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  • An overview of the vākya method of computing the longitudes of the sun and moon 
    PAI, VENKETESWARA R.; Ramasubramanian, K.; Sriram, M.S.; Srinivas, M.D. (Indian Institute of Technology Bombay and Tata Institute of Fundamental Research, 2016)
  • Measurement of coordinates of Naksatras in Indian astronomy 
    PAI, VENKETESWARA R.; Shylaja, B. S. (Indian Academy of Sciences, 2016-11)
    It is well known that ancient Indian calendar dwelled on the 27 nak?atra system for fixing the positions of the sun, moon and the planets. Several attempts to identify these 27 stars in the sky have yielded very precise ...
  • Candravākyas of Mādhava 
    PAI, VENKETESWARA R.; Ramasubramanian, K.; Srinivas, M.D.; Sriram, M.S. (Indian Society for History of Mathematics, 2016-12)
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  • Karanapaddhati of Putumana Somayājī: With Translation and Explanatory Notes 
    PAI, VENKETESWARA R.; Ramasubramanian, K.; Sriram, M. S.; Srinivas, M. D. (Hindustan Book Agency, 2017)
    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 ...
  • Madhyāhnakālalagna in Karaṇapaddhati of Putumana Somayājī 
    PAI, VENKETESWARA R.; Sriram, M. S . (Indian Society for History of Mathematics, 2017-01)
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  • Coding the encoded: automatic decryption of kaTapayAdi and AryabhaTa’s systems of numeration 
    Anusha, R.; Nithya, C.; PAI, VENKETESWARA R.; Ramanathan, V. (Indian Academy of Sciences, 2017-02)
    AryabhaTa’s and kaTapayAdi systems of encoding numbers in Sanskrit words have been in vogue since antiquity in Indian science. The process of decryption and decoding such numbers from the verses has been achieved only ...
  • Stars as recorded in Indian texts 
    Shylaja, B. S.; PAI, VENKETESWARA R. (Tata Institute of Fundamental Research, 2018)
  • Karaṇapaddhati of Putumana Somayājī 
    PAI, VENKETESWARA R.; Ramasubramanian, K.; Sriram, M.S.; Srinivas, M.D. (Springer, 2018)
    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 ...
  • Ascendent at the meridian transit 
    PAI, VENKETESWARA R.; Ramasubramanian, K.; Sriram, M. S.; Srinivas, M. D. (Springer Nature, 2018-03)
    The ascensional difference (cara) and the prāṇakalāntara are to be applied to the [longitude of the] end of the desired zodiacal sign (rāśyanta) which is corrected for the movement of equinox (ayanacalana). The result thus ...
  • Computation of the khaṇḍa, dhruva, etc. of the Moon 
    PAI, VENKETESWARA R.; Ramasubramanian, K.; Sriram, M. S.; Srinivas, M. D. (Springer Nature, 2018-03)
    Let the heap of days (dharādinaugha), and the difference in the revolutions of the Moon and its apogee be mutually divided. Then, from these results, the guṇakāras and hārakas associated with the Moon’s anomaly (candra-kendra) ...
  • Gnomonic shadow 
    PAI, VENKETESWARA R.; Ramasubramanian, K.; Sriram, M. S.; Srinivas, M. D. (Springer Nature, 2018-03)
    The hypotenuse of the gnomon (palaśruti) is obtained by taking the square root of the sum of 144 (bhavaka) and the square of the mid-day shadow [of the gnomon] on the equinoctial day (viṣuvaddina).1 The mid-day shadow on ...
  • Examination of the revolution numbers etc. 
    PAI, VENKETESWARA R.; Ramasubramanian, K.; Sriram, M. S.; Srinivas, M. D. (Springer Nature, 2018-03)
    Based on a thorough examination of the position of the planets at the time of eclipses, planetary conjunctions, and so on, the revolution numbers etc. [of the planets] in a kalpa have to be conceived of for achieving ...
  • Obtaining smaller guṇas and hāras 
    PAI, VENKETESWARA R.; Ramasubramanian, K.; Sriram, M. S.; Srinivas, M. D. (Springer Nature, 2018-03)
    The product of 200 (jñānīndra) and the [śakābda]-guṇakāras, beginning with dhana (9), has to be added to or subtracted from the product of the [śakābda]-hāras [of the planets], beginning with manda (85), and their respective ...
  • Obtaining the Right Ascension, etc. 
    PAI, VENKETESWARA R.; Ramasubramanian, K.; Sriram, M. S.; Srinivas, M. D. (Springer Nature, 2018-03)
    Here the author emphasizes the importance of actual observations of the celestial objects through the measurement of their shadows etc. in determining their longitudes and latitudes. In the case of the Sun, the measurements ...
  • Relation between the circumference and the diameter and computation of Rsines 
    PAI, VENKETESWARA R.; Ramasubramanian, K.; Sriram, M. S.; Srinivas, M. D. (Springer Nature, 2018-03)
    May the diameter be multiplied by four, kept separately at several places, and divided by the odd numbers 3, 5, 7 etc. [The results] may be sequentially applied negatively and positively to the diameter multiplied by four. ...
  • Mean planets and the śakābdasaṃskāra 
    PAI, VENKETESWARA R.; Ramasubramanian, K.; Sriram, M. S.; Srinivas, M. D. (Springer Nature, 2018-03)
    May the guru, an embodiment of intelligence and bliss, keep ever rising in the space of my heart, like the Sun dispelling the darkness of ignorance.
  • Obtaining the hārakas for the planets 
    PAI, VENKETESWARA R.; Sriram, M. S.; Srinivas, M. D. (Springer Nature, 2018-03)
    The above verse defines the mandakendrahārakas of the planets. It may be recalled that the mandakendra is the difference between the planet and its mandocca (apogee). The mandakendra-guṇakāras and the mandakendrahārakas ...
  • Obtaining the planetary longitudes 
    PAI, VENKETESWARA R.; Ramasubramanian, K.; Sriram, M. S.; Srinivas, M. D. (Springer Nature, 2018-03)
    The true epicycle Circumference in minutes (sphuṭavṛttakalās) of the Sun is 03 (gānam ) and that of the Moon is 07 (sthānam) always (in all the quadrants). The [dimensions of the] circumferences of the manda and the śīghra ...
  • Observational records of stars in Indian astronomical texts 
    Shylaja, B. S.; PAI, VENKETESWARA R. (Indian Academy of Sciences, 2018-08)
    In an effort to search observational records of stars in the Indian astronomical texts, we have compiled all bright stars in various texts from Sūryasiddhānta to Siddhāntadarpan̟a by Candraśekhara Sāmanta of the 19th ...
  • The Candrārkī of Dinakara: A Text Related to Solar and Lunar Tables 
    PAI, VENKETESWARA R.; Kolachana, Aditya et al. (Sage Publication, 2018-12)
    A set of tables devoted to the sun and the moon, titled the Candrārkī (“Related to the moon and sun”), was compiled in Sanskrit by Indian astronomer Dinakara along with a short accompanying text, intended to give guidance ...

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