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astronomy Archives - PhysicStuff

Tag: astronomy

What is Doppler Effect?

What is Doppler Effect?

Everyone has observed the phenomenon of Doppler Effect at some point. An ambulance coming towards you sounds a bit high pitched and then when it goes away from you it sounds a bit low pitched. So basically Doppler Effect is the change in frequency or wavelength due to the relative motion between source and observer. This phenomenon was named after the Austrian physicist, Christian Doppler, who proposed it in 1842 during his time at Prague Polytechnic University.

Doppler effect can be observed in sound waves as well as electromagnetic waves i.e light. The apparent change in wavelength/frequency due to the motion of source object is called as Doppler Effect. Consider a scenario where an observer is observing a moving object. If the object is moving towards the observer the wavelength is shorter due to the motion of source, and hence the frequency increases (higher pitched sound). Whereas if the object is moving away from observer the wavelength is longer as source is moving away from the observer and hence frequency decreases (lower pitched sound).

In case of light, if the object is moving towards you its called as blue shift because the wavelength reduces i.e it shifts towards blue side of the Electromagnetic Spectrum and if the object is moving away its called as red shift because the wavelength increases i.e it shifts towards red side of the Electromagnetic spectrum.

Note that blue shift and red shift doesn’t actually mean the object appears blue or red, it just means that frequency increases or decreases. A stellar object’s spectrum may be in ultraviolet region which is already beyond blue, in that case blue shift means the spectrum shifts towards the higher frequency range.

Red Shift and Blue Shift of Electromagnetic Spectrum of a Star.


Some applications of the Doppler Effect

  • Police radars make use of Doppler effect. The device is pointed at the target (vehicle), radio waves are emitted which hit the target and are reflected back. Depending on whether the vehicle is moving towards or away the change in wavelength is measured and instantly speed of the vehicle is calculated by the electronic circuits in the device. Such device is a good for non-intrusive way of traffic rule enforcement.
    Handheld Police Radar.
    Image Credits :

  • Doppler Radars are used by Meteorologists to study the weather. Similar to Police radar it uses radio waves, they have large enough wavelength to interact with clouds and precipitation. This can be used to determine the speed of cloud and using other parameters like wind speed, temperature, air currents,etc the prediction of weather becomes more accurate.
    Doppler Radar at the National Weather Service in Dodge City, Kansas.

  • Doppler Echo-cardiogram is a device used to take images of heart. It uses sound waves which makes it relatively safe medical imaging technique. The sound waves bounce off the walls of heart and the red blood cells hence we obtain an image which helps determine the rate of blood flow and direction.
    Doppler Mitral Valve.
    Image : Wikipedia.

  • In Astronomy and Cosmology Doppler effect is used to determine if a stellar object is moving towards or away from us. It is also used to determine the distances of stellar objects. Click here to read more about determining stellar distances.
  • When a planet orbits a star, the star wobbles around the center of mass of the star planet system also called as barycenter (common center of mass for star and their planets). So the wobble means that the star moves away from us and towards us. That’s it! We can use Doppler Shift to detect exoplanets!!

Infact our sun also wobble mostly due to Jupiter.


Star Wobbles due to exoplanet.

To read more in detail about Doppler effect and also it’s mathematical formulation refer to this pdf.


How do they determine Stellar distances?

How do they determine Stellar distances?

Just looking at stars in the night sky seems as if every star is equally far away. Feels like we are bound by some spherical ball with stars on the sphere. Any star seems to be as far as any other and this led the ancient Greeks to believe that all the stars were the same distance away. Distance is one of the most important and difficult parameters which has to be measured in Astronomy. Astronomers use some smart methods to measure stellar distances. These distances are really too huge to be determined using traditional methods as they are beyond the scale of any physical instrument we use.

People started to think about ways to measure stellar distances but there were no instruments before Galileo built a refracting telescope in 1609 which would aid in measuring distances with sufficient accuracy.


Here’s a list of methods used to measure Stellar distances:

  1. Parallax Method.
  2. Using Variable Stars.
  3. Using Colour of Stars.
  4. Using expansion of Universe.



Parallax Method

Parallax is definitely observed by everyone. When we look out the window of a car or train we see objects closer to us pass by rapidly as compared to objects far away from us. Objects very far away from train/car like mountains in-fact appear stationary. A driver looking at the speedometer observes speed as 80 kmph but at the same time a person looking at the speedometer observes the speed over 90 kmph. So we define parallax as difference between the apparent position of object viewed along two different lines of sight, and is measured by the angle or semi-angle of inclination between those two lines.

For stars, the distance between the two viewing points needs to be large, as they are so far away. The best we can do is to use the opposite sides of the Earth’s orbit (Annual Parallax). A photo of an area of sky is compared with one taken six months previously. Robert Hooke outlined in 1674 the problems of looking for annual motion of stars and Isaac Newton tried to calculate the distance of Sirius by comparing its brightness to that of the Sun. However, until the 19th century, telescopes were not sensitive enough to detect the very tiny parallax motions. The first person to succeed was F. W. Bessel who in 1838 measured the parallax angle of 61 Cygni .

There are two sub-types:

Annual Parallax : It is caused by the Earth’s yearly orbit around the sun. The measurements are taken 6 months apart i.e from two opposite points on the orbit.

Annual Parallax.
Image Credits:


Geocentric or diurnal parallax : Our observations are made from the surface of the Earth, not its centre. This is irrelevant when observing distant objects such as stars. But for closer objects (e.g. within the Solar System), a correction must be made. This is geocentric parallax, or diurnal (daily) parallax
(since it varies daily as the Earth spins around its axis).

Diurnal Parallax.
Two observations can be made of same object from diametrically opposite points.

Here is an example of calculation of Parallax. If anyone’s interested in the detailed geometric treatment of parallax, this is a good reference.

Even with recent telescope technology, the smallest parallax angle measurable from Earth has been about 0.01″. Only approximately 3000 stars have been observed with a reasonable degree of accuracy. In order to improve this figure, ESA has launched a satellite designed specifically to measure the tiny angles involved to excellent accuracy. Parallaxes as small as 0.002″ are possible.

Hipparcos by ESA which was launched in 1989.

Named HIPPARCOS (HIgh Precision PARallax COllecting Satellite) in honour of the Greek astronomer Hipparchus , the satellite was put into orbit by the European Space Agency in 1989.

Astronomy Through The Ages.
Image Credits: ESA



Variable Stars

As the name suggests, variable stars are those whose brightness varies (fluctuates) as seen from earth. There are different reasons of why the brightness of these stars varies.

They are classified as:

  • Intrinsic Variables: Whose luminosity changes periodically. For eg. the star might shrink or swell up periodically.
  • Extrinsic Variables: Whose apparent change in brightness is due to the change in amount of light that reaches Earth, or the star might get eclipsed due to other companion or planetary system orbiting around it.

It does sound weird, that variable stars aid us in measuring huge distances.One particular type of variable star has proved invaluable for helping to determine the stellar distances. This is a type known as a Cepheid Variable.

So what are these Cepheid Variables? They are named Cepheid Variables because the first star of it kind (The Delta Cephei) was discovered in the constellation Cepheus. All stars, late in their lifetime, change from being average stars for their mass ( main sequence stars ) to becoming swollen red giants . Most stars change from the swollen red giant phase to pulsating variable stars before they finally die, all reactions ceasing. These are Cepheid Variables, which expand and contract, glowing brightly and fading every so often.

Cepheid Variables are very large, luminous, yellow stars. They change in brightness very regularly with periods of 1 to 70 days between peaks.

Extrinsic variables have variations in their brightness, as seen by terrestrial observers, due to some external source. One of the most common reasons for this is the presence of a binary companion star, so that the two together form a binary star. When seen from certain angles, one star may eclipse the other, causing a reduction in brightness.
Variation in Brightness due to Eclipsing.

So how is it that we determine distances using these type of stars? Well the answer is very smart. The important feature of a Cepheid Variable that allows it to be used for distance measurements is that its period is related directly to its luminosity . This relation allows us to work out how much brighter than the Sun the star is. From there we can calculate how much further away the star must be than the Sun to make it the brightness we see from Earth!!

Delta Cephei light curves, Magnitude vs Time.
Plot of magnitude difference against distance.



Colour of Stars

I don’t know how people sometimes claim they see a “reddish” star just by looking at it through naked eyes, but personally through naked eyes I see stars as white dots. But when you click a long exposure photo or see a star through Prism you can see that star’s do have different colours. By obtaining the spectrum using prism or diffraction grating and analysing it we can even determine the surface temperature of the star!!

The famous constellation of Orion. This long exposure photographs show colours of stars. On the top left we have red supergiant Betelgeuse and on the bottom right we have blue supergiant Rigel.
Credit & Copyright: Matthew Spinelli

Astronomers divide stars into seven types according to their spectrum: O,B,A,F,G,K,M. The order of these letters can be easily remembered by the mnemonic – Oh be a fine girl kiss me! O stars are the hottest (50 000 degrees C) and are blue. M stars are the coolest (3 000 degrees C) and are red.

Now we are able to determine the surface temperature of a star. So how is distance measured using this parameter? Well we use Stefan’s Law which relates the star’s surface temperature to its luminosity. Once we know the luminosity, the absolute magnitude (a measure of the total amount of light being given out by the star in all directions) can be found and so the distance. The absolute magnitude is directly related to the star’s luminosity and the apparent magnitude (brightness of a star as observed from here on Earth) can be measured here on Earth. From the Inverse Square Law , we can deduce an equation connecting the magnitudes and the star’s distance. This allows us to calculate the distance in parsecs if we can find the star’s apparent and absolute magnitudes.

Plot of Surface temperature vs Spectral Class.



Expansion of Universe

Edwin Hubble was an American astronomer who discovered that universe is expanding. Furthermore it’s not only expanding but further the object (galaxy/star) is the faster it is receding away from us. Now how can this be used to determine the distances?

For that we need to first determine how fast the object is moving. We use the Doppler Effect for this. For galaxies coming towards you, the light appears slightly blue. For galaxies going away, it appears slightly red. By looking at the spectrum of a galaxy, astronomers can work out exactly how much the light has been changed and so determine the speed of the galaxy away from the Earth.

The Doppler Effect.

Now that we have determined the speed, we can approximate the distance using the Hubble Graph. The slope of this graph is the Hubble’s constant.

Plot of Velocity vs Distance (Hubble Graph).

These are some methods astronomers use to determine distances which are beyond the scales of any measuring instrument. It’s just fascinating that we can determine such huge distances with an impressive accuracy.

What is a Lunar Eclipse?

What is a Lunar Eclipse?

There’s flood of images of blood moon on social media since 31st Jan. The popular term being used for the phenomenon is “Super Blue Blood Moon”.  That phenomenon was nothing but a Total Lunar Eclipse. Now we will understand what happens and how it happens. First of all lets understand what is a lunar eclipse and then we will discuss its types.

What is a Lunar Eclipse?

The most common definition we hear is, when the sun earth and moon are aligned in the same line/ when the moon enters the Earth’s shadow. That all is fine, but the most natural question that pops up in our mind is; then why doesn’t eclipse happen every month? As it takes about 27.3 days for one complete revolution around Earth shouldn’t the sun, moon and earth line up twice in a month which would lead to one total solar eclipse and one total lunar eclipse every month? But that doesn’t happen right? Eclipses doesn’t happen that often. Well that’s because the Moon’s orbital plane is inclined by about 5.1° to the ecliptic plane (the plane in which Earth orbits around sun). So Eclipses occur only when the moon passes through that exact point where these two planes coincide. And this doesn’t happen that often.

By Peter Sobchak - Own work, CC BY-SA 4.0,
The Moon’s orbital plane differs a little than the Earth’s orbital plane.

Types of Lunar Eclipses

Umbra – The region where no sunlight reaches.
Penumbra – Region where sunlight reaches partially.

Penumbral Lunar Eclipse

Penumbral Lunar Eclipse happens when the moon passes through the penumbra region of the Earth’s shadow. This type of eclipse is usually very hard to notice as there is only slight change in the brightness of moon.

Partial Lunar Eclipse

When part of the moon passes through Umbra we get a partial Lunar eclipse. It is easy to notice as there is significant drop in Moon’s brightness. It might happen once or twice in a year.

Total Lunar Eclipse

Now this is something which doesn’t happen quite often. Total Lunar Eclipse happens when the moon passes through the umbra i.e all the sunlight is blocked by Earth. This event happened recently on 31st January 2018.

The types of Eclipses. Image credits: Addison Wesley.

So what was so special about the Lunar eclipse of 31st January? And why was it called Super Blue Blood Moon? Lets understand it word by word.

Super moon

The moon’s orbit around earth is not exact circle, its an ellipse. So there must be two points; when the moon is farthest from Earth and when it is closest to Earth. The farthest point is called apogee (406,300 km) and closest point is called perigee (356,700 km). Super moon is when its a full moon at perigee and its called super moon because it looks a little bit bigger than usual.

Comparison of Moon at Apogee and Perigee.

Blue Moon

This has nothing to do with the colour blue. When two full moons appear in one month then the second full moon of the month is called a blue moon! There is a phrase “once in a blue moon” so its evident that this is something rare. Blue moon happens once in 2 to 3 years. And whats more rare is a double blue moon which is two months in a year which has two full moons each! And this happens 3-5 times in a century!! The last double blue moon happened in 1999 and next will happen in 2037!

Blood Moon

Blood moon sounds so surreal! When a total lunar eclipse occurs all the sunlight is blocked by earth and moon is in the umbra region. Now Earth has a thick layer of atmosphere. Rayleigh’s scattering of sunlight in atmosphere is what gives sky its blue colour. The atmosphere scatters blue light more efficiently than red light (In better terms, the scattering is inversely proportional to the fourth power of wavelength). So the Red light passes through the atmosphere without getting scattered and enters the umbra region onto the moon! That’s what gives the moon a reddish hue! Hence the name blood moon.

The atmosphere bends red light towards the umbra region.
Image credits:

Super Blue Blood Moon

Now what are the odds of super moon, blue moon and blood moon happening at the same time !! That’s why people were hyped for the Super Blue Blood Moon!!! I got to watch the eclipse and also clicked images at different stages of eclipse. The first image is when the totality occurred, the moon was visibly red even with naked eyes. And then gradually it turned white into a full moon! Isn’t it beautiful!?

Composite image of different stages of Total Lunar Eclipse.

The next Blue Blood Moon will happen on 31st December 2028 and the next Super Blue Blood Moon will happen on 31st January 2037! So if you missed this event you need to have a lot of patience.