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Stars and Steller Evolution Lecture 12


Hertzsprung-Russell Diagram

In this lecture we presented the Hertzsprung-Russell Diagram (HR) where we plot a star determined by it's spectral type (or Temperature) and absolute magnitude. This diagram is rather central to the remaining lectures and has to be seen! It has several features
Empty graph
Add our sun
and other stars
main sequence stars
Red Giant stars
Red Supergiants stars
Blue Giant stars
White Dwarf stars

Main Sequence Stars

Our sun is a main sequence star. We understand the sun and hence main sequence stars reasonably well.

In the sun there are two opposing forces at work. Firstly there is gravity - this force will always try to contract the star. Opposing this force there is pressure from within. In the sun these two forces is in stable equilibrium. The sun is almost entirely hydrogen and helium. Since these, in the core, are very hot they produce a pressure which balances the gravitational attraction. Changing the temperature would change the balance. Since the Sun radiates heat something must produce energy in the sun - otherwise it would cool. The ``powerhouse'' at the centre of the sun is thought to be nuclear fusion reactions. To understand how the sun works we must understand nuclear fission and fusion. The radius of the central core where fusion occurs is about 0.2 of the suns radius.

Nuclear Fusion and Fission

Nuclei (at the centre of atoms) are composed of protons and neutrons. The lowest enegry nucleus is that of iron which consists of 56 protons and neutrons. This allows us two possibilities, Some useful pictures of the sun are

Solar Model

Using nuclear (and other) physics we can build a model of the sun - and by changing parameters models of other main sequence stars. We can characterise the other sun by the total mass. A convenient use is solar masses. 1 Ms = mass of sun = 1.99x 1030 kg =333,000 earth masses. (I can't type the symbol for solar mass...). Using this we can build models of how stars will function depending upon the initial mass.

Mass Surface T Luminosity Lifetime ( million yrs)
0.5 4000 0.03 200,000
0.75 5000 0.5 15,000
1 6000 1 10,000
1.5 7000 5 3,000
3 11,000 60 500
15 30,000 10,000 15
25 35,000 80,000 3

I have introduced a new concept - Luminosity . This is the energy ( in light of its various forms) emitted by the star. I use units in terms of the sun's luminosity.

© Dave Dunbar 2020