Monday, October 29, 2012
Scientist Aryabhatta
Aryabhata was born in Taregna (literally, song of the stars), which is a small town in Bihar, India, about 30 km (19 mi) from Patna (then known as Pataliputra), the capital city of Bihar State. Evidences justify his birth there. In Taregna Aryabhata set up an Astronomical Observatory in the Sun Temple 6th century.
Aryabhatta studied at the University of Nalanda. One of his major works was Aryabhatiya written in 499 AD. His book aryabhatiya covers astronomical and mathematical theories in which the earth was taken to be spinning on its axis and the periods of the planets were given with respect to the sun. Aryabhatta believes that the moon and planets shine by reflected sunlight and he also believes that the orbits of the planets are ellipses. He correctly explains the causes of eclipses of the Sun and the Moon. His value for the length of the year at 365 days 6 hours 12 minutes 30 seconds is remarkably close to the true value which is about 365 days 6 hours. In this book, the day was reckoned from one sunrise to the next, whereas in his Aryabhata-siddhanta he took the day from one midnight to another. There was also difference in some astronomical parameters.
Aryabhata is the author of several treatises on mathematics and astronomy, some of which are lost. His major work, Aryabhatiya, a compendium of mathematics and astronomy, was extensively referred to in the Indian mathematical literature and has survived to modern times. The mathematical part of the Aryabhatiya covers arithmetic, algebra, plane trigonometry, and spherical trigonometry. It also contains continued fractions, quadratic equations, sums-of-power series, and a table of sines.
Aryabhatta was the first to explain how the Lunar Eclipse and the Solar Eclipse happened. Aryabhatta also gave close approximation for Pi. In the Aryabhatiya, he wrote-“Add 4 to 100, multiply by 8, then add 62000 and then divided by 20000. The result is approximately the circumference of a circle of diameter twenty thousand. By this rule the relation of the circumference to diameter is given.” In other words, p ~ 62832/20000= 3.1416, correct to four rounded – off decimal places. Aryabhatta was the first astronomers to make an attempt at measuring the earth’s circumference. Aryabhata accurately calculated the earth’s circumference as 24835 miles, which was only 0.2 % smaller than the actual value of 24,902 miles. This approximation remained the most accurate for over a thousand years.
Aryabhatiya was translated into Latin in the 13th century. Through this translation, European mathematician got to know methods for calculating the areas of triangles, volumes of spheres as well as square and cube root. Aryabhatta’s ideas about eclipses and the sun being the sources of moonlight may not have caused much of an impression on European astronomers as by then they had come to know of these facts through the observations of Copernicus and Galileo. Considering that Aryabhatta discovered these facts 1500 years ago, and 1000 years before Copernicus and Galileo makes him an early pioneer of this field. Aryabhatta – Siddhanta were reliable for practical purpose of fixing the Panchanga (Hindu Calendar) .
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