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Lecture 36: The Expanding Universe Review the ‘zoo’ of observed galaxies and the Hubble Sequence the distance ladder redshift Hubble’s Law and the expansion of the Universe Hubble Sequence Trends along the Hubble Sequence Elliptical Lenticular red old stars gas poor no star formation Spiral Irregular blue young stars gas rich lots of star formation The distance ladder planets nearby stars main sequence fitting nearby galaxies parallax Milky Way radar ranging Cepheid variable stars distant galaxies white dwarf supernovae Tully-Fisher relation Tully-Fisher Relation for spiral galaxies relationship between rotation velocity and luminosity measuring recession velocity reminder: Doppler formula redshift = z = (lobserved-lrest)/lrest recession velocity Hubble’s Law distance Hubble’s Law (modern version) Hubble’s Law Formula v = H0 r recession velocity = constant times distance units of H0: km/s/Mpc best estimates: H0 is between 65 km/s/Mpc and 79 km/s/Mpc Example: Using Hubble’s Law The K line of singly ionized calcium has a wavelength of 393.3 nm when measured in the laboratory. In the giant elliptical galaxy NGC4889, this line is observed to be at 401.8 nm. what is the redshift of this galaxy? what is its recession velocity? how far away is it? The expanding Universe Hubble’s Law implies that most galaxies are moving away from us and, the farther away they are, the faster they are moving away from us The center of the Universe? does this mean that we are at the center of the Universe? no – an observer in any other galaxy would see the same thing Cosmological Redshift The Cosmological Principle on large scales, the Universe is homogeneous (uniform) and isotropic (same in all directions) Is everything expanding? the expansion of space-time acts like a pressure where the force of gravity is stronger than the expansion pressure, a gravitationally bound object is formed for example, the stars in our Galaxy are bound together by gravity, so it does not expand. The Age of the Universe r now v = r/t = H0 r t = 1/H0 beginning of time space The Cosmological Horizon the distance that light can travel in the age of the Universe is called our cosmological horizon we cannot receive any information from beyond our horizon rhorizon = c/H0 = 4300 Mpc (assuming H0 = 70 km/s/Mpc) Lookback time time it takes for light to travel from an object to us directly related to redshift of object – more sensible measure of distance Coma Cluster Hercules Cluster (200 Mpc) Two Million Galaxies Large Scale Structure Galaxy Formation and Evolution How do galaxies form, and how do they change over time? Why do we see so many different kinds of galaxies? Are their differences a result of ‘nature’ or ‘nurture’? How do the properties of galaxies depend on their environment? let’s start from the beginning… the Universe started out very dense and very smooth (the `Big Bang’). there were small lumps caused by quantum fluctuations as the Universe expanded, these lumps grew larger and denser because of the force of gravity expanding collapsing