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The Fear, and the Use, of Mathematics and Physics
The two areas of human enquiry that inspire the greatest terror in the hearts of students are undoubtedly mathematics and physics. You may find history or chemistry or economics difficult, but your reaction to these subjects, and more others is almost certainly not fear. On the other hand, when you encounter an equation, your first reaction is to escape to more amiable company. If you compare subjects to people, you will realize that your reaction to maths or physics is very similar to your reaction to a stern, quiet person who is famous for his wisdom but who makes you very uncomfortable indeed. When he speaks you listen dutifully, because you’ve been told his words contain a lot of meaning, but you understand almost nothing, and you end up feeling foolish and exposed; and what is worse, this person does not need to shout to make you feel this way — he just has to look at you. When you see an equation or a mathematical expression you react in the same way. Let us try to under stand that what mathematics is and why it is so difficult.
Its a Mystery! – Simulacrum in Eagle Nebula
One of the Strangest photos that have Ever Been taken of space is that of the Eagle Nebula. The photo itself is supposed to show the birth of a star from the gaseous clouds.
When the photo was shown on CNN, [See Image1] hundreds of calls came in from people reporting — they could see a face in the cloud. When the color of the photo was adjusted, a large human form seemed to appear within the cloud. [See Image2]
Image 1: Simulacrum in Eagle Nebula-
Image 2

So What did you see here?
This is what attracts us to mysteries. Mystreries are beautiful.
Scientists have not been ab
le to explain this beautiful phenomenon.
Related Articles
- Picture of the Day – The Eagle Has Risen (spacefellowship.com)
- A star wrapped in the beautiful colors of the nebula that birthed it [Space Porn] (io9.com)
- The Pelican Nebula: Facts and FAQs (brighthub.com)
Introduction to Universe: Part IV: Black Holes
Black Holes

What are they?
Strange things happen to a star at the end of its life, as it converts to a red giant, black dwarf, white dwarf, supernova etc. (To know more read Part I of this series.)
Consider a star, having its mass is more than 3 times of the mass of the Sun. At the end of its life, it will collapse and will become more and more compact. This collapse will continue until the star becomes so compact and dense that Nothing…Nothing, not even light , would be able to pass through or escape from its gravity. Hence the star will become dark and it cann’t be viewed directly.
Now we say that our Considered Star is A Black Hole.
Nature and More about Black Holes

As of now, our star is a black hole. Now it will emit strong gravitational waves due to its giant mass-density. These waves will be strongest near the black hole and weakest at last approach of the black hole. Thus the shape of black hole’s effect area, will look like Whirl. This is the same as washing machine whirl. .
Read Part I of this series Here
Introduction to Universe: Part III: Our Sun & Its Structure
So are you ready to enter into the Sun?

We may divide the internals of the Sun into following major parts:
• Corona
• Chromosphere
• Photosphere
• Solar Envelope
• The Core

Corona

Corona is the outermost part of the sun & you may see it when Full Solar Eclipses occur. The temperature of corona is about 2.7million°C, which is hot enough to emit ultravoilet and X-rays. The corona extends millions of kilometers into space above the photosphere and is very hot- millions of degree celcius.
Chromosphere
In a solar eclipse, a red circle around the outside of the Sun can be seen sometime. This is the chromosphere. The chromosphere is made up of the gases that extend away from the photosphere.Chromosphere is of red color, caused by the abundance of hydrogen. It has a greater (than Photosphere) temperature of about 10000°C. The Chromosphere merges into Corona & Photosphere.
Photosphere
The photosphere is the zone from where the sunlight we see is emitted. The photosphere is a layer of low pressure gasses surrounding the envelope. It is 400 km thick, with a temperature of 4500°C to 6000°C.
The Core:
The innermost layer of the sun is the core with a density of 160g/cm³ (10 times that of lead). The core might be expected to be solid. However, the core’s temperature of 15 million°C keeps it in a gaseous state. In the core, fusion reactions produce energy in the form of γ rays and neutrinos.
From the photosphere of the sun to the chromosphere and to the Corona , the temperature increases, while the same procedure follows up from the photosphere to the core of the sun (I mean temperature increases). Thus you may say in other words that the Photosphere is the COOLEST PLACE in the sun.
Spots in Sun? — SunSpots

The sun has enormous organized magnetic fields that reach from pole to pole. Loops of the magnetic field oppose convection in the convective envelope and stop the flow of energy to the surface. This results in cool spots (i.e. SUNSPOTS) at the surface which produce less light than the warmer part.
Sunspots are dark spots on the photosphere, typically with the same diameter as the Earth.

Sunspots have cooler temperatures than the photosphere. So our thoughts again changes here, that photosphere is the coolest part on the Sun— Now it is the sunspots.
The center of a spot is called the umbra, looks dark gray if heavily filtered & is only 4200°C (as compared to the photosphere at 6000°C).
Penumbra is the portion around the umbra, which looks lighter gray (if filtered).
Sunspots come in cycles, increasing sharply (in numbers) & then decreasing sharply. The period of this solar cycle is about eleven years. The largest spot ever measured (APRIL 1974) covered 18130 million km² i.e., 0.7% of the Sun’s visible surface. The life periods of these spots also vary—from a few hours to many weeks.
Polar Auroras
It is an effect of sunlight.

Polar Auroras are two auroras, the Aurora Borealis or Nothern Lights and the Aurora Australis or Southern Lights. These are lights that sweep across the sky in waves or streamers or folds. They are very often multi-colored and provide one of the finest spectacles in nature. They occur in Arctic and the Antarctic regions respectively. But the Northern lights can be seen as far south as New Orleans in America and the Southern lights as far north as Australia.
Comments and Suggestions are invited from the readers. You may mail me to gaurav.phys@gmail.com
Introduction to the Universe: Part II: Systems of Stars: Solar System and Our Sun
What does “The Solar System” mean?
The Solar System means the system of the Sun. All bodies under the gravitational influence of our local star, the Sun, together with the Sun, form the Solar System.

Bodies? What kind of bodies?
•The largest bodies, orbiting the Sun, including Earth are called planets.
•Often smaller cool bodies called satellites or moons, orbit a planet.
•Bodies smaller than than the planets that orbit the sun are classed as
asteroids if they are rocky or metallic, comets if they are mostly ice and dust, and meteoroids if they are very small. Most comets release gases as they near the heat of sun, producing a luminous cloud called coma & often a long tail. A meteoroid that burns in Earth’s atmosphere is a meteor, while one that reaches Earth without burning completely becomes a meteorite.
• After the exclusion of Pluto from the planet category, a new category is formed: Dwarf Planet.
Elements of Solar System:
Stars: (1) The Sun
Planets: (8) Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune.
Dwarf Planets: (4) Pluto, Charon, Eris, Ceres- along with the numerous satellites that travels around most of planets.
Others:
Asteroids
Interplanetary Dust
Plasma etc.
What’s Next?
In this article, I shall discuss about the Sun only. Further bodies will be discussed in Part IV & V. While, next Part i.e. PART III, will bring you into the interior of Sun. I suggest you again to read Part I of this Series.
The Sun
SnapShots & facts about the Sun:
• Sun is one of more than 100 billion stars in the giant spiral galaxy called the Milky Way.
• Sun is the center of the solar system. Its mass is about 740 times as much as that of all the planets combined.
• It continuously gives off energy in several forms- visible light; invisible infrared, ultra-violet, X-rays and γ -rays, cosmic rays, radio waves and plasma.
•The Sun generally move in almost circular orbits around the galactic center at an average speed of about 250 km per second.
•It takes 250 million years to complete one revolution round the center. This period is called a Cosmic Year.
•It’s energy is generated by nuclear fusion in its interior. It is calculated that the Sun consumes about 4million tonnes of hydrogen every second. At this rate, it is expected to burn out its stock of hydrogen in about 5billion years and turn into a red giant.
Solar Statistics
Absolute Visual Magnitude: 4.75
Diameter: 1,384,000 km
Time of one Rotation as seen from the Earth: 25.38days (at equator) to 33days (at poles).
Chemical Composition:
Hydrogen 71%
Helium 26.5%
Other Elements 2.5%
Age: 4.5 billion years aprox.
Expected lifetime: 10 billion years aprox.
Mean distance from Earth 8.2 light seconds i.e. Aprox. 150 million km.
Introduction to Universe: PART I : Stars and their types
What is it?
There are many millions of stars in the sky. In the whole heavens, fewer than 6000 stars are bright enough to be visible and at any one time, less than 2500 stars are visible above the horizon.
Stars account for 98% of the matter in a galaxy. The rest of 2% consists of interstellar or galactic gas & dust in a very attenuated form. The normal density of interstellar gas throughout the galaxy is about one tenth of a hydrogen atome per cm³ volume. Stars tend to form groups.
What I shall discuss here?
There are many types of stars in the universe having different name & definitions. I’ll discuss a few of them!
Major kinds of Stars according to numbers
• Lone Stars :These are alone and going on their own. Lone stars are exception in the Universe.

These donot follow up the condition to be in galaxy. And this is the difference between it & Single stars.
•Single Stars These are found in galaxy & are single (for example Our Sun). These do not number more than 25% of Stellar (Star) Population.
•Binary Stars or Double Stars These exist as couples of stars (e.g., Antares in Scorpio is actually two stars) and they are some 33% of stellar population.
The rest are •Multiple Stars (e.g., Capella & Alpha Centuri comprize 3 stars each, while Castor consists of 6 stars).
Note that, stars which appear single to the naked eyes are sometimes double stars. There are two stars revolving around a common center of gravity. They are also found in orbital motion round each other, in periods varying from about one year to many thousands of years.
Vivid types of Stars according to their nature
Red Giants

When the hydrogen, the main element in a star, is depleted, its outer regions swell and redden. This is the first sign of age. Such stars are called Red Giants.
Our Star, the Sun, is expected to turn into a red giant in another 5 billion years. Red giants are dying stars that has expanded greatly from its original size and gives off red light. They have gigantic dimensions.
Black Dwarf

It is the blackened corpse of a star. Ultimately it disappears into the blackness of the space.
White Dwarf

It is a tiny, dense, hot star, representing a late stage in the life of a star. The matter in it is so incredibly dense that a single teaspoonful of it would weigh several tonnes.
Supergiants

These are huge stars, with all their hydrogen fuel used up in their core, but continue to expand hundred of times bigger than its original size before they finally die.
Novae & SuperNovae

These are kind of stars, whose brightness increases suddenly by 10 to 20 times are more and then fades gradually into normal brightness. The sudden increase in brightness is attributed to a partial or outright explosion. In Nova, it seems that only the outer shell explodes, whereas in SuperNova the entire star explodes.
Variable Stars
There are stars that show varying degrees of luminosity.
Quasars

These are variable stars and are powerful quasi stellar sources of radio radiations.
Pulsars

These are also variable stars which emit regular pulses of electro-magnetic waves of very short duration.
© Gaurav Happy Tiwari, 2011
Fundamentals of Pulsar Stars: How they Pulse?

Pulsar Star
A pulsar is a Neutron Star which emits beams of radiation that sweep through the earth’s line of sight.
Like a black hole it is an end point to stellar evolution.
The “pulses” of high-energy radiation we see from a pulsar are due to a miss-alignment of the neutron star’s rotation axis and its magnetic axis. Pulsars pulse because the rotation of the neutron star causes the radiation generated within the magnetic field to sweep inand out of our line of sight with a regular period.


