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Bharatiya Jyotihshastra (History of Indian Astronomy), translated by R. V. Vaidya v2.c12.s3.7

Bhāratīya Jyotiḥśāstra (History of Indian Astronomy), translated by R. V. Vaidya v2.c12.s3.7

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v2.c12.s3.7

All the siddhānta's except the first Ārya-Siddhānta, give the same daily motion, in yojanas, to the planets. Still, as the number of days in the Kalpa vary with each siddhānta, the length of the celestial orbit and those of the planets also differ by a small quantity. It would be of no use to give all these figures, since they contain very little truth. Most of the data are merely imaginary. The moon's orbit, however, has not been determined by imagination. There is a great degree of truth in it. The length of 1' arc of moon's orbit in its plane, has been assumed to be equal to 15 yojanas by all except Āryabhaṭa I. Hence the length of the complete orbit comes to (360 × 60 × 15) = 324000 yojanas; and the mean radius vector of the orbit comes to 51566 yojanas. This is the moon's distance from the Earth. The radius of the Earth, according to the Sūrya Siddhānta, is 800 yojanas; hence, the moon's distance from the Earth is 64.46 times earth's radius. According to modern discoveries it is 50.96 times earth's radius. The distance of the moon from the earth and its orbital length, as determined by the authors of our siddhāntas are so very near the truth that they deserve to be congratulated on having been able to establish such a correct measure.

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