Wednesday December 19, 2018

Aryabhata: The man from Bihar who gave world the concept of modern day Mathematics

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By Prachi Mishra

Aryabhata was one of the first Indian mathematicians and astronomers belonging to the classical age. A pioneer in the field of mathematics, he went on to discover the digit 0.

He was born in 476 BC in Tarenaga, a town in Bihar, India. However, some sources mention that he belonged to Kerala.  He completed his education at the well-known ancient University of Nalanda, which is located near Kusumapura in the present Indian state of Bihar. Since the University had an observatory in its premises, it is conjectured that Aryabhata was the principal of the institute as well.

Work in the field of Mathematics

Aryabhata wrote the scholarly work Aryabhattiya at a young age of 23, which is a summary of mathematics of his time. The work is divided into four sections. In the first section, the method of denoting big decimal numbers by alphabets has been described. The second section comprises of questions from topics of modern day Mathematics, such as number theory, geometry, trigonometry and Beejganita (algebra). The remaining two sections are on astronomy.

The discovery of zero enabled him to find out the exact distance between the earth and the moon. It also exposed a new feature of negative numerals.

For the first time, he gave the approximate value of pi as 3.1416. He arrived at this value by calculating the approximate circumference of a circle having a diameter of 20,000 units, which came out to be 62,832. He also gave the correct formula for calculating the area of a triangle.

He was also the first mathematician to give what later came to be known as the tables of Sines. The birth of trigonometry was influenced by his definitions of sine (jya), cosine (kojya), versine (utkrama-jya), and inverse sine (otkram jya).

Contribution to Astronomy

The last two sections of Aryabhattiya deal with astronomy.

Much before Copernicus enlightened the West with the discovery that sun is at the centre of solar system and all the planets including earth revolve around it, Aryabhata made this discovery by adopting the heliocentric theory. He disregarded the popular belief that earth is stationary and stated the theory that earth is round and rotates on its own axis, which causes the occurrence of day and night.

Aryabhatta challenged various prevalent superstitious beliefs and gave scientific explanations for many natural phenomena. He correctly stated that the moon and other planets do not have light of their own and shine because of the reflection of the light of the sun.

There was a popular Hindu belief that solar and lunar eclipses occurred because Rahu and Ketu (demon’s head) gobbled the sun and the moon. Aryabhata demolished this myth by proposing the theory that eclipses occur due to the shadows casted by the earth and the moon.

Due to his immense contribution towards developing mathematical and astronomical studies, the first satellite sent into orbit by India has been named after Aryabhata.

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Detection of “Rogue”- a Planetary Mass Object With a Surprisingly Powerful Magnetic Field

"Rogue" planetary-mass object with a surprisingly powerful magnetic field travelling through space unaccompanied by any parent star.

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The so-called
The so-called "rogue" planet does not revolve around a star, but instead rotates around the galactic center in interstellar space. Pixabay

Astronomers have detected a possible “rogue” planetary-mass object with a surprisingly powerful magnetic field travelling through space unaccompanied by any parent star.

The extrasolar object, about a dozen times more massive than Jupiter, is located some 20 light-years from Earth, showed the findings made using the US National Science Foundation’s Karl G. Jansky Very Large Array (VLA) telescope.

“This object is right at the boundary between a planet and a brown dwarf, or ‘failed star,’ and is giving us some surprises that can potentially help us understand magnetic processes on both stars and planets,” said Melodie Kao from Arizona State University in the US.

Kao led this study while a graduate student at California Institute of Technology (Caltech).

The strange object, called SIMP J01365663+0933473, has a magnetic field more than 200 times stronger than Jupiter’s, according to the study published in The Astrophysical Journal Supplement Series.

The object was originally detected in 2016 as one of five brown dwarfs the scientists studied with the VLA to gain new knowledge about magnetic fields and the mechanisms by which some of the coolest such objects can produce strong radio emission.

Astronomers discovered "Rogue"
Astronomers discovered “Rogue”.

Brown dwarf masses are notoriously difficult to measure, and at the time, the object was thought to be an old and much more massive brown dwarf.

Last year, an independent team of scientists discovered that SIMP J01365663+0933473 was part of a very young group of stars.

Its young age meant that it was in fact so much less massive that it could be a free-floating planet — only 12.7 times more massive than Jupiter, with a radius 1.22 times that of Jupiter.

The Caltech team that originally detected its radio emission in 2016 had observed it again in a new study at even higher radio frequencies and confirmed that its magnetic field was even stronger than first measured.

Also Read: Astronomers discovered Sun-like star that devoured its own planets

The VLA observations provided both the first radio detection and the first measurement of the magnetic field of a possible planetary mass object beyond our solar system. (IANS)