is incomplete; the second has complete calculations. With the details provided for the procedure, we find that the method for finding the sine is unique and differs from that of Bhaskarācārya and Ganeśha Daivajnya. We present the calculations, verify them, and compare them with online software computations. The agreement is within the error limits of observations.

Abstract Image

Abstract Image

Laghu Mānasa Vyākhyā--康纳达 17 世纪天文学手稿
我们研究了两份手稿注释,分别名为 Laghu Mānasa Vyākhyā 和 grahaṇānayanam。我们试图破译这些手稿的内容,发现它们是对 9 世纪芒贾拉卡里亚(Munjalācarya)所作的名为《Laghu Mānasa》的手稿的梵文注释(字体为卡纳达语)。这两份手稿分别解答了希卡 1528 年(公元 1606 年)和 1549 年(公元 1627 年)的食相;解答过程提供了获得太阳、月亮和交点平均位置的所有细节,以及食相的时间和大小。第一个文本不完整,第二个文本则有完整的计算。根据所提供的程序细节,我们发现求正弦的方法是独一无二的,与巴斯卡卡里亚(Bhaskarācārya)和伽涅斯哈-戴瓦吉尼亚(Ganeśha Daivajnya)的方法不同。我们介绍了计算结果,对其进行了验证,并与在线软件计算结果进行了比较。两者的吻合度在观测误差范围之内。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Astrophysics and Astronomy
Journal of Astrophysics and Astronomy 地学天文-天文与天体物理
CiteScore
1.80
自引率
9.10%
发文量
84
审稿时长
>12 weeks
期刊介绍: The journal publishes original research papers on all aspects of astrophysics and astronomy, including instrumentation, laboratory astrophysics, and cosmology. Critical reviews of topical fields are also published. Articles submitted as letters will be considered.
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