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The Hertzsprung-Russell Diagram Our Objectives To determine the physical properties of the stars; to learn how they differ; and to understand why those differences arise We can now get around the problem of the variety of distances, which affects their apparent brightnesses. Human Analogy: Who is Tallest? It’s easy to tell when they are side-by-side! Likewise in Astronomy Which of these stars is truly the brightest? We can now work that out because we know the distances! We can (metaphorically) push them out and pull them in to visualize them ‘side by side.’ We Discover That… Stars are not all alike in their intrinsic brightness! Some are fantastically bright, some very faint. (The sun is in the middle of the range.) But what physical property or properties are responsible? Possibilities include: the mass the temperature the age the magnetic field the the the the composition size internal structure rate of rotation Or, of course, some combination of these – or others! To Make Progress Let us use an approach that is universal to all the sciences: namely, look for correlations between various attributes! In other words, see if any one property appears to depend on any other. This may provide helpful insights. A century ago, we had little astrophysical information to play with, essentially only the following: - stellar colours - what their spectra looked like (not yet understood!) - their intrinsic brightnesses (thanks to distances!) Colours Can be Deceptive If present, interstellar gas (in the ISM) will remove some blue light, ‘reddening’ the stars. But the spectral signature (the tell-tale pattern of lines) will be unaffected! (By the way, the nearer stars are unlikely to be behind much ISM, so this is only sometimes a problem) Let Us Intercompare Stellar Spectra We learn that they are not all the same! Note the great variety shown here. We need to compare and categorize them in some ‘standard’ way. Annie Jump Cannon and the whole team Women were thought to be particularly well-suited to this type of mundane tedious labour. Not Understood at First Stellar spectra were classified as types A, B, C, etc., according to the prominence of various absorption lines in the spectrum, with an “A-type” spectrum being particularly simple. (Sirius is one such ‘A’ star. The pattern of prominent absorption lines seen here is attributable to hydrogen.) These classifications were done by the many tens of thousands, but at first with no clear understanding of why they differed Henry Norris Russell Sensibly enough, he thought the spectra reflected differences in composition. The Sun’s spectrum shows lines attributable to iron, calcium, etc with little hydrogen. From that, he tried to work out ‘the solar composition.’ He found the Sun to be just like the Earth. No surprise, and generally accepted - but wrong! The Breakthrough: Cecilia Payne ”The most important thesis in all astronomy” The Surprising Conclusion The stars do not differ significantly in composition! They are ~ 2/3 H, ~ 1/3 He, with just a few percent of everything else (at least in the outer parts, which is what the spectrum tells us about) Incidentally, helium was first detected in the solar spectrum (hence its name, from the Greek ‘helios’) before it was found naturally on Earth. So What is the Explanation? The various spectra tell us mainly about temperature differences. Accordingly, we rearrange the spectral categories in order of decreasing temperature (and also eliminate, merge and simplify some categories) So, from hottest to coolest: OBAFGKM (RNS) In Order of Temperature [from hottest to coolest] Your Choice of Mnemonic For astronomers: Oh Be A Fine Girl (Guy), Kiss Me (Right Now – Smack!) Use your imagination! How about: Oh Brutal And Fearsome Gorilla, Kill My Roommate Next Saturday… Seeking Meaningful Correlations Let us now plot the true brightness of the stars (after correcting for varied distances) against the spectral types of the stars (indicative of their temperatures) to see if there is any relationship or dependence Let’s Do it Ourselves First! Before peeking ahead, let’s do this ourselves using the Starry Night Software. It’s simple (no need to classify the spectra!). Open the Starry Night package, then get set up as follows: Under the ‘View’ tab, hit ‘Hide Daylight’ Under the ‘Options’ tab, go down to ‘H-R Diagram Options’ and click boxes etc until it looks exactly like this, then hit ‘OK’ Now to Pick Some Target Stars Do a ‘Search’ (upper right) on Milky Way Centre, and go there. (You may need to ‘hide the horizon’). Zoom in until the field of view is about 100 degrees across. Here’s a first question: if I plot the apparent brightness of the visible stars against their spectral types, what will I see? To do so, go to the drop-down menu shown: under ‘Display Options’ and ‘Stars,’ turn on the ‘H-R Diagram’ button. A small diagram will pop up on the lower left of the Starry Night screen. Here is What You See - but it tells you nothing helpful Note that there are stars of all spectral types, from OB (hot) to M (cool) There are only a few quite bright stars (near the top) but lots of faint ones. (The bottom, magnitude 6, is the limit of the human eye.) There is no particular pattern: there are bright and faint hot stars, and bright and faint cool stars. This is because they are at a host of different distances – some near, some far. But Now a Miracle Let’s metaphorically ‘push and pull’ the stars until they are all at a common distance. This alllows us to intercompare their actual intrinsic brightnesses – how bright they really are (their ‘absolute magnitudes’). To do so, go under the ‘Options’ and ‘HR-Diagram Options’ tabs, and turn on the ‘Use absolute magnitudes’ option. The plotted diagram changes dramatically! (shown on the next panel, with comments to follow) The HR Diagram! The Interpretation The numerical scale on the left is how bright each star would appear if it was exactly 10 parsecs away from us. (This is an arbitrarily-chosen common distance that allows the intercomparison; don’t worry about that.) The important point is that the stars in the figure are no longer randomly distributed! In particular: The hottest stars (OB) tend to be very bright (high up). There seem to be no (or very few) stars that are hot but intrinsically faint. There is a long diagonal sequence from the hot bright stars down towards the cooler faint stars (lower right) But there are also cool stars that are very bright (top right) A Great Discovery! Unfortunately, You and I Have Been Scooped This correlation between intrinsic luminosity and spectral type was first done in 1913 (just over a century ago) by Enjar Hertzsprung and Henry Norris Russell (working independently) hence the HR diagram. Get to Know the HR Diagram! It is, without any doubt, the most important representation in all of stellar astronomy It holds the key to understanding stellar evolution, the lifetimes of stars, and everything else… A Modern Version (a few million stars, with distances from HIPPARCOS!) Some Named Stars Remember the magnitude scale! Betelgeuse and Rigel, at -5, are each 10 magnitudes brighter than the Sun (middle of the plot, near +5). Every difference of 5 mags is a factor of 100, so they are 100x100 = 10,000 times as bright as the sun. But they are 100,000,000 times as bright as Proxima Centauri (bottom right)! The Distribution of Points is Not Random! How Do We Understand That? First, we assign the following labels : The main sequence Red giants Supergiants White dwarfs And then seek to understand what is going on…