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Astronomy Essay - John Coleman DACE 201111 GC235 Introduction to astronomy DACE 2011 Assessment Essay by John Coleman 0709096 (5017 words) mailto:[email protected] Notes on an Introduction to astronomy Notes on an Introduction to astronomy 1 1 Introduction 2 2 The naming of parts 3 3 Starry, starry nights… 4 3.1 Diurnal motion..............................................4 3.2 Constellations ...............................................6 3.3 Clusters.........................................................7 3.4 Nebulae ........................................................7 4 … and Free Open Source Software for a rainy night 4.1 Stellarium [5] and Celestia [6] .....................8 4.2 hygxyz.csv [8] and exoplanets.csv [9] ...........9 4.3 OpenJUMP [10]............................................9 5 The Solar System 11 5.1 The Sun ...................................................... 12 5.2 The Planets [16].......................................... 13 6 Stars 18 6.1 Spectrometry............................................... 18 6.2 Measuring distance to stars ......................... 19 6.3 The Hertzprung-Russell (H-R) Diagram...... 22 7 References December 2011 8 24 Page 1 of 25 Astronomy Essay - John Coleman DACE 201111 1 Introduction My DACE philosophy course on The idea of religion was cancelled at the last minute due to lack of interest – so I switched to Introduction to astronomy. Hitherto, I have completed four DACE courses on various aspects of philosophy and three on introductory geology. Introduction to astronomy fits into that syllabus quite well actually; there is a common theme of Natural Philosophy. Natural Philosophy is a phrase that I like, not only because it includes my degree subject of physics, but also because it implies a rational approach and natural science. Previously I have hardly studied astronomy at all, beyond a casual interest in constellation spotting and a memorable inspection of Jupiter’s moons by telescope on a starry night at a school event. I have bored my family occasionally by trotting out the same old ‘amazing facts’ about the size of Betelgeuse and how the Moon keeps its far side hidden from us. Once upon a time I studied relativity and nuclear physics at university, then moved on to (briefly) teach Newton’s laws of motion and gravity at a secondary school in Yorkshire. I moved on again, into software engineering via medical physics and computer tomography; working with Geographical Information Systems, and (inevitably) database design. Now I am semi-retired and there’s time to keep my brain in gear by filling in some of the many gaps in my knowledge. Andrew Conway explained that Introduction to astronomy is an ACE course and that an assessment option is available, simply by providing a suitable essay or body of related work. Without a list of possible essay subjects I found it hard to December 2011 Page 2 of 25 Astronomy Essay - John Coleman DACE 201111 begin, but finally settled on presenting these notes as a kind of retrospective blog. I know from previous experience that attempting to set out what I have been told will help me learn it much better. I can’t cover the whole course in one essay so I will draw the line after The Hertzprung-Russell Diagram. References are by digits in square brackets, relating to numbered end-notes, which are hyperlinks to items in the Glasgow University Library catalogue, or remote WWW resources. Hyperlinks won’t work on printed hard-copy, so the references at least are best accessed on an Internet-enabled PC via the .pdf file and Adobe Reader. Most of these notes are based on Andrew Conway’s classes, supplemented by references to his recommended books, Inquest of the universe[1], and Universe[2], which I have found very useful. I have tried not to plagiarise too much but a few phrases from the reference works may be repeated verbatim, they are italicised. I don’t like to paraphrase just for the sake of it and I am far from expert at astronomy. 2 The naming of parts Andrew began with a glossary of astronomical terms – he chooses his words carefully: star massive gas cloud planet less massive cloud, of gas or rock and ice constellation group of stars, not necessarily closely co-located in space cluster group of stars co-located in relatively small area of space nebula gas cloud galaxy enormous collection of stars universe everything December 2011 Page 3 of 25 Astronomy Essay - John Coleman DACE 201111 3 Starry, starry nights… …are quite rare in Glasgow, often due to overcast weather and always due to urban light pollution. People in remoter places on cloudless nights enjoy super night skies. Night after night they can observe stars rising above the eastern horizon and setting below the western horizon, while remaining fixed in position relative to the neighbouring stars in their constellation. 3.1 Diurnal motion It is not quite so easy to observe stars moving across the sky during the night, but a simple long exposure photograph demonstrates it clearly: see Figure 1. Figure 1: The Heilig-Kreuz-Kirche in Bad Tölz, Germany, long time exposure. [3] Some stars never rise or set, they seem to follow a circular path around the pole star, Polaris (in the Northern hemisphere – there is no similarly convenient polar star in the southern hemisphere). These stars are called circumpolar and the list of circumpolar stars is determined by the viewer’s latitude. In Glasgow, at N 55° 52' 12.00" all the stars within ~34° (i.e. 90-56) of Polaris are circumpolar, including December 2011 Page 4 of 25 Astronomy Essay - John Coleman DACE 201111 Vega. These stars just appear after sunset, when sunlight scattered through the atmosphere decreases sufficiently for them to become visible. Andrew Conway casually mentioned that any given star rises 4 minutes earlier on each successive night – leaving me trying to get my head round why that should be! It turns out that the earth’s period of rotation with respect to the fixed stars, the sidereal day, is actually 23 hours 56 minutes but with respect to the sun, the solar day, it is 24 hours exactly. The extra 4 minutes are because during each rotation, the earth moves relative to the sun as it continues its annual orbit. As it does so the earth’s nighttime hemisphere includes progressive zodiacal constellations, while the sun is ‘in’ the diametrically opposite constellation. Figure 2 show the apparent ecliptic path of the sun through the zodiacal constellations. Figure 2: Ecliptic path [4] December 2011 Page 5 of 25 Astronomy Essay - John Coleman DACE 201111 It is easy to see why the ancient astronomers adopted a geocentric model, with the earth at the centre of an immense celestial sphere and the fixed stars embedded in its surface. They easily explained the stars’ diurnal motion by proposing that the celestial sphere rotates around the earth. But how to explain the apparent movement of the sun through the other stars? Ancient Greek astronomers were also aware of other heavenly bodies, apart from the Sun and Moon, which were clearly not fixed to any celestial sphere - namely Mercury, Venus, Mars, Jupiter and Saturn. These are the planets, named from the Greek word for wanderer because they seem to wander among the stars. They are very difficult to explain on a geocentric basis, although Ptolemy tried hard in the 2nd century A.D. His Ptolemaic system was finally blown away by Copernicus (1473-1543) who developed a comprehensive heliocentric model, and all without the use of a telescope – which was not invented until the 17th century. 3.2 Constellations Only about 6000 stars are visible by eye unaided, and half of them are below the horizon at any one time. The ancient astronomers only named constellations of bright stars that were familiar to them, so many stars would not be associated with a particular constellation. Modern astronomers divide the whole sky into 88 touching regions, each identified as a constellation – thus all stars (and clusters and nebulae etc) relate to a constellation, but it might not look much like a great bear or a hunter. There are five circumpolar constellations in northern skies: Cassiopeia, Cepheus, Draco, Ursa Major and Ursa Minor. The others are more seasonal e.g. Orion is prominent in the winter and Scorpius in the summer (when the nights are shorter). December 2011 Page 6 of 25 Astronomy Essay - John Coleman DACE 201111 Many people recognise Betelgeuse in Orion as an orange or reddish star, and Rigel as a bluish colour but reporting colour by eye is notoriously subjective. Modern spectroscopy is utterly objective and very accurate. Andrew proposed that astronomy + spectroscopy = astro-physics. 3.3 Clusters Star clusters are important because they are closely related to each other in space. They probably all formed at about the same time from the same giant molecular cloud, so they should have a similar chemical composition. Because they are relatively closely co-located their relative apparent magnitude is (for a change) directly proportional to their relative absolute magnitude – there is no need to correct for vast differences in distance. Studying star clusters has been very useful in pursuit of understanding how stars are formed. The Pleiades (M45) is an open cluster in the constellation of Taurus, it includes ~500 stars, 6 of which can be seen with the naked eye. The Great Globular Cluster in Hercules (M13) is a globular cluster, with about 300,000 stars! Globular clusters are spherical groups of up to hundreds of thousands of stars, found primarily in the halo of the Galaxy. 3.4 Nebulae Orion is also ‘home’ to two important nebulae, the Great Orion Nebula and the Horsehead Nebula. Nebulae are giant clouds of gas, illuminated by light from the stars within them. They may be massive but they are huge, less densely populated than a laboratory vacuum! The Great Orion Nebula is a diffuse nebula situated south of Orion's Belt. It is one of the brightest nebulae and is visible to December 2011 Page 7 of 25 Astronomy Essay - John Coleman DACE 201111 the naked eye in the night sky, a stellar ‘nursery’ where stars are formed from the nebula’s gas. The Horsehead Nebula comprises clouds of interstellar dust which block light from a bright nebula behind. Nebulae may be visible by emission (e.g. Great Orion), reflection, or occlusion (e.g. Horsehead). There are also planetary nebulae, so called because they were first thought to be similar in colour to Uranus and Neptune. They have no other similarity with planets. The Ring Nebula (M57) is a famous planetary nebula in Lyra, located south of the bright star Vega. It is a good starter target for a new telescope. 4 … and Free Open Source Software for a rainy night 4.1 Stellarium [5] and Celestia [6] Andrew explained to us that on a typical, 10 session, Introduction to Astronomy course in Glasgow there might be one good starry night. We are still hoping. But meantime he introduced us to some great free software, and has used it to very good effect in the classroom (Celestia), and even better in the planetarium (stellarium). I have installed them both and they are very good. Stellarium is the amateur astronomer’s equivalent of Google Streetview – no need to go out on a cold rainy night, just use stellarium to inspect what you could see except for the overcast and light pollution. Celestia is a simulator for aspirant astronauts who want to jump to light-speed and beyond. Star-trek meets 3D modelling, complete with warp-drive sound effects. Quite good fun but astronaut training is required – I like stellarium better, especially as I don’t have an android smart phone to run December 2011 Page 8 of 25 Astronomy Essay - John Coleman DACE 201111 Google Sky Map[7]. Celestia is very good though for giving an impression of the vastness of the universe. 4.2 hygxyz.csv [8] and exoplanets.csv [9] Not software exactly, but free machine-readable catalogues of stars and exoplanets respectively. I downloaded hygxyz.csv and inserted the data into my PostGIS database, in a spatially enabled version of the Postgres database server (both free as well). That installs records for 119,617 stars, with most of the important parameters: HIP, HD, HR, Gliese catalogue IDs; proper and BF names; RA and Dec; Distance; Mag; AbsMag; spectral type; Cartesian coordinates; Cartesian velocities. Now I can analyse the data with any database query I choose e.g. SELECT * FROM Star WHERE DEC > 34 to find the stars which are circumpolar at Glasgow. 4.3 OpenJUMP [10] A spatially enabled database is no fun unless you can make maps from its content. I installed OpenJUMP, which can connect to PostGIS. Now I can use PostGIS to make stereographic projections (or other projections) of selected parts of the celestial sphere, and use OpenJUMP to inspect the result. After some considerable effort I achieved what Ptolemy worked out about 2000 years ago, see Figure 3. PostGIS can also emit ESRI shapefiles (map files) which can be viewed via ESRI’s free map viewers, ArcExplorer or ArcGIS Explorer – so that’s another way to make star maps. December 2011 Page 9 of 25 Astronomy Essay - John Coleman DACE 201111 Figure 3: PostGIS stereographic projections via OpenJUMP spot the Plough December 2011 Page 10 of 25 Astronomy Essay - John Coleman DACE 201111 5 The Solar System At the second session Andrew began to discuss the solar system. Figure 4: Solar system montage [11] Figure 4 shows a nice photo montage released by NASA with images acquired by various spacecraft, and captioned: This is a montage of planetary images taken by spacecraft managed by the Jet Propulsion Laboratory in Pasadena, CA. Included are (from top to bottom) images of Mercury, Venus, Earth (and Moon), Mars, Jupiter, Saturn, Uranus and Neptune. … Pluto is not shown as it is not a planet and no spacecraft has yet visited it. The inner planets (Mercury, Venus, Earth, Moon, and Mars) are roughly to scale to each other; the outer planets (Jupiter, Saturn, Uranus, and Neptune) are roughly to scale to each other. December 2011 Page 11 of 25 Astronomy Essay - John Coleman DACE 201111 5.1 The Sun The sun (aka Sol), our star, is a massive ball of hot gas comprising about 75% hydrogen and 25% helium, which is typical of stars. It must not be viewed directly by telescope at risk of very serious injury. Figure 5 shows a photograph taken with a 4" Maksutov telescope and Figure 5: Sun with sunspots [12] foil-filter ND 4. Sunspots were first spotted (by Gallileo?) in 1611 and their occurrence has been found to follow an 11 year cycle [13], which indicates solar activity. More sunspots mean increased solar activity, when great blooms of radiation known as solar flares or bursts of solar material known as coronal mass ejections (CMEs) shoot off the sun's surface. The highest number of sun spots in any given cycle is designated "solar maximum," while the lowest number is designated "solar minimum." Each cycle varies dramatically in intensity with some solar maxima being so low as to be almost indistinguishable from the preceding minimum. Sunspots are regions where the sun’s surface is cooler because magnetic field fluctuations prevent material coming to the surface. They appear in pairs and groups. The number of spots waxes and wanes during the 11 year solar cycle. December 2011 Page 12 of 25 Astronomy Essay - John Coleman DACE 201111 The cycle is caused by the dynamic nature of the sun’s magnetic material, leading to a magnetic pole reversal (flip) every 11 years – approximately. The solar cycle also affects the emission of short-wavelength solar radiation, including UV and X-rays, which are emitted by very hot gases at temperatures > millions °C. A letter in Nature[14] suggests that low solar activity, as observed during recent years, drives cold winters in northern Europe and the United States. UV radiation increases the temperature and density of the Earth’s atmosphere and The large variations imply that satellites will decay more rapidly during periods of solar maxima and much more slowly during solar minima [15]. 5.2 The Planets [16] Pluto was relegated by the International Astronomical Union from its position as the Earth’s ninth planet to a new category, dwarf planet, in 2006. Pluto, Eris and the asteroid Ceres became the first dwarf planets. Unlike planets, dwarf planets lack the gravitational muscle to sweep up or scatter objects near their orbits.[17] The remaining eight planets divide into two groups, the inner planets: Mercury; Venus; Earth; Mars, and the outer planets: Jupiter; Saturn; Uranus; Neptune. Extracting from [18]: The inner planets and outer planets are characterized by different features. The 4 inner planets are called terrestrial planets because they have a solid surface and are similar to Earth. These planets are composed of heavy metal, such as iron and nickel and have few or no moons. Mercury, the smallest planet, has no moons and is comprised mostly of iron and nickel. It is one of the densest planets in the Solar System. Venus, known for its brightness, has a rocky surface similar December 2011 Page 13 of 25 Astronomy Essay - John Coleman DACE 201111 to the Moon, which is hidden by its thick yellow atmosphere. Like Mercury, Venus has no moon. Earth is a rocky planet with a molten core, an atmosphere that allows life to flourish, and only one moon. The last inner planet, Mars, has two moons called Phobos and Deimos. It is a rocky planet with a red color caused by a high concentration of iron in the rocks that comprise the surface. The outer planets, also called Jovian planets or gas giants, are gaseous with no solid surfaces and only liquid cores. The outer planets are so much larger than the inner planets that they comprise 99% of the mass of the celestial objects orbiting our Sun. In addition Andrew provided: • Mercury: closest to the Sun, looks almost lunar. Mariner 10 orbited Mercury in and produced mosaic images [19]. Volcanic activity obscure – Messenger [20] provided evidence of impact craters with lava flows. • Venus: appears blank because it is shrouded in cloud, we don’t see the surface. Space probes e.g. Magellan [21] can ‘see’ through the clouds. Hotter than Mercury by virtue of its greenhouse effect – Venus reaches 700°K, 4500°C hotter than Earth. Atmospheric pressure on Venus is crushing. • Earth: without the greenhouse effect [22] Earth would be a frozen planet. Moon seems to wobble and gets larger and smaller as it approaches and recedes in a not quite circular orbit. Moon is largest planet (wrt its primary planet) in the solar system, having a diameter 25% that of Earth. • Mars: is colder than Earth because it is much further from Sun - 10°C at its equatorial best but mostly sub-zero. Martian atmosphere (mostly C02) December 2011 Page 14 of 25 Astronomy Essay - John Coleman DACE 201111 has much lower pressure than Earth. So low that ice turns straight to vapour – no liquid water now on Mars but some evidence of surface water in the past. Martian surface is reddish and atmosphere is pinkish, not blue like ours. Mars probe, Spirit has sent photos [23] and Viking has tested for microbial presence but The biology experiment produced no evidence of life at either landing site [24] – but there has been criticism that it might not rule out some Antarctic like life forms [25]. Mars has two small moons Phobos (from Gr. for fear) and Deimos (from Gr. for panic). • Jupiter: big jump beyond Mars – and the intervening asteroid belt. Asteroids are rocky, airless worlds that orbit our sun, but are too small to be called planets. Tens of thousands of these "minor planets" are gathered in the main asteroid belt, a vast doughnut-shaped ring between the orbits of Mars and Jupiter. Asteroids that pass close to Earth are called Near-Earth Objects [16]. Jupiter is 5 times further out from the Sun than Earth and much bigger – the Earth would fit into Jupiter’s Great Red Spot, which is a massive storm which has raged for hundreds of years. Surface appears banded and red spotted. Amateur astronomers may see Jupiter’s Galilean moons, or shadows of them: Ganymede; Io; Callisto; Europa. Io is still volcanically active, not solid throughout like our Moon. But Io is smaller than our Moon so why is it still active? Because Io’s orbit is close to Jupiter and it feels strong tidal (gravitational) forces which continually squeeze and relax to keep Io warm. Volcanic activity spews Sulphur into Io’s atmosphere making it appear reddish. • Saturn: rings visible with a smallish telescope [26]. There is as a largish gap between Saturn and its rings. They are very thin, a myriad of tiny December 2011 Page 15 of 25 Astronomy Essay - John Coleman DACE 201111 particles orbiting the planet. The main gap is called the Cassini Division – gaps are where there is no stable orbit for any particles. Saturn has 53 moons, including Titan which is almost as big as Jupiter’s Ganymede (largest moon in the solar system). • Uranus: was discovered in 1781 by William Herschel , the first planet discovered using a telescope. Is a gas giant i.e. no surface to stand on like Jupiter and Saturn, aka the Jovian planets - also known (with Neptune) as an ice giant! Has 27 moons, named from Shakespearean characters, and thin rings – which eclipsed stars and revealed themselves. Herschel was not allowed to name his planet Georgium Sidus (George's Star) for his royal sponsor, George III - Uranus was the Greek god of the Heavens. • Neptune: shows more ‘surface’ features (though it is a gas giant). Has some banding, and even spots like Jupiter. Neptune is smaller and more massive than Uranus. All the planets except Uranus orbit the Sun in the same direction and most (except Venus and Uranus) spin in the same direction. Uranus suffered two great impacts. Uranus rotates east to west. Uranus' rotation axis is tilted almost parallel to its orbital plane, so Uranus appears to be rotating on its side. This situation may be the result of a collision with a planet-sized body early in the planet's history, which apparently radically changed Uranus' rotation. Because of Uranus' unusual orientation, the planet experiences extreme variations in sunlight during each 20year-long season. [27] December 2011 Page 16 of 25 Astronomy Essay - John Coleman DACE 201111 Table 1 shows the principal orbit and body parameters for each planet. Andrew drew our attention to: • inclination of orbit relative to the ecliptic is mainly quite slight. (Pluto is exceptional) • orbital eccentricity is generally low – almost circular except Mercury (and Pluto) • mass of Mercury is only 6% of Earth’s – mass of Jupiter is 318 x Earth’s! • radius of Earth is 2.6 x radius of Mercury - radius of Jupiter is 11.2 x radius of Earth Table 1: Planetary Physical Data [28] Mercury Venus Earth 0.3871 0.7233 1 Sidereal period of orbit (years) 0.24 0.62 Mean Orbital Velocity (km/sec) 47.89 Orbital Eccentricity Planetary Physical Data Mean Distance from the Sun (AU) Jupiter Saturn Uranus Neptune 1.524 5.203 9.539 19.19 30.06 1 1.88 11.86 29.46 84.01 164.79 35.04 29.79 24.14 13.06 9.64 6.81 5.43 0.206 0.007 0.017 0.093 0.048 0.056 0.046 0.01 7 3.4 0 1.85 1.3 2.49 0.77 1.77 2439 6052 6378 3397 71490 60268 25559 25269 6357 3380 66854 54360 24973 24340 Inclination to ecliptic (degrees) Equatorial Radius (km) Polar Radius (km) same same Mars Mass of planet (Earth=1) 0.06 0.82 1 0.11 317.89 95.18 14.53 17.14 Mean density (grams/centimeter³ ) 5.43 5.25 5.52 3.95 1.33 0.69 1.29 1.64 Body rotation period (hours) 1408 5832 23.93 24.62 9.92 10.66 17.24 16.11 Tilt of equator to orbit (degrees) 2 177.3 23.45 25.19 3.12 26.73 97.86 29.6 Number of observed satellites 0 0 1 2 30 24 8 December 2011 >28 Page 17 of 25 Astronomy Essay - John Coleman DACE 201111 6 Stars Our Sun is a pretty typical star: • a massive ball of hot gas • emits radiation (light) • composition by mass: 70% Hydrogen; 28% Helium; <2% other elements • self-powered – by nuclear fusion at core • surface temperature 5777 K (most stars are in the range thousands to tens of thousands K) • held together by gravity 6.1 Spectrometry In 1862 Sir William Thomson determined that heat is radiated from the sun at a rate not more than from fifteen to forty-five times as high as that at which heat is generated on the grate-bars of a locomotive furnace, per equal areas [29]. Thomson went on to become Lord Kelvin, after his favourite river, and to invent his eponymous scale of temperature. Now we can use intensity v wavelength curves to compare surface temperatures of stars. Andrew showed us how the Planck Radiation Law predicts that a blackbody radiator will emit radiation with peak intensity at a wavelength which depends on its surface temperature [30]. Figure 6 shows spectra for 3 different stars, including Sol. A hot blue star like Spica (23,000K) emits radiation with peak intensity at a shorter wavelength than a cooler red star like Antares (3,400K). December 2011 Page 18 of 25 Astronomy Essay - John Coleman DACE 201111 Figure 6: Measuring the temperature of stars [31] So we can determine the surface temperature of a star by examining its intensity v wavelength graph. Furthermore, spectrographic analysis of absorption spectra allows the determination of a star’s chemical composition, and possibly an independent evaluation of it temperature, by virtue of the strength of the absorption lines. Absorption lines can be affected by the Doppler effect and this is used to determine the radial speed of a star – light from receding stars is redshifted and light from approaching stars is blueshifted. Spectrometry is very useful then, but none of this determines distance. 6.2 Measuring distance to stars Determining the distance to stars is difficult, given the available parameters. Apparent magnitude is always available and if we knew the absolute magnitude we could determine distance from that. Contrariwise, it is very difficult to determine the absolute magnitude without knowing the star’s distance. December 2011 Page 19 of 25 Astronomy Essay - John Coleman DACE 201111 The most direct method for determining distance is by stellar parallax, the apparent movement of nearby stars against the background of very remote stars caused by viewpoint moving as the Earth orbits the Sun, see Figure 7. Figure 7: Stellar Parallax [32] Current technology allows us to determine the distance accurately to within a few hundred light-years. Hipparcos mission (European Space Agency) measured the stellar parallax of roughly 100,000 stars with precision of a few milli-arcseconds. The stellar parallax method is good, but only for stars within about 500 parsecs (1 parsec = 3.26 light-years) – beyond that, parallax angles are too small. The spectroscopic parallax method is quite accurate out to about 10 kpc from Earth but it involves ‘looking up’ the star’s luminosity, and hence absolute magnitude, from The Hertzprung-Russell (H-R) Diagram using the star’s temperature as the key. The star’s temperature is available by spectrometry but the H-R diagram cannot itself be derived without luminosity data, which is often a derivative of distance. This seems rather unsatisfactory to me. December 2011 Page 20 of 25 Astronomy Essay - John Coleman DACE 201111 Given a star’s luminosity (effectively its absolute magnitude) we could determine its distance from its apparent magnitude, so another technique for remoter stars is to seek a standard candle star close by, whose luminosity is known independently. Cepheid variable stars make good standard candles at distances up to 30Mpc (100Mly). Cepheids are pulsating stars with a period directly proportional to their luminosity, more luminous Cepheids have a longer period. Thus, the Cepheid’s luminosity can be determined by its period, and hence its distance from Earth by its apparent magnitude. Beyond 30Mpc Type 1a Supernovae (more later – in Death of Massive Stars) have been used in a similar way as standard candles. Finally, a correlation has been discovered for rotating galaxies (by Tully-Fisher) between the width of a Hydrogen line in the emission spectrum, and luminosity. More luminous galaxies have wider emission lines. So this correlation can lead to the distance from Earth of entire galaxies up to 100Mpc distant or more. Figure 8: The Distance Ladder [33] December 2011 Page 21 of 25 Astronomy Essay - John Coleman DACE 201111 Figure 8 shows the so-called Distance Ladder, displaying the various techniques for determining stellar distances, and their range of efficacy. The ranges of adjacent techniques overlap of course and astronomers use adjacent pairs to calibrate each other. 6.3 The Hertzprung-Russell (H-R) Diagram Hertzprung and Russell independently came up with this chart, in 1911 and 1913 respectively. Effectively they plotted star temperature against absolute magnitude and looked for a correlation. They found the Main Sequence etc and their diagram has become indispensable in astrophysics. Figure 9 is a useful form of it because Figure 9: The Hertzprung-Russell Diagram [34] December 2011 Page 22 of 25 Astronomy Essay - John Coleman DACE 201111 all four sides are labelled with an axis. The top horizontal axis, Effective Temperature, is equivalent to the bottom horizontal axis, Spectral Class. Annie J. Cannon devised the Spectral Class scheme by classifying very many stars by spectral type. She labelled them alphabetically but later they were rearranged by temperature and some classes were dropped. The result is the astronomer’s arcane sequence Oh Be A Fine Girl Kiss Me. Similarly, the left vertical axis, Absolute Magnitude, is effectively the same thing as the right vertical axis, Luminosity compared to the Sun. Counter-intuitively Effective Temperature increases from right to left and the brightest stars have negative Absolute Magnitude, astronomers like it like that. At least Luminosity increases upwards. 90% of all stars are in the Main Sequence ranging from hot, luminous, blue stars at top left to cool, dim, red stars at bottom right. Our Sun is a G2V star – G2 from its Spectral Class and V from its H-R luminosity class ( V = Main Sequence ). Stars in the upper right corner are both luminous and cool, which implies that they must be very big because the radiation laws mean that the intensity of light per unit area radiated is relatively low. These are the Giants and Supergiants and together they comprise about 1% of all stars. Betelgeuse is a Supergiant, it is so big that the Earth’s orbit would easily fit inside it – that’s my old ‘amazing fact’ about Betelgeuse. Stars in the bottom left corner, the remaining 9%, are hot and dim, so radiation laws tell us they must be very small. These are the White Dwarfs. So the H-R diagram shows that all stars fall into a few distinct types. It turns out that the types represent different stages of a star’s lifetime, from ‘birth’ to ‘death’ but my description of that will have to wait until another day, or perhaps a few days. December 2011 Page 23 of 25 Astronomy Essay - John Coleman DACE 201111 7 References All references are hyperlinks to web resources or the Glasgow University library catalogue. 1. In quest of the universe Author: Karl F Kuhn Publisher: Sudbury, Mass. : Jones and Bartlett Publishers, ©1998. 2. Universe Author: Publisher: Roger A Freedman; William J Kaufmann New York : W.H. Freeman, ©2002. 3. The Heilig-Kreuz-Kirche in Bad Tölz, Germany, long time exposure. 4. Ecliptic path.jpg 5. stellarium 6. Celestia 7. Google Sky Map 8. The HYG database 9. exoplanets.csv 10. OpenJUMP 11. Solar System Montage 12. Sun_with_sunspots.JPG 13. The Sunspot Cycle 14. Solar forcing of winter climate variability in the Northern Hemisphere 15. ORBITAL MECHANICS - Perturbations from Atmospheric Drag 16. Solar System Exploration - Planets 17. Solar System Exploration - Dwarf Planets 18. Inner and outer planets 19. Mercury - Mariner 10 Global mosaic of Mercury 20. Evidence of past volcanic activity on Mercury December 2011 Page 24 of 25 Astronomy Essay - John Coleman DACE 201111 21. Magellan Mission to Venus 22. Greenhouse Gases/Effect 23. Spirit’s snapshots of Mars 24. Viking Mission to Mars 25. An exobiological strategy for Mars exploration - The search for extant life 26. Solar System Exploration - Planets/Saturn/Rings 27. Solar System Exploration - Planets/Uranus 28. Planetary Physical Data 29. On the Age of the Sun’s Heat 30. Radiation Laws 31. Measuring the Temperature of Stars - Slide 7 32. Determination of Distance - Slide 10 33. Cosmic Distance Ladder – Slide 3 34. The Hertzprung-Russell Diagram December 2011 Page 25 of 25