12.1 - Space Flashcards
Stars are at such enormous distances from the earth, what information can we get from them???
The only information we have about them is the electromagnetic radiation we receive from them.
We know the electromagnetic radiation we receive from stars on earth, what can this be used for
From this limited information, we can measure various stellar properties. These allow us to classify stars into various groups which have quite enigmatic names, such as red giant, white dwarf and blue supergiant. They are much too far away for us to send probes to them, or even to send signals to them in the hope of detecting reflections.
However, the electromagnetic emissions from stars can tell us their temperature, chemical composition, speed of movement, approximate age, size and much more! 🤩
Is there a better method to determine how bright a star is other than just observing it with the naked eye?
With the naked eye, we are only able to distinguish six different levels of how bright stars appear to us. This is insufficient for scientific use, as many stars of differing brightness would appear identical to our eyes.
Astronomers therefore use a more precise measure to classify the actual brightness of stars: their output power, which is known as luminosity.
What can luminosity be defined as
We define luminosity as the rate at which energy of all types is radiated by an object in all directions. This depends upon both objects size and it’s temperature
What does an object/stars luminosity depend on
The objects size and more importantly, it’s temperature
Explain the black body radiation curve for different temperatures
Y axis = energy output
X axis = wavelength
The higher the temperature of the star, its energy out put peak will be further to the left and a higher peak overall.
The distribution is given by the Stefan-Boltzmann law. This tells us that the output power from a black body is proportional to its surface area and the fourth power of temperature.
Since L = sigma x A x T^4
ADD MORE STUFF TO THIS FROM BOOK
What’s a perfect black body radiator
A perfect black body radiator will give off energy across the entire EM spectrum
What is the Stefan-Boltzmann law
L = sigma x A x T^4
Where L = luminosity
A = surface area
T = temperature in kelvin (SI unit)
The Stefan-Boltzmann constant, sigma is 5.67 x 10^-8 W m^-2 K^-4
For a spherical object this equation would become
L = 4 x pi x r^2 x sigma x T^4
Working on the assumption that a star acts like a black body emitter, which is a very good approximation, this equation describes the luminosity of a star.
What is important to remember about black body radiators
A black body radiator is a theoretical perfect emitter, which follows the Stefan-Boltzmann energy output curve for its temperature and also follows Wien’s law.
Remember black body radiation is a thermodynamics idea that can be applied in other areas of physics.
What is the range of wavelengths emitted by a star also known as
It’s spectrum
How can we determine the temperatures of stars
There are various methods, but we will focus on one that uses the wavelengths of light given off by a star
When we examine a stars spectrum, we find that some wavelengths are given off with more intensity than others.
Tell me about Wien’s law
We saw from the Stefan-Boltzmann law that as the temperature of a black body increases, it emits more energy. At higher temperatures the black body radiation curve has a more pronounced peak, and the wavelength of the peak output gets shorter as the temperature rises. The relationship between the peak output wavelength and temperature is described by Wien’s law
Lamder(subscript max)x T = 2.898 x 10^-3 mK
The number 2.898 x 10^-3 m K is known as Wien’s constant
Define red giant
A red giant is a large star, somewhat cooler than our sun, eg 3000 K
Define a white dwarf
A white dwarf is a small hot star, perhaps 10000 K
Define blue supergiant
A blue supergiant is a very large, very hot star, perhaps 25000 k
Define luminosity
Luminosity is the rate at which energy of all types is radiated by an object In all directions
Define Stefan-Boltzmann law
The law is that the power output from a black body is proportional to its surface area and the fourth power of its temperature in kelvin
L = sigma x A x T^4
Define Wien’s law
Wien’s law is that the relationship between the peak output wavelength and temperature for a black body radiator is given by the equation:
Wavelength(subscript max) x T = 2.898 x 10^-3 mK
Tell me about star classes
Astronomers have classified stars into groups according to their temperature. This is a useful property to use since stars with similar temperatures tend to share many other features. The temperature determines the spectral output of the star, but it can also suggest chemical composition and age.
What are the spectral classes and how can you remember them
From hottest to coldest O B A F G K M
Oh Be A Fine Gorl, Kiss Me!
Tell me about trends in spectral classes
The hotter stars tend to have more mass and are more luminous. The larger gravitational pressure at the centre of a massive star makes the nuclear fusion reactions within the star run very fast, producing a lot of energy and using the hydrogen fuel in the star at an incredible rate. In addition, more massive (as in higher mass) are also larger.
Therefore, with large size and high temperatures, the hotter stars are very luminous, giving off a great deal of energy. At the same distance away from us, these will then appear very bright in the night sky compared with a smaller, cooler star.
Tell me about changes in colour between spectral classes
The overall impression of the O class spectrum is a bluish colour, whereas for the M class spectrum there is a pronounced red colour showing. These changes are a direct result of the variation in output curve we saw associated with Wien’s law.
The peak of the black body radiators wavelength output - will show the colour the star appears.
Wien’s law curve shows us what colour a star will appear.
Why is the Hertzsprung-Russel diagram called a diagram and not a graph
If you were to plot a graph of luminosity against start temperature, you can confirm this trend. There is a general correlation.
However, the more data you add, the more complex the picture becomes. We must also remember that the temperature measurement assumes the star behaves as a black body, and the luminosity is similarly often not as accurate as we would like. In general, luminosity has to be determined from a calculation that includes the distance to the star, and measuring the distances to stars is by no means an exact science.
Such a lot can give us some very useful insights, but it’s not a graph In the true sense. It is known as a Hertzsprung-Russel diagram
What is the Hertzsprung-Russel diagram like
Most stars we observe fall on a diagonal line across the Hertzsprung-Russel diagram, which is called the main sequence. These are stable stars which will exist in this state for the majority of their lifetime. Their correlation represents the connection between brightness and high temperature.
Note that the plot is ALWAYS drawn with hotter temperatures on the left hand side !
There are also other stages in a stars evolution, which appear in other places on the diagram, but these are much shorter than it’s stable period. Thus, there are far fewer stars in those parts of the diagram.
What is the majority of ordinary matter in the universe
The majority of ordinary matter in the universe is hydrogen (roughly 75%) or helium (roughly 24%), and it is from these elements that stars are initially formed.
Tell me about the general life cycle of a star
From an accretions collection of gases (hydrogen and helium), called a protostar, the life cycle of a star follows a number of stages, with the star ending its life as a white dwarf, neutron star or black hole.
As the star undergoes nuclear fusion, the binding energy differences of the nuclei before and after fusion mean that the process releases energy, often as electromagnetic radiation, to heat the star. The pressure from the vibration of its particles, and em faction trying to escape hold up the structure of the star against its collapse.
The initial mass of a star is a critical factor in determining how the evolution changes, and thus which life cycle a star will follow.
What stops a star from collapsing
As a star undergoes nuclear fusion, the binding energy differences of the nuclei before and after fusion mean that the process releases energy, often as electromagnetic radiation, to heat the star.
The pressure from the vibration of its particles, and the electromagnetic radiation trying to escape, hold up the structure of the star against gravitational collapse. It is this constant battle between the outward pressure and gravity that drives the evolution of a star throughout its lifetime.
What does the initial mass of the star impact on
The initial mass of the star is a critical factor in determining which of the possible life cycles a star will follow.
The multiple possible life cycles for stars are usually grouped together into just two paths in which the outcomes are similar. These are the life cycle for low mass stars (such as our sun) and the life cycle for massive stars, which have at least four times the mass of our sun
What are the two paths for Stellar evolution
The multiple possible life cycles for stars are usually grouped together into just two paths in which the outcomes are similar.
These are the life cycle for low mass stars (such as our Sun) and the life cycle for massive stars, which have at least four times the mass of our sun !
Explain the life cycle of a low mass star
Once it has accreted about the mass of our sun, a low mass star will start to undergo nuclear fusion of hydrogen, converting this into helium. This is a stable stage of life in which radiation pressure and gravity are in equilibrium. The star will remain in this star for billions of years. Eventually, it will run low on hydrogen fuel, but will have produced so much energy that it will expand slightly. This expansion causes the temperature to fall and the star becomes a red giant. Once most of the hydrogen fuel is used, the stat will start fusing helium nuclei. This complex process can cause an explosion which throws some material from the star out into space, forming a planetary nebula.
As the fuel to produce energy to support the star runs out, the outward pressure from fusion drops and gravity takes hold, causing the star to contract to a much smaller size. This heats up the star significantly and it becomes a white dwarf. As time continues, the star will slowly run out of energy and die, passing through the red dwarf stage to become a black dwarf.
Note that the black dwarf stage is theoretical, as it takes a white dwarf longer than the current age of the universe to cool this much, so there has not been time for any to develop.
Which stage of a low mass stars life cycle is theoretical
The black dwarf (end/death) stage is theoretical, as it takes a white dwarf longer than the current age of the universe to cool this much, so there has not yet been time for any to develop.
Summarise the stages of a low mass star life cycle
Protostar, sunlike star, red giant, planetary nebula, white dwarf
Explain the life cycle of a massive star
If a protostar has more than four times the mass of our sun, the star begins life as a blue supergiant. As with low mass stars, nuclear fusion begins and the star enters a stable stage of life in which heat pressure and gravity are in equilibrium.
However, the fusion processes happen at much higher temperatures than in lower mass stars. This means that it burns very quickly, and the conditions make it possible for further fusion of some of the larger nuclei it produces to occur. The fusion of helium can produce a variety of the larger elements, which have mass numbers which are multiples of 4 (helium has four nucleons), such as carbon, oxygen and silicon. There will then be stages of carbon and oxygen burning. A high mass star is likely to be on the main sequence for only up to a billion years.
When the material of such a star has been fused to the point where it is mostly iron, it can no longer undergo nuclear fusion and it stops producing energy. This happens even more abruptly than in low mass stars, and with the enormous gravitational forces produced by a large mass, it undergoes an incredible collapse. This sudden increase in density produces a sudden huge burst of energy, effectively bouncing the collapse back out. This explosion is called a (type II) supernova and is the most immense burst of energy ever witnessed. It is so bright, you can see the change in the night sky with the naked eye.
Within a supernova explosion there is so much more energy that nuclear reactions occur that produce the elements above iron in the periodic table. The natural occurrence of these elements is evidence that supernovae must have occurred in the past, as the binding energies of these heavy elements are such that they cannot be created in other natural processes in the universe.
It can then become a neutron star or black hole
Summarise the stages of a massive stars life cycle
Protostar, blue supergiant, red supergiant, type II supernova, then black hole or neutron star
What is evidence supernovas that supernovas have occurred in the past
Within a supernova explosion there is so much energy that nuclear reactions occur occur that produce the elements above iron in the periodic table.
The natural occurrence of these elements is evidence that supernovae must have occurred in the past, as the binding energies of these heavy elements are such that they cannot be created in other natural processes in the universe.
What happens to massive stars after the supernova stage
After a high mass star has exploded as a supernova, the entire star may be completely shattered. If there remains a central core of stellar material, this will be either a nurturing star (if the core was up to three solar masses) or a black hole (if the core retained more than three solar masses)
Neither of these is easy to detect, as they emit little or no light, and they are not plotted on the Hertzsprung-Russel diagram.
What is a neutron star and how does it compare to a black hole
A neutron star consists almost entirely of neutrons, packed as densely together as the nucleons within the nucleus of an atom. They can hold three times the mass of the sun but are only about 10km in diameter.
Black holes are even smaller and hold even more matter than neutron stars. This means that their gravitational pull is immense, so strong that things travelling at the speed of light cannot escape
What dictates if a star becomes a neutron star or black whole
When a high mass star explodes as a supernova, and their remains a central core of stellar material, this will be a neutron star or black whole
Neutron star if the core was up to three solar masses
A black whole if the core retained more than three solar masses