GSC307 Introduction to Global Geophysics GSC307 Introduction to Global Geophysics Today Kepler’s Laws In • Lecture: – Earth as a Planet – Plate Tectonics 17th century, Kepler created 3 empirical laws of planetary motion – = based on observations alone 1. orbit of each planet is ellipse with Sun at one focus V B !PHELION 0g P R A 3 ! 1 ! 0 R 0ERIHELION 1g V 4/7/2015 Cal Poly Pomona 4/7/2015 Cal Poly Pomona GSC307 Introduction to Global Geophysics GSC307 Introduction to Global Geophysics Kepler’s 2nd Law of Planetary Motion Question 2. The orbital radius of a planet sweeps out equal areas in equal time Which trajectories are possible stable orbital paths (of a planet around a single star)? 4/7/2015 Cal Poly Pomona 4/7/2015 Cal Poly Pomona 1 GSC307 Introduction to Global Geophysics GSC307 Introduction to Global Geophysics Kepler’s 2nd Law Kepler’s 3rd Law p2 = a3 => Planet travels faster when it is nearer to Sun and slower when farther 4/7/2015 => The square of each planet’s orbital period (in years) is equal to the cube of its average distance from the Sun (in AU). Cal Poly Pomona 4/7/2015 GSC307 Introduction to Global Geophysics GSC307 Introduction to Global Geophysics Kepler’s Third Law • Valid for all closed planetary systems and motion of satellite about parent body • “Complete” version of 3rd law: !PHELION 4π 2 GM = 2 a 3 T € T: orbital period of satellite G: gravitational constant M: mass of parent body a: semi-major axis of orbit of satellite 4/7/2015 Cal Poly Pomona 0g Kepler’s Laws V B P R A 3 ! 1g V Cal Poly Pomona 1 ! 0 R 0ERIHELION 1. Orbit of each planet is an ellipse 2. Sweeping out equal areas in equal times 3. T2 = a3 4/7/2015 Cal Poly Pomona 2 GSC307 Introduction to Global Geophysics GSC307 Introduction to Global Geophysics Example Application: Dwarf Planet Eris 2 GM = 4π 3 a T2 • By measuring orbit (a) and period (T) of Eris’ moon Dysnomia, Eris’ mass was determined to be 27% greater than that of Pluto & thus its density substantially higher (consistent € with composition of rocky materials) Planetary Lay-out Planets fall into two main categories: • Terrestrial (i.e. Earth-like) – inner – Mars, Venus, Mercury, Earth • Jovian (i.e. Jupiter-like) – outer – Saturn, Jupiter, Uranus, Neptune http://www.mikebrownsplanets.com/2011/10/and-answer-is.html 4/7/2015 Cal Poly Pomona GSC307 Introduction to Global Geophysics 4/7/2015 Cal Poly Pomona GSC307 Introduction to Global Geophysics Jovian Planets What are the characteristics of the two main categories of planets? 4/7/2015 Cal Poly Pomona 4/7/2015 Cal Poly Pomona 3 GSC307 Introduction to Global Geophysics GSC307 Introduction to Global Geophysics /BSERVEDDISTANCEFROM3UN!5 Solar System Bode’s Law 0LUTO .EPTUNE • Empirical formula for approximate distances of planets from Sun • Series of numbers created by: 5RANUS 3ATURN *UPITER !STEROIDBELTMEAN -ARS %ARTH 6ENUS -ERCURY $ISTANCEFROM3UN!5 PREDICTEDBY"ODEgSLAW dn = 0.4 for n = 1 – first number is 0 – second is 0.3 – rest is double previous number – add 0.4 to all in series • dwarf planets • asteroid belt • comets (Kuiper belt and Oort cloud) dn = 0.4 + 0.3 × 2 n -2 for n ≥ 2 4/7/2015 Cal Poly Pomona 4/7/2015 Cal Poly Pomona € GSC307 Introduction to Global Geophysics GSC307 Introduction to Global Geophysics Dwarf Planet Dwarf planet is celestial body that: • is in direct orbit around Sun • has sufficient mass so that it assumes nearly round shape • has NOT "cleared neighborhood" around its orbit Five dwarf planets currently recognized—Ceres, Pluto, Haumea, Makemake, and Eris. 4/7/2015 Cal Poly Pomona Mercury • • • • • Most extreme range of surface temperatures (100 - 700 K) Geologically dead Relatively high density: large iron core Weak magnetic field Has shrunk significantly 4/7/2015 Cal Poly Pomona 4 GSC307 Introduction to Global Geophysics GSC307 Introduction to Global Geophysics Mars Venus • • • • Most easily observable Retrograde spin Similar in size to Earth Very dense atmosphere (mainly carbon dioxide) and strong greenhouse effect • Volcanic features 4/7/2015 Cal Poly Pomona GSC307 Introduction to Global Geophysics • Dramatic topography: mountains, volcanoes and canyons • Possible evidence of recent(?) presence of liquid water on surface 4/7/2015 Cal Poly Pomona GSC307 Introduction to Global Geophysics Earth is Special Because: Asteroids • Millions of small, rocky bodies • Includes one dwarf planet: Ceres • Most reside in the asteroid belt between Mars and Jupiter • May consist of material that was never able to consolidate into a planet 4/7/2015 Cal Poly Pomona 4/7/2015 Cal Poly Pomona 5 GSC307 Introduction to Global Geophysics GSC307 Introduction to Global Geophysics Trans-Neptunian Objects Jovian Moons • Composition is mainly ice • Much larger and more numerous than asteroids • Several are dwarf planets (may be more?) • Some of outer solar system moons are similar in size to terrestrial planets and prime targets for exploration • Io: active volcanism • Europa: may have liquid water ocean below icy crust • Titan: only moon with dense atmosphere 4/7/2015 Cal Poly Pomona 4/7/2015 GSC307 Introduction to Global Geophysics Cal Poly Pomona GSC307 Introduction to Global Geophysics Nebular Hypothesis Any successful hypothesis for this origin of the solar system must account for observed characteristics: • – – – • What are some of the properties of our solar system? • • • 4/7/2015 Cal Poly Pomona Large cloud of gas and dust cools and contracts 4/7/2015 Speeds up Forms a flat disk Sun forms at center Material cools and condenses in small grains High boiling point material (metals and rocks) condenses everywhere, ices could form only farther away from Sun Grains coalesce and form planetesimals, then planets Biggest planets attract gases Cal Poly Pomona 6 GSC307 Introduction to Global Geophysics Planetary Formation Simulation Plate Tectonics Computer simulations demonstrate that gas disk around young star can produce giant gas planets. This proto planet has properties similar to observed extra-solar planets. 4/7/2015 Cal Poly Pomona GSC307 Introduction to Global Geophysics 4/7/2015 GSC307 Introduction to Global Geophysics Dynamic Earth Continental Drift • Earth is constantly changing due to internal (endogenic) processes, as well as exogenic (external) processes, at fast as well as slow rates – – – – Alfred Wegener (1912) proposed that: volcanism tectonics erosion deposition Continents are slowly drifting across the globe based on many different lines of evidence. • What is the underlying mechanism responsible? 4/7/2015 Cal Poly Pomona Cal Poly Pomona 4/7/2015 Cal Poly Pomona 7 GSC307 Introduction to Global Geophysics GSC307 Introduction to Global Geophysics Break up of Pangaea Continental Drift Wegener proposed one large super continent, Pangaea, started to break up into individual continents about 225 million years ago. 4/7/2015 Cal Poly Pomona 4/7/2015 Cal Poly Pomona 8
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