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Zodiacal Circumference as Graduated in Jaina Astronomy

By Sajjan Singh Lishk, S. D. Sharma

Vol. 7 · No. 1-4April - 1978 to January - 1979pp. 91–106English

Summary

This technical paper analyses how Jain astronomers divided the celestial circle into quantifiable units. The authors explain that the Jambūdvīpaprajñapti describes the lunar zodiac as a series of twenty‑seven (or twenty‑eight) asterisms whose stretches are measured not in degrees but in muhurtas (each muhurta being forty‑eight minutes). According to the text, six of the naksatras combine with the Moon for fifteen muhurtas, another six for forty‑five muhurtas and the rest for thirty muhurtas each. A table is provided summarising the time‑values of each asterism and showing that the total for a naksatra month is 81 927 muhurtas, equivalent to the Moon’s sidereal revolution. The article demonstrates how these time units were used to graduate the zodiacal circumference and to compute the relative motions of the Sun and Moon during syzygies. Formulas are given for converting the lunar divisions into solar days and for determining the positions of the Sun and Moon at the end of a five‑year cycle. The authors argue that this system reflects a sophisticated understanding of cyclic time and that it predates similar developments in classical Indian astronomy. By comparing Jain values with those of other traditions, the paper suggests that the Jain scheme influenced later Siddhāntic astronomy. The study thus highlights the originality and precision of early Jain cosmography.

Summary reviewed by a volunteer editor.

Conclusion

By recasting celestial arcs in units of time rather than degrees, Jain astronomers created a unique model of the zodiac. The authors show that their graduation scheme allowed accurate prediction of lunar and solar positions over long cycles and may have informed subsequent astronomical traditions. The article demonstrates that Jain cosmology was both innovative and mathematically rigorous, challenging modern assumptions about the development of Indian astronomy.

Key passages

Chosen by AI from the article's text. Each one is checked word for word against the text before it is shown.

  • “Jainas first measured zodiacal stretches of naksatras (asterisms) into time degrees and included Abhijit (Lyrae) naksatra (asterism) to account for the discrepancy in lunar motion.”
  • “The two moons describe a maNdala (diurnal circle) of 109800 > parts in one junar sdyana day (moonrise to moonrise),”

Works cited in this article

  1. Dvivedi, Sudhakara (1906) Jyotiga Vedangam, V. 18, p. 14 (Varanasi)
  2. Sharma, S. D, and Lishk, S. S. ‘Time Units in Ancient Indian Astronomy,’ Tulsi Prajfid, Vol. 2 No. 7-8, pp. 100-108 (JVB, Ladnun)
  3. Bose, D, M., Sen, S. N and Subarayappa, B. V. (1971) A concise History of Science in India, p. 80 (INSA. New Delhi)
  4. Needham, J. and Wang, L, (1958), Science and Civilisation in China, Vol. 3. p. 228
  5. Jain, L. C, (1975), Kinematics of the Sun and the Moon in Tiloya Panpatti, Tulsi Prajtia, Vol. 1 No, 1. pp. 60-67 (JVB, Ladnun)

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Texts & works

  • Sarya Prajfiapti
  • Samavayaige SGtra
  • Muhtrta Cintamani
  • Jambddvipa Prajiapti

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