Thursday July 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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A Dozen New Moons Found Orbiting Jupiter

Twelve new moons orbiting Jupiter have been found -- 11 'normal' outer moons, and one that they're calling an 'oddball.'

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Jupiter
Astronomers Discovers 12 New Moons Orbiting Around Jupiter. (VOA)

Astronomers are still finding moons at Jupiter, 400 years after Galileo used his spyglass to spot the first ones.

The latest discovery of a dozen small moons brings the total to 79, the most of any planet in our solar system.

Scientists were looking for objects on the fringes of the solar system last year when they pointed their telescopes close to Jupiter’s backyard, according to Scott Sheppard of the Carnegie Institute for Science in Washington. They saw a new group of objects moving around the giant gas planet but didn’t know whether they were moons or asteroids passing near the planet.

“There was no eureka moment,” said Sheppard, who led the team of astronomers. “It took a year to figure out what these objects were.”

They all turned out to be moons of Jupiter. The confirmation of 10 was announced Tuesday. Two were confirmed earlier.

The moons had not been spotted before because they are tiny. They are about one to two kilometers across, said astronomer Gareth Williams of the International Astronomical Union’s Minor Planet Center.

And he thinks Jupiter might have even more moons just as small waiting to be found.

“We just haven’t observed them enough,” said Williams, who helped confirm the moons’ orbits.

Jupiter
12 New Moons Discovered Orbiting Jupiter. Pixabay

The team is calling one of the new moons an “oddball” because of its unusual orbit. Sheppard’s girlfriend came up with a name for it: Valetudo, the great-granddaughter of the Roman god Jupiter.

Valetudo is in Jupiter’s distant, outer swarm of moons that circles in the opposite direction of the planet’s rotation. Yet it’s orbiting in the same direction as the planet, against the swarm’s traffic.

“This moon is going down the highway the wrong way,” Sheppard said.

Scientists believe moons like Valetudo and its siblings appeared soon after Jupiter formed. The planet must have acted like a vacuum, sucking up all the material that was around it. Some of that debris was captured as moons.

“What astonishes me about these moons is that they’re the remnants of what the planet formed from,” he said.

Telescopes in Chile, Hawaii and Arizona were used for the latest discovery and confirmation.

Also Read-NASA Probes Unveils Stormy Environment of Jupiter’s moon

Galileo detected Jupiter’s four largest moons, Io, Europa, Ganymede and Callisto, in 1610. The latest count of 79 known moons includes eight that have not been seen for several years. Saturn is next with 61, followed by Uranus with 27 and Neptune with 14. Mars has two, Earth has one and Mercury and Venus have none. (VOA)