retrograd.io
 
Indian · 499 CE

Āryabhaṭīya

In the Kālakriyāpāda, Āryabhaṭa gives each planet two epicycles: the smaller manda ('slow'), for the equation of centre, and the larger śīghra ('fast'), for its anomaly relative to the Sun. Their combined corrections give true longitudes, and the śīghra correction is what produces retrograde arcs and stations. Unlike Ptolemy's fixed epicycles, his vary in size with position.

Author
Āryabhaṭa
Date
499 CE
Original language
Sanskrit
Kind
Mathematical astronomy
Planets
Mercury, Venus, Mars, Jupiter, Saturn
On the shelf · Asia, Islam and medieval Europe · 11−1800 → 2026
−1800−1500−1000−5001500100015002026
Date · 499 CESame shelf

Editions

2 editions.

YearEdition©
1930Clark, Walter Eugene (trans.). The Āryabhaṭīya of Āryabhaṭa: An Ancient Indian Work on Mathematics and Astronomy. Chicago: University of Chicago Press, 1930.PD
1976Shukla, K. S. and K. V. Sarma (eds./trans.). Āryabhaṭīya of Āryabhaṭa. New Delhi: Indian National Science Academy, 1976.©
PD public domain · © in copyright

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Myths we don’t repeat

Checked, and left out.

  1. Myth 01

    Not a heliocentric explanation of retrograde motion: Āryabhaṭa's model is geocentric, with a rotating Earth.

References

Also on the Asia, Islam and medieval Europe shelf

DateSourcePlanetsKind
c. 100–90 BCEShiji, Treatise on the Celestial OfficesSima QianMa JuAstrological
System c. 1st century BCE – early 1st century CE; Hanshu compiled c. 58–111 CESantong li: the Five StepsLiu XinMe Ve Ma Ju SaMath. astronomy
compiled c. 58–111 CEHanshu, Treatise on Celestial PatternsBan GuVe MaAstrological
c. 6th century CEBṛhat Saṃhitā, ch. 6: the course of MarsVarāhamihiraMaAstrological
c. 900 CE (observations 877–918)al-Zīj al-Ṣābiʾal-BattānīMe Ve Ma Ju SaMath. astronomy
c. 1025–1028 CEDoubts concerning PtolemyIbn al-HaythamGeneralTheory / model