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Transits and Occultations in Indian Astronomy

  • S. Balachandra Rao
  • Padmaja Venugopal
  • K. Rupa
Conference paper
Part of the Astrophysics and Space Science Proceedings book series (ASSSP, volume 54)

Abstract

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.

Bibliography

Sanskrit Works

  1. Āryabhatīyam of Āryabhaṭa I. (1) Cr. Ed. and trans. with notes by K.S. Shukla and K.V. Sarma, (2) with Nīlakaṇṭha Somasutvan’s com., edited and published (in 3 parts), K. Sambasivasastri, Trivandrum, 1977 (Reprint).Google Scholar
  2. Gaṇakataraṅgiṇī of Sudhakara Dvivedi – Ed. by Sadananda Shukla, Varanasi, 1986.Google Scholar
  3. Gaṇita – Yukti – Bhāṣā of Jyeṣṭadeva, vol. I & II, Ed. with Eng. tr. by K.V. Sarma, Expl. notes by K. Ramasubramanian, M.D. Srinivas and M.S. Sriram, Hindustan Book Agency (India), New Delhi, 2008.Google Scholar
  4. Gaṇitasārasaṅgraha of Mahāvīrācārya – (1) Ed. with Eng. tr. by M. Rangacharya, Madras, 1912, (2) Hindi tr. by L.C. Jain, Sholapur, 1963, (3) with Eng. tr. by M. Rangacharya and Kannada tr. by Padmavathamma, Sri Hombuja Jain Math, Shimoga Dt., Karnataka, 2000.Google Scholar
  5. Goladīpikā of Parameśvara – Ed. with Intr., tr. and notes by K.V.Sarma Madras, 1956–57.Google Scholar
  6. Grahalāghavam of Gaṇeśa Daivajña – (1) With com. of Viśvanātha and Mādhurī Sankrit / Hindi com. by Yugesvara Jha Sastri, Benares, 1946, (2) with com. of Mallāri and Viśvanātha and Hindi com. by Kedarnath Joshi, Motilal Banarsidass, Varanasi, 1981, (3) with Eng. exposition, explanatory math. notes, examples, tables, appendices, bibliography (2006), INSA, New Delhi, 2006–07, (4) with Kannada tr. Grahagaṇita by Dr S Balachandra Rao and Rd. S.K. Uma, Bhavan’s Gandhi Centre of Science and Human Values, R.C. Rd., Bangalore – 1, 2010.Google Scholar
  7. Jyatirmīmāmsā of Nīlakaṇṭha Somayāji – Ed. with cr. Intr. and app. by K.V. Sarma, V.V.B.I.S.& I.S., Hosihiarpur, 1977.Google Scholar
  8. .Jyotirgaṇitam by Venkaṭeśa Ketkaṙ, Bijapur, 1938.Google Scholar
  9. Karaṇakutūhalam of Bhāskara II – (1) With Gaṇaka-kumuda-kaumudī com. of Sumatiharṣa and Vā-sanā vibhūṣaṇa com. of Sudhakara Dvivedi and Hindi tr. by Dr Satyendra Mishra, Varanasi, 1991, (2) with Gaṇaka- kumuda-kaumudī com. of Sumatiharṣa, Bombay, 1989, (3) with Eng. tr., math. notes, examples, tables, appendices, bibliography and original text in Roman script by Dr S Balachandra Rao and Rd. S.K. Uma, IJHS, &3 (2008), INSA, New Delhi, 2008.Google Scholar
  10. Ketakīgrahagaṇitam by Veṅkaṭeśa Ketkar, Bijapur, 1930.Google Scholar
  11. Khaṇḍakhādyakam of Brahmagupta – (1) Ed. with com. of Caturveda Parthūdakasvāmin by P.C. Sengupta, Calcutta, 1941; Eng, tr. by P.C. Sengupta, Calcutta, 1934, (2) with com. of Bhaṭṭotpala – Ed. and Eng. tr. by K.S. Shukla, Lucknow, 1963.Google Scholar
  12. Laghumābhāskarīyam of Bhāskara I – Ed. and tr. by K.S. Shukla, Lucknow, 1963.Google Scholar
  13. Laghumānasam of Mañjula – Critical study, tr. and notes by Kripa Shankar Shukla, I.J.H.S. vol 25, Nos. 1-4, New Delhi, 1990.Google Scholar
  14. Mahābhāskarīyam of Bhāskara I – (1) Cr. ed with Bhāṣya of Govindasvāmin and super com. Siddhāntadīpikā of Parameśvara by T.S. Kuppanna Sastri, Madaras, 1957, (2) Ed. with tr., notes and comments by Kripa Shankar Shukla, Lucknow, 1960.Google Scholar
  15. Pañcasiddhāntikā of Varahāmihira – (1) Ed. with Sanskrit com. and Eng. tr. by G. Thibaut and S. Dvivedi, Reprint, Reprint, Motilal Banarsidass, 1930, (2) Text, tr. and notes (2 parts) by O. Neugebauer and D. Pingree, Copenhagen, 1971, (3) With tr. and notes of Prof T.S. Kuppanna Sastri, cr ed. by K.V. Sarma. P.P.S.T. Foundation, Madras, 1993.Google Scholar
  16. Siddhānta darpaṇaḥ of Sāmanta Candraśekhara Simha, (1) Indian Depository, Calcutta, 1899, (2) with Eng. tr. & Hindi tr. by Arun Kumar Upadhyaya, Nag Publishers, Delhi, 1998 and 1996.Google Scholar
  17. Siddhāntadarpaṇam of Nīlakaṇṭha Somayāji with autocom., cr. ed. with Intr., tr. and app. by K.V. Sarma, V.V.B.I.S. & I.S., Hoshiarpur, 1976.Google Scholar
  18. Siddhāntaśiromani of Bhāskara II – (1) With Bhāskara’s autocom. Vāsanā Ed. by Sudhakara Dvivedi, Kashi Sanskrit Series, No. 72, Benaras, 1929, (2) with Prabhā vāsanā com. by Muralidhara Thakur. Kashi Sanskrit Series, No. 149, Benaras, 1950, (3) Ed. by Bapudeva Sastri and revised by Ganapati Deva Sastri, 2nd ed, 1989, (4) Eng. exposition by D. Arkasomayaji, Kendriya Sanskrit Vidyapeetha, Tirupati, 1980.Google Scholar
  19. Sphuṭacandrāptih of Mādhava of Saṅgamagrāma – Cr. ed. with Intr., tr. and notes by K.V. Sarma, V.V.R.I., Hoshiarpur, 1973.Google Scholar
  20. Sūryasiddhānta – (1) Tr. by Rev. E. Burgess, Ed. by Phanindralal Gangooly with Intr. by P.C. Sengupta, Motilal Banarsidass, Delhi, 1989, (2) Ed. with com. of Parameśvara by Kripa Shankar Shukla, Lucknow, 1957 and (3) Ed. with Vijñāna Bhāsya in Hindi by Mahavirprasad Srivastava, Dr Ratnakumari Svadhyaya Samsthana, Allahabad, 1983.Google Scholar
  21. Tantrsaṅgraha of Nīlakaṇṭha Somayāji (1) With Yuktidīpikā and Laghuvivṛti com. of Śaṅkara, Cr. ed. with intr. and app. by K.V. Sarma, V.V.B.I.S. & I.S., Hoshiarpur, 1983. (2) with Eng. tr. and notes by K. Ramasubramanian and M.S. Sriram, Hindustan Book Agency (India), New Delhi, 2011.Google Scholar
  22. Tithicintāmaṇi of Gaṇeśa Daivajña – with com. of Viśvanātha, ed. by D.V. Apte, Poona, 1942.Google Scholar
  23. Vākyapañcādhyāyī, Cr. ed. by T.S. Kuppanna Sastri and K.V. Sarma, K.S.R. Inst., Madras, 1962Google Scholar

Works in English

  1. Balachandra Rao, S., Venugopal, P., 2008. Eclipses in Indian Astronomy. Bangalore, Gandhi Centre of Science & Human Values.Google Scholar
  2. Balachandra Rao, S., Venugopal, P., 2009. Transit and Occultations in Indian Astronomy. Bangalore, Gandhi Centre of Science & Human Values.Google Scholar
  3. Balachandra Rao, S., Uma, S.K., and Venugopal, P., 2008. Conjunction transits and occultation by Siddhāntic procedures. Indian Journal of History of Science, 43, 51-551.Google Scholar
  4. Chauvenet, W.A., 1960. A Manual of Spherical and Practical Astronomy, Volume 1. New York, Dover (Reprint).Google Scholar
  5. Espenak, F., 1989. Fifty Year Canon of Solar Eclipses, 1986–2035. Washington (D.C.), NASA.Google Scholar
  6. Kapoor, R.C., 2013a. Did Ibn Sīnā observe the transit of Venus 1032 AD? Indian Journal of History of Science, 48, 405–445.Google Scholar
  7. Kapoor, R.C., 2013b. Indian astronomy and the transits of Venus. 1: The early observations. Journal of Astronomical History and Heritage, 16, 269–286.ADSGoogle Scholar
  8. Kapoor, R.C., 2014. Indian astronomy and the transits of Venus. 2: the 1874 event. Journal of Astronomical History and Heritage, 17, 113–135.ADSGoogle Scholar
  9. Maunder, M., and Moore, P., 2001. Transit: When Planets Cross the Sun. London, Springer.Google Scholar
  10. Meeus, J., 1989. Elements of Solar Eclipses: 1951–2200. Richmond (Virginia), Willman-Bell.Google Scholar
  11. Montelle, C., 2011. Chasing Shadows. Baltimore, Johns Hopkins University Press.zbMATHGoogle Scholar
  12. Pape, C.F., 1861. Beobachtung des Mercur-Durch-ganges am 11. Novbr. 1861 auf der Altonaer Sternwarte. Astronomische Nachrichten, 56, 239240.Google Scholar
  13. Pigatto, L., and Zanini, V., 2001. Spectroscopic observations of the 1874 transit of Venus: the Italian party at Muddapur, eastern India. Journal of Astronomical History and Heritage, 4, 43–58.ADSGoogle Scholar
  14. Ramasubramaniam, K., Srinivas, M.D., Sriram, M.S., 1994. Modification of the earlier Indian planetary theory by the Kerala astronomers and the implied heliocentric picture of planetary motion. Current Science, 66, 784–790.Google Scholar
  15. Rathnasree, N., and Sanat, K., 2004. 1874 transit observations of A.V. Narsinga Rao at Visakhapatnam. Indian Journal of History of Science, 39, 231236.Google Scholar
  16. Rathnasree, N., Shylaja, B.S., Kaidala, G., and Mukk-erjee, A., 2012. A search for records of planetary transits prior to the colonial period. Current Science, 103, 95–97.Google Scholar
  17. Shylaja, B.S., 1977. Eclipse – A Celestial Shadow Play. Cambridge, BASE and University Press.Google Scholar
  18. Shylaja, B.S., 2012. Chintamani Ragoonatha Charry and Contemporary Indian Astronomy. Bangalore, Bangalore Association for Science Education and Navakarnataka Publications.Google Scholar
  19. Srinivas, M.D., 1990. Indian approach to science: the case of Jyotiśśāstra. Patriotic & People Oriented Science & Technology Foundation Bulletin, 1920, 69–76.Google Scholar
  20. Sriram, M.S., Ramasubramaniam, K., Srinivas, M.D., (eds.), 2002. 500 Years of Tantrasangraha: A Land-mark in the History of Astronomy. Shimla, Indian Institute of Advanced Studies.Google Scholar
  21. Venugopal, P., 1995. True positions of planets in Indian astronomy. Paper presented at the National Symposium, B.M. Birla Science Centre, Hyderabad, September 1995.Google Scholar
  22. Venugopal, P., 1996. Eclipses in Siddhantas, Paper presented at the seminar on “Sanskrit – Source of Science”, Mangalore, 19–20 November 1996.Google Scholar

Copyright information

© Hindustan Book Agency 2018 and Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • S. Balachandra Rao
    • 1
  • Padmaja Venugopal
    • 2
  • K. Rupa
    • 3
  1. 1.Department of Mathematics, Gandhi Centre of Science and Human ValuesBharatiya VidyaBhavanBangaloreIndia
  2. 2.Department of MathematicsSJB Institute of TechnologyBangaloreIndia
  3. 3.Department of MathematicsGlobal Academy of TechnologyBangaloreIndia

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