Computational Astronomy, Indian Mathematics, History of Astronomy
11
Scopus Publications
34
Scholar Citations
3
Scholar h-index
1
Scholar i10-index
Scopus Publications
THE SALUTARY SIMPLIFICATIONS IN ASTRONOMICAL PROCEDURES BY GAṆEŚA DAIVAJÑA Chetana M. Banuvalli, S.K. Uma, Padmaja Venugopal, K. Rupa, S. Balachandra Rao Journal of Astronomical History and Heritage, 2025 : Gaṇeśa Daivajña is one of the great luminaries of post–Bhāskara period who is responsible for upholding the great tradition of Indian astronomy and Mathematics through his very creative and popular works. Gaṇeśa has simplified the procedures of computations of planetary positions and eclipses by completely dispensing with trigonometric functions, without sacrificing the correctness of the results. These procedures are otherwise laborious by the traditional methods. For this reason, even today, his works are famous among pañcāṅga makers in most parts of India. This paper presents the special features of his popular text Grahalāghava and its computational effectiveness in the calculations of planetary positions and eclipses.
A STUDY OF THE OCCULTATIONS OF ROHIṆĪ (ALDEBARAN) IN CLASSICAL INDIAN ASTRONOMY K.S. Mahesh, K. Rupa, Padmaja Venugopal, S. Balachandra Rao Journal of Astronomical History and Heritage, 2023 In Indian classical astronomy, the <italic>Siddhāntic</italic> texts discuss in detail conjunctions of the Sun, the Moon, the planets and important stars like <italic>Rohiṇī</italic> (Aldebaran), <italic>Tiṣya</italic> or <italic>Puṣya</italic> (δ Cancri), <italic>Citrā</italic> (Spica), <italic>Jyeṣṭhā</italic> (Antares), <italic>Makhā</italic> (Regulus) etc. The star <italic>Rohiṇῑ</italic> is given prominence, and in this paper we discuss the circumstances required for an occultation of <italic>Rohiṇῑ</italic> to occur, historical examples of such occultations and the periodicity of <italic>Rohiṇῑ</italic> occultations.
THE EQUATION OF THE CONJUNCTION (ŚĪGHRAPHALA) OF THE PLANETS IN CLASSICAL INDIAN ASTRONOMY Padmaja Venugopal, K. Rupa, S.K. Uma, S. Balachandra Rao Journal of Astronomical History and Heritage, 2023 : In classical Indian Astronomy the true positions of the five planets are determined by repeatedly applying two equations, viz the equation of centre ( mandaphala ) and the equation of conjunction ( śīghraphala ). In the present paper we concentrate on the equation of conjunction ( śīghraphala ). Here, conjunction refers to the conjunction of a planet with the Sun, considering the ‘anomaly’ of their mean positions. In this process the concepts involved are the śīghra anomaly ( śīghrakendra ), śīghraparidhi (periphery) and the śīghrakarņa (hypotenuse).
REFERENCES TO ‘PARALLEL PHENOMENON’ IN INDIAN ASTRONOMY AND INSCRIPTIONS K. Rupa, S.K. Uma, Padmaja Venugopal, S. Balachandra Rao Journal of Astronomical History and Heritage, 2023 In the present paper we discuss briefly an interesting astronomical event called "Parallel phenomenon" or "Parallel aspect" in astronomical sciences. Besides explaining this phenomenon, we provide interesting historical Indian references recorded in classical astronomical texts and also in some old inscriptions.
IMPORTANCE OF BHĀSKARA’S KARAṆAKUTŪHALA AS AN ALGORITHMIC HANDBOOK K. Rupa, Padmaja Venugopal, Anita Udagatti, S.K. Uma, S. Balachandra Rao, K. Rupa, Padmaja Venugopal, Anita Udagatti, S.K. Uma, S. Balachandra Rao Journal of Astronomical History and Heritage, 2022 In the current paper we have presented the procedures according to the <italic>Karaṇakutūhala</italic> of Bhāskara II (b. CE 1114) for (i) <italic>śīgraphala</italic> ('equation of conjunction’) of the five planets and their maximum values and critical points; (ii) retrograde motion and the analysis of two stationary points for each planet; and (iii) the angular diameters of the Sun, the Moon and the Earth’s shadow cone which are necessary for the computations of eclipses.
Diameters (bimbas) of the Sun, Moon And Earth’s Shadow-cone in Indian Astronomical Texts, With Special Reference to The Makarandasāriṇῑ and the Gaṇakānanda Journal of Astronomical History and Heritage, 2021
Transits and occultations in indian astronomy S. Balachandra Rao, Padmaja Venugopal, K. Rupa Astrophysics and Space Science Proceedings, 2019 In the present paper the procedures for transits and occultations as per the Indian texts are discussed. The algorithms used during various periods are compared with the Improved Siddhantic procedures (ISP) devised by the authors in the light of modern formulae.
Indian astronomical tables of the saura paddhati – In historical perspective Padmaja Venugopal, K. Rupa, S. Balachandra Rao Astrophysics and Space Science Proceedings, 2019 The period including the latter half of the fifteenth century and the earlier half of the sixteenth century witnessed a big resurgence in the development of astronomy, not only in Europe but also in India. In Europe we had great pioneers like Galileo, Copernicus and Tycho Brahe, the illustrious galaxy being crowned by Johannes Kepler (1571–1630) a little later.
An historical perspective on lunar occultations of stars: Periodicity and circumstances K. Rupa, Padmaja Venugopal, S. Balachandra Rao Astrophysics and Space Science Proceedings, 2019 In Indian astronomical texts, generally the lunar occultation of particular stars, like Makhā (Regulus), Citrā (Spica), Rohiṇi (Aldebaran) and Jyesṭhā (Antares), are considered important. In this paper, a study of the phenomenon of a lunar occultation and the periodicity of this phenomenon are discussed. Actual circumstances of some occultations of stars cited by earlier authors and also recordings inscribed on stone are worked out.
THE CONCEPTS OF DEŚĀNTARA AND YOJANA IN INDIAN ASTRONOMY Padmaja Venugopal, K. Rupa, S.K. Uma, S. Balachandra Rao Journal of Astronomical History and Heritage, 2019 In this paper we discuss in detail the concepts of (i) the <italic>deśāntara</italic> correction to the mean longitude of a heavenly body, and (ii) the linear distance, called <italic>yojana</italic>. We consider the definitions and procedures given in classical Indian astronomical texts like the <italic>Ārybhaṭīyam, Brāhmasphuţasiddhānta, Khaṇdakhādyaka, Laghu- Mahā- Bhāskarīya, Siddhānta Śiromaṇi, Grahalāghavam</italic> and <italic>Tantrasaṅgraha</italic>. From our findings we notice that there were apparently two distinct schools (<italic>paksas</italic>), which were led by Ārybha a (b. CE 476) and Brahmagupta (ca. 628), who used 1050 and 1581 <italic>yojana</italic>, respectively, for the diameter of the Earth.
DR. S. BALACHANDRA RAO–THE GUIDING STAR OF INDIAN ASTRONOMY P Venugopal, K Rupa, SK Uma Journal of Astronomical History and Heritage 28 (1), 785-786 , 2025 2025
The salutary simplifications in astronomical procedures by Gaṇeśa Daivajña BM Chetana, SK Uma, P Venugopal, K Rupa, SB Rao Journal of Astronomical History and Heritage 28 (1), 177-186 , 2025 2025
The equation of the conjunction (śīghraphala) of the planets in Classical Indian Astronomy P Venugopal, K Rupa, SK Uma, SB Rao Journal of Astronomical History and Heritage 26 (3), 637-658 , 2023 2023
A study of the occultations of Rohiṇῑ (Aldebaran) in Classical Indian Astronomy KS Mahesh, K Rupa, P Venugopal Journal of Astronomical History and Heritage 26 (3), 667-682 , 2023 2023
References to'parallel phenomenon'in Indian astronomy and inscriptions K Rupa, SK Uma, P Venugopal, SB Rao Journal of Astronomical History and Heritage 26 (2), 400-404 , 2023 2023
Geometry in Mahāvīrācārya’s Gaṇitasārasaṅgraha SB Rao, K Rupa, SK Uma, P Venugopal Mathematics in Ancient Jaina Literature, 119-138 , 2023 2023
Importance of Bhaskara’s Karanakutuhala as an algorithmic Handbook Journal of Astronomical History and Heritage 25 (4), 714-720 , 2022 2022
Importance of Bhāskara's Karaṇakutūhala as an algorithmic handbook K Rupa, P Venugopal, A Udagatti, SK Uma, SB Rao Journal of Astronomical History and Heritage 25 (4), 714-720 , 2022 2022
Diameters (bimbas) of the sun, moon and earth’s shadow-cone in indian astronomical texts, with special reference to the makarandasāriṇῑ and the gaṇakānanda SK Uma, P Venugopal, K Rupa, SB Rao Journal of Astronomical History and Heritage 24 (1), 159-169 , 2021 2021 Citations: 2
The concepts of deśāntara and yojana in Indian astronomy P Venugopal, K Rupa, SK Uma, S Balachandra Rao Journal of Astronomical History and Heritage 22 (3), 401-406 , 2019 2019 Citations: 1
Indian Astronomical Tables of the Saura Paddhati–In Historical Perspective P Venugopal, K Rupa, S Balachandra Rao The Growth and Development of Astronomy and Astrophysics in India and the … , 2019 2019
An Historical Perspective on Lunar Occultations of Stars: Periodicity and Circumstances K Rupa, P Venugopal, S Balachandra Rao The Growth and Development of Astronomy and Astrophysics in India and the … , 2019 2019
The solar ingress (Sankrānti) according to the Makarandasāriņī and other Indian astronomical texts SK Uma, K Rupa, SB Rao Journal of Astronomical History and Heritage 21 (2), 202-210 , 2018 2018 Citations: 3
An historical perspective on lunar occultations of stars: periodicity and circumstances BR Padmaja Venugopal 9th International Conference on oriental astronomy, 93-96 , 2018 2018
Transits and occultations in Indian astronomy PV Balachandra Rao 9th International Conference on Oriental Astronomy, 73-80 , 2018 2018 Citations: 14
Transits and occultations in Indian astronomy PVSBR K. Rupa History of Indian Astronomy A Handbook, 410-429 , 2016 2016
Lunar and solar eclipse procedures in Indian astronomy PVSBR K. Rupa History of Indian Astronomy- A Handbook, 379-409 , 2016 2016
Heliacal Rising of Canopus in Indian Astronomy PV S. Balachandra Rao, Rupa K Indian Journal of History of Science, 83-91 , 2016 2016 Citations: 2
Makarandasārinī and allied Saurapakșa tables‒a study K Rupa, P Venugopal, SB Rao Indian Journal of History of Science 49, 186-208 , 2014 2014 Citations: 9
(10) Makaranda Sarini and Allied Saurapakna Tables—A Study K Rupa, P Venugopal, SB Rao Indian National Science Academy , 2014 2014
MOST CITED SCHOLAR PUBLICATIONS
Transits and occultations in Indian astronomy PV Balachandra Rao 9th International Conference on Oriental Astronomy, 73-80 , 2018 2018 Citations: 14
Makarandasārinī and allied Saurapakșa tables‒a study K Rupa, P Venugopal, SB Rao Indian Journal of History of Science 49, 186-208 , 2014 2014 Citations: 9
The solar ingress (Sankrānti) according to the Makarandasāriņī and other Indian astronomical texts SK Uma, K Rupa, SB Rao Journal of Astronomical History and Heritage 21 (2), 202-210 , 2018 2018 Citations: 3
Diameters (bimbas) of the sun, moon and earth’s shadow-cone in indian astronomical texts, with special reference to the makarandasāriṇῑ and the gaṇakānanda SK Uma, P Venugopal, K Rupa, SB Rao Journal of Astronomical History and Heritage 24 (1), 159-169 , 2021 2021 Citations: 2
Heliacal Rising of Canopus in Indian Astronomy PV S. Balachandra Rao, Rupa K Indian Journal of History of Science, 83-91 , 2016 2016 Citations: 2
AN ANALYSIS OF THE MANDAPHALA TABLES OF MAKARANDA AND REVISION OF PARAMETERS PV BALACHANDRA RAO S, RUPA K Ganita Bharati 35, 221-240 , 2013 2013 Citations: 2
The concepts of deśāntara and yojana in Indian astronomy P Venugopal, K Rupa, SK Uma, S Balachandra Rao Journal of Astronomical History and Heritage 22 (3), 401-406 , 2019 2019 Citations: 1
Periodicity and Circumstances of Occultations of Some Bright Stars SBR K. Rupa, Padmaja Venugopal Research Journal of Applied Sciences, Engineering and Technology, 879-885 , 2014 2014 Citations: 1
DR. S. BALACHANDRA RAO–THE GUIDING STAR OF INDIAN ASTRONOMY P Venugopal, K Rupa, SK Uma Journal of Astronomical History and Heritage 28 (1), 785-786 , 2025 2025
The salutary simplifications in astronomical procedures by Gaṇeśa Daivajña BM Chetana, SK Uma, P Venugopal, K Rupa, SB Rao Journal of Astronomical History and Heritage 28 (1), 177-186 , 2025 2025
The equation of the conjunction (śīghraphala) of the planets in Classical Indian Astronomy P Venugopal, K Rupa, SK Uma, SB Rao Journal of Astronomical History and Heritage 26 (3), 637-658 , 2023 2023
A study of the occultations of Rohiṇῑ (Aldebaran) in Classical Indian Astronomy KS Mahesh, K Rupa, P Venugopal Journal of Astronomical History and Heritage 26 (3), 667-682 , 2023 2023
References to'parallel phenomenon'in Indian astronomy and inscriptions K Rupa, SK Uma, P Venugopal, SB Rao Journal of Astronomical History and Heritage 26 (2), 400-404 , 2023 2023
Geometry in Mahāvīrācārya’s Gaṇitasārasaṅgraha SB Rao, K Rupa, SK Uma, P Venugopal Mathematics in Ancient Jaina Literature, 119-138 , 2023 2023
Importance of Bhaskara’s Karanakutuhala as an algorithmic Handbook Journal of Astronomical History and Heritage 25 (4), 714-720 , 2022 2022
Importance of Bhāskara's Karaṇakutūhala as an algorithmic handbook K Rupa, P Venugopal, A Udagatti, SK Uma, SB Rao Journal of Astronomical History and Heritage 25 (4), 714-720 , 2022 2022
Indian Astronomical Tables of the Saura Paddhati–In Historical Perspective P Venugopal, K Rupa, S Balachandra Rao The Growth and Development of Astronomy and Astrophysics in India and the … , 2019 2019
An Historical Perspective on Lunar Occultations of Stars: Periodicity and Circumstances K Rupa, P Venugopal, S Balachandra Rao The Growth and Development of Astronomy and Astrophysics in India and the … , 2019 2019
An historical perspective on lunar occultations of stars: periodicity and circumstances BR Padmaja Venugopal 9th International Conference on oriental astronomy, 93-96 , 2018 2018
Transits and occultations in Indian astronomy PVSBR K. Rupa History of Indian Astronomy A Handbook, 410-429 , 2016 2016
