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The Detection and Properties of Planetary Systems Prof. Dr. Artie Hatzes Artie Hatzes Tel:036427-863-51 Email: [email protected] www.tls-tautenburg.de→Lehre→Vorlesungen→Jena The Detection and Properties of Planetary Systems: Wed. 14-16 h Hörsaal 2, Physik, Helmholz 5 Prof. Dr. Artie Hatzes The Formation and Evolution of Planetary Systems: Thurs. 14-16 h Hörsaal 2, Physik, Helmholz 5 Prof. Dr. Alexander Krivov Exercises Wed. 12-14 and Thurs. 16-18 h Seminarraum AIU, Schillergässchen 2 Dr. Torsten Löhne Detection and Properties of Planetary Systems 15. AprilIntroduction 22. AprilThe Doppler Method 29. April Results from Doppler Surveys I. 29. April Results from Doppler Surveys II 06. May The Transit Method from the Ground 13. May The Transit Method from Space: Kepler and CoRoT 13. May The Characterization of Planets 20. May CoRoT-7: The first transiting terrestrial planet 27. May Astrometry 27. May Microlensing 03. June Terrestrial Planets in the Habitable Zone 10. June Future Space Missions or Direct Imaging 17. June Guest (TBD) 24. June Guest (TBD) Preliminary Program, subject to change, particularly on „double“ lectures Literature Planet Quest, Ken Croswell (popular) Extrasolar Planets, Stuart Clark (popular) Extasolar Planets, eds. P. Cassen. T. Guillot, A. Quirrenbach (advanced) Planetary Systems: Formation, Evolution, and Detection, F. Burke, J. Rahe, and E. Roettger (eds) (1992: Pre-51 Peg) Introduction Outline 1. Early Models of the Solar System 1. Geocentric 2. Heliocentric 2. Tour of Our Solar System 3. Extrasolar Planets 1. Our expectations 2. How do we find them? The Geocentric Solar System The Geocentric Solar System: Eudoxus Eudoxus of Cnidus (410 -355 B.C.) developed the two sphere model, a spherical Earth and a spherical heavenly realm. Each planet had its own concentric sphere that rotated at a different rate. Problem: Could not predict planet motions Apollonius of Perga (262-190 B.C.): Epicycles To account for the true motion of planets and to explain retrograde motion Apollonius introduced epicyles This could also explain the changing brightness of planets Claudius Ptolemy (90-168 AD): The Ptolemaic System In the Almagest he extended the concepts of the ancient Greeks and Babylonians The Ptolemaic System dominated astronomical thought until well into the Renaissance Capellan Geocentic Model • Martianus Capella (5th century) • Paul Wittich (1546-1586) In the Capellan model Mercury and Venus orbit the Sun, but the Sun and outer planets orbit the stationary Earth Tycho Brahe (1546-1601): The Tychonic Model Proposed a more radical form of the Capellan system where all the other planets orbit the sun, but the sun orbits the stationary earth. Reason: if the earth moved one should observer stellar parallax, which he did not. In a sense, this combined the Copernican and Ptolemaic systems The Heliocentric Solar System Aristarchus (310 – 230 B.C.) • Believed that stars were infinitely far away and thus would show no parallax • Determined the diameter of the moon was about 4400 km (actual 3500 km) • Estimated the distance and size of the Sun (incorrectly, but due to poor data) • Proposed Heliocentric Model of the solar system Copernicus (1473-1543) First proposed a modern version of the heliocentric model. He published this just before his death. Given the hostility of the church, this was probably a good idea! • Because Copernicus only used circular orbits he could not reproduce the motion of the planets • The Tychonic (Ptolemaic) System could because it had more degrees of freedom. • Purely on the basis of reproducing the observations one would have to choose the Tychonic System over the Copernican system Support for the Copernican Model: Galileo (1564-1642) Note: phases of Venus still compatible with Capellan model Galileo observed the phases of Venus which showed the full set of phases. According to the Ptolemaic system, only crescent phases could be observed. Strong support of the geocentric model, but what about planet motion? Kepler (1571-1630): Orbits Explained Kepler was an assistant to Tycho and used his observations to devise his three laws that could explain all the orbital motions of the planets. 1. The orbit of every planet is an ellipse and the sun is at one focus 2. A line joining the planet and the sun sweeps out equal areas during equal intervals of time (conservation of angular momentum) 3. P2 = a3 Retrograde Motion Explained Our Solar System Today A quick tour of our solar system A good source for this is: www.nineplanets.org and solarsystem.nasa.gov Mercury Distance: 0.38 AU Period: 0.23 years Radius: 0.38 RE Mass: 0.055 ME Density 5.43 gm/cm3 (second densest) Satellites: None Structure: Iron Core (~1900 km), silicate mantle (~500 km) Temperature: 90K – 700 K Magnetic Field: 1% Earth Atmosphere: Thin, bombarded by Solar Wind and constantly replenished Venus Distance: 0.72 AU Period: 0.61 years Radius: 0.94 RE Mass: 0.82 ME Density 5.4 gm/cm3 Satellites: None (1672 Cassini reported a companion) Structure: Similar to Earth Iron Core (~3000 km), rocky mantle Temperature: 400 – 700 K (Greenhouse effect) Magnetic Field: None (due to slow rotation) Atmosphere: Mostly Carbon Dioxide Pancake volcanoes Magellan Radar Imaging Sif Mons Earth Distance: 1.0 AU (1.5 ×1013 cm) Period: 1 year Radius: 1 RE (6378 km) Mass: 1 ME (5.97 ×1027 gm) Density 5.50 gm/cm3 (densest) Satellites: Moon (Sodium atmosphere) Structure: Iron/Nickel Core (~5000 km), rocky mantle Temperature: -85 to 58 C (mild Greenhouse effect) Magnetic Field: Modest Atmosphere: 77% Nitrogen, 21 % Oxygen , CO2, water Mars Distance: 1.5 AU Period: 1.87 years Radius: 0.53 RE Mass: 0.11 ME Density: 4.0 gm/cm3 Satellites: Phobos and Deimos Structure: Dense Core (~1700 km), rocky mantle, thin crust Temperature: -87 to -5 C Magnetic Field: Weak and variable (some parts strong) Atmosphere: 95% CO2, 3% Nitrogen, argon, traces of oxygen Phobos Deimos Are believed To be captured asteroids Jupiter Distance: 5.2 AU Period: 11.9 years Diameter: 11.2 RE (equatorial) Mass: 318 ME Density 1.24 gm/cm3 Satellites: > 20 Structure: Rocky Core of 10-13 ME, surrounded by liquid metallic hydrogen Temperature: -148 C Magnetic Field: Huge Atmosphere: 90% Hydrogen, 10% Helium The Oscillating Brown Oval (Hatzes et al. 1981) Saturn Distance: 9.54 AU Period: 29.47 years Radius: 9.45 RE (equatorial) = 0.84 RJ Mass: 95 ME (0.3 MJ) Density 0.62 gm/cm3 (least dense) Satellites: > 20 Structure: Similar to Jupiter Temperature: -178 C Magnetic Field: Large Atmosphere: 75% Hydrogen, 25% Helium Uranus Distance: 19.2 AU Period: 84 years Radius: 4.0 RE (equatorial) = 0.36 RJ Mass: 14.5 ME (0.05 MJ) Density: 1.25 gm/cm3 Satellites: > 20 Structure: Rocky Core, Similar to Jupiter but without metallic hydrogen Temperature: -216 C Magnetic Field: Large and decentered Atmosphere: 85% Hydrogen, 13% Helium, 2% Methane HST Image Voyager Neptune Distance: 30.06 AU Period: 164 years Radius: 3.88 RE (equatorial) = 0.35 RJ Mass: 17 ME (0.05 MJ) Density: 1.6 gm/cm3 (second densest) Satellites: 7 Structure: Rocky Core, no metallic Hydrogen (like Uranus) Temperature: -214 C Magnetic Field: Large Atmosphere: Hydrogen and Helium 2006 IAU Definition of a Planet 1. is in orbit around the Sun, 2. has sufficient mass to assume hydrostatic equlibrium (a nearly round shape), and 3. has „cleared the neighborhood" around its orbit. If a non-satellite body fulfills the first two criteria it is termed a „dwarf planet“. Originally, the IAU wanted to consider all dwarf planets as planets. Under the new definition Pluto is no longer a planet, but rather a dwarf planet. 9 Pluto before 2006 Pluto at the IAU 2006 Pluto today Completing the Census: Satellites 8 Europa Titan Io Triton Planetary Rings Jupiter Saturn Uranus Neptune Trans-Neptunian Objects 5 7 Plutoids Name Orcus Ixion Huya Varuna Quaoar Sedna Pluto Radius (km) 1100 980 480 780 1290 1800 2274 Distance (AU) 39 40 40 43 44 486 39.5 Comets Extrasolar Planets Why Search for Extrasolar Planets? • How do planetary systems form? • Is this a common or an infrequent event? • How unique are the properties of our own solar system? • Are these qualities important for life to form? Up until now we have had only one laboratory to test planet formation theories. We need more! The Concept of Extrasolar Planets Democritus (460-370 B.C.): "There are innumerable worlds which differ in size. In some worlds there is no sun and moon, in others they are larger than in our world, and in others more numerous. They are destroyed by colliding with each other. There are some worlds without any living creatures, plants, or moisture." Giordano Bruno (1548-1600) Believed that the Universe was infinite and that other worlds exists. He was burned at the stake for his beliefs. What kinds of explanetary systems do we expect to find? The standard model of the formation of the sun is that it collapses under gravity from a proto-cloud Because of rotation it collapses into a disk. Jets and other mechanisms provide a means to remove angular momentum The net result is you have a protoplanetary disk out of which planets form. Expectations of Exoplanetary Systems from our Solar System • Solar proto-planetary disk was viscous. Any eccentric orbits would rapidly be damped out – Exoplanets should be in circular orbits • Giant planets need a lot of solid core to build up sufficient mass to accrete an envelope. This core should form beyond a so-called ice line at 3-5 AU – Giant Planets should be found at distances > 3 AU • Our solar system is dominated by Jupiter – Exoplanetary systems should have one Jovian planet • Only Terrestrial planets are found in inner regions • Expect that satellites and rings to be common So how do we define an extrasolar Planet? We can simply use mass: Star: Has sufficient mass to fuse hydrogen to helium. M > 80 MJupiter Brown Dwarf: Insufficient mass to ignite hydrogen, but can undergo a period of Deuterium burning. 13 MJupiter < M < 80 MJupiter Planet: Formation mechanism unknown, but insufficient mass to ignite hydrogen or deuterium. M < 13 MJupiter IAU Working Definition of Exoplanet 1. 2. 3. Objects with true masses below the limiting mass for thermonuclear fusion of deuterium (currently calculated to be 13 Jupiter masses for objects of solar metallicity) that orbit stars or stellar remnants are "planets" (no matter how they formed). The minimum mass/size required for an extrasolar object to be considered a planet should be the same as that used in our Solar System. Substellar objects with true masses above the limiting mass for thermonuclear fusion of deuterium are "brown dwarfs", no matter how they formed nor where they are located. Free-floating objects in young star clusters with masses below the limiting mass for thermonuclear fusion of deuterium are not "planets", but are "sub-brown dwarfs" (or whatever name is most appropriate). In other words „A non-fusor in orbit around a fusor“ How to search for Exoplanets Indirect Techniques 1. Radial Velocity 2. Astrometry 3. Transits 4. Microlensing Direct Techniques 4. Spectroscopy/Photometry: Reflected or Radiated light 5. Imaging Radial velocity measurements using the Doppler Wobble The closer the planet, the higher the velocity amplitude: sensitive for near in planets Radial Velocity measurements Requirements: • Accuracy of better than 10 m/s • Stability for at least 10 Years Jupiter: 12 m/s, 11 years Saturn: 3 m/s, 30 years Astrometric Measurements of Spatial Wobble Center of mass q= m M a D 2q 2q = 8 mas at a Cen 2q = 1 mas at 10 pcs Current limits: 1-2 mas (ground) 0.1 mas (HST) • Since D ~ 1/D can only look at nearby stars Jupiter only 1 milliarc-seconds for a Star at 10 parsecs Microlensing Direct Imaging: This is hard! 1.000.000.000 times fainter planet 4 Arcseconds Separation = width of your hair at arms length For large orbital radii it is easier Transit Searches: Techniques Filling the parameter space requires ALL search techniques 2.0 Brown Dwarf Interferometry A0 1.0 C5,C6,C8 A5 A0 0.0 Log MJupiter -1.0 Imaging RV F3 A5 Jupiter Differential Imaging M5 K5 Transits Saturn M7 Astrometry G0 M9 M0 M8 Uranus M6 G2 Darwin M5 COROT/Kepler -2 Microlensing Earth -2.0 M7 -1.5 -1.0 -0.5 0.0 M9 0.5 Astrometry w/interferometry 1.0 Log Semi-major axis (AU) 1.5 2.0 Another reason to search for exoplanets The Earth as viewed from Voyager To find another „blue dot“