Phys320_L8 Solar System Lecture Notes PDF

Lecture 8 Our Solar System Jiong Qiu, MSU Physics Department The Cassini  Guiding Questions 1. Are all the other planets similar to Earth, or are they very different? 2. Do other planets have moons like Earth’s Moon? 3. How do as...

Lecture 8 Our Solar System Jiong Qiu, MSU Physics Department The Cassini  Guiding Questions 1. Are all the other planets similar to Earth, or are they very different? 2. Do other planets have moons like Earth’s Moon? 3. How do astronomers know what the other planets are made of? 4. Are all the planets made of basically the same material? 5. What is the difference between an asteroid and a comet? 6. What determines whether a planet or satellite can retain a certain gas in its atmosphere? 7. Why do interplanetary spacecraft carry devices for measuring magnetic fields? Current, Future, and Past Solar System Missions Planetary exploration missions are conducted by some of the most sophisticated robots ever built. Through them we extend our senses to the farthest reaches of the solar system and into remote and hostile environments, where the secrets of our origins and destiny lie hidden. The coming years of solar system exploration promise to be the most exciting and productive yet, as we explore entirely new worlds and probe in even greater detail the fascinating environments we have discovered. We will learn the motion, structure, atmosphere, magnetic field of the Sun, planets, and satellites, and how to observe them. We will learn how to explain them -- gravity, energy, and nature of light. We will learn why our planet, the Earth, hosts life.  Solar System Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune, (Pluto). (MVEMJSUN – My Very Easy Method Just Seems No Use) q The star we call the Sun and all the celestial bodies that orbit the Sun n including Earth and other seven planets n all their various moons n smaller bodies such as asteroids, comets, meteoroids and dust  8.1 Planets According to their orbits, planets fall into two classes: the inner planets (Mercury, Venus, Earth, and Mars) are Earthlike, and the outer planets (Jupiter, Saturn, Uranus, and Neptune) are Jupiter like.  the terrestrial (inner) planets The four inner planets are called terrestrial planets – Relatively small: Earth is the largest – Low mass: Earth is the heaviest – High densities (4000 to 5500 kg/m3) with iron cores – Composed primarily of rocky materials with solid surface  the Jovian (outer) planets The four gas giant outer planets are called Jovian planets – Large diameters (4 to 11 times Earth’s size) – High mass (14 to 318 times Earth’s mass) – Low average densities (700 to 1700 kg/m3) – Composed primarily of hydrogen and helium without a solid surface Jupiter is the largest and the most massive!  Pluto – special case: no longer a planet! Pluto is a special case – Smaller than any of the terrestrial planets – Intermediate average density of about 1900 kg/m3 – Its density suggests it is composed of a mixture of ice and rock Distance and size, drawn to scale.  Q: how do we know the composition of planets? The average density gives a rough idea of the composition of a planet. ρ = density, M = mass of the object M M V = volume of the object ρ= = V 4 πR 3 = 4 π R3 / 3 (for spheres) 3 R = radius of the spherical object Average density of water: ρwater = 1000 kg/m3 Average density of metal: ρmetal = 13,000 kg/m3 Average density of rock: ρrock = 3000 kg/m3 The terrestrial planets (ρ = 4000-5500 kg/m3) are made of rocky materials and have dense iron cores. The Jovian planets (ρ = 700-1700 kg/m3) are composed primarily of light elements such as hydrogen and helium.  8.2 satellites, asteroids, and comets Earth’s diameter is 12,800 kilometer, twice that of Titan. - All the planets except Mercury and Venus have satellites. - More than 130 satellites are known. Jupiter has more than 60. - Seven large satellites are almost as big as the terrestrial planets. Comparable in size to the planet Mercury - Ganymede and Titan are the largest; Titan has an atmosphere. The remaining satellites of the solar system are much smaller Asteroids are small rocky objects, orbiting the Sun at distances of 2 to 3.5 AU in `the asteroid belt’, between Mars and Jupiter. Asteroids in the distance by HST. (R. Evans, & K.Stapelfeldt JPL) Hubble Space Telescope observed rotation of the mini planet Ceres, the largest asteroid (diameter = 900 km) in the asteroid belt. Water may exist beneath its surface. Asteroid 433 Eros - Comets and other Kuiper belt objects are made of dirty ice. - The Kuiper belt extends far beyond the orbit of Neptune. - Pluto is the largest member of the Kuiper belt. Comet Hale-Bopp o Both ateroids and comets are remnants left over from the formation of the planets. o They all orbit around the Sun, following Kepler’s Comet Halley laws. o Like the two categories of planets, asteroids are more “terrestrial”, comets are “Jovian”. Copyright of the UK Schmidt  asteroid belts Kuiper belt and Oort cloud  Q: What’s the difference between planets, satellites, asteroids, and comets? 1. Satellites orbit around planets, planets orbit the Sun. 2. Asteroids and comets also orbit the Sun, but they are not large enough to become planets. 3. Asteroids locate in the asteroid belt between Mars and Jupiter. Comets are in Kuiper belt beyond Neptune. 4. Comets are likely extra-solar system objects! 8.3 Orbits of Planets - Kepler’s laws Most planets orbit the Sun in the same direction and in almost the same plane: ecliptic is the plane of the Earth’s orbit. Most planets have nearly circular orbits - the eccentricity of the orbit is very small. (from Arizona State U.) The farther away from the Sun, the longer the orbital period: Kepler’s third law: P2 = a3 (P = sideral period, in year, a = semimajor axis of orbit, in AU) Ex.1 Saturn’s distance to the Sun is about 10 AU. A year on Saturn is as long as how many Earth year? Newton/Kepler’s law determines the planet mass Newton’s Law of Universal Gravitation accounts for Kepler’s laws and explains the motions of a binary system. mM FG = G 2 r F = gravitational force between two objects (in newtons) m = mass of the planet (in kilograms) M = mass of the Sun (in kilograms) r = distance between planet and Sun (in meters) € G = 6.67 × 10–11 newton m2/kg2 , universal constant of gravitation  Newton’s form of Kepler’s third law The gravitational (pull or Newton demonstrated that attractive) force keeps the planets orbiting the Sun. Kepler’s third law follows logically the law of gravity, 2 2 4 π mr and can be re-written as: F = mω r = 2 = FG P 3 # GM & 2 a = % 2 (P $ 4π ' P = sidereal period, in seconds a = semimajor axis, in meters M = mass of the Sun, in kg G = universal constant of gravitation € = 6.67 x 10-11 This same relation is used to describe a satellite orbiting a planet.  P2 = a3 The further away from the sun, the longer it takes to finish one orbit. Kepler’s law also applies to asteroids and comets, all solar system objects that orbit the Sun. Newton’s law of the universal gravitation accounts for Kepler’s laws.  Newton’s form of Kepler’s third law The gravitational (pull or Newton demonstrated that attractive) force keeps the planets orbiting the Sun. Kepler’s third law follows logically the law of gravity, 2 2 4 π mr and can be re-written as: F = mω r = 2 = FG P 3 # GM & 2 a = % 2 (P $ 4π ' P = sidereal period, in seconds a = semimajor axis, in meters M = mass of the Sun, in kg G = universal constant of gravitation € = 6.67 x 10-11 Scaling the equation to Sun-Earth system: Kepler’s third law. 8.4 The atmosphere is retained by gravity Whether gases can stay in a planet’s atmosphere depends on the combination of the following three factors: o planet’s mass and size: gravity can retain gas particles. o gas composition: light gases run faster than heavy gases. o temperature: gases at higher temperature run faster. When an object has a high enough speed, it can escape from the planet’s gravity (think about how we launch a rocket). The escape speed is: (see Box 7.2 for 2GM escape speed at v esc = R each planet) M = mass of the planet(kg); R = radius of the planet(m); G = gravitational constant = 6.67 x 10-11 N m2/kg2. The average speed of a gas at a temperature is given as: 1/ 2 " 3kT % v th = $ ' (thermal speed) m = gas mass(kg); # m & T = temperature (K=kelvins); vth = speed (m/sec); k = Boltzmann constant = 1.38 x 10-23 J/K € (optional) Maxwellian distribution of particles in thermal equilibrium. A good thumb rule goes: If 6 vth > vesc , the particles (atoms or molecules) escape. If 6 vth < vesc , the particles (atoms or molecules) stay!  1/ 2 " 3kT % 2GM 6v th = 6$ ' ⇔ v esc = # m & R Higher temperature, less likely to retain a gas. Gas particles with smaller mass (m), less likely to be retained. € Planet of larger mass (M), more likely to retain a gas. Q: among 8 planets, 1 does not have appreciable atmosphere. Which one and why? Terrestrial planets: high temperature, weak gravity, so low mass gases escape and massive gases stay. Jovian planets: low temperature, strong gravity, can retain even very light gases, e.g., hydrogen and helium. Gravity and distance to the Sun are crucial!  1 GMm escape temperature: T esc > 54 kR Ex 2: compare the abilities of Earth and the Moon to retain molecular oxygen (O2) gas in the atmosphere. (see Box-7.2) € We may calculate the escape temperature for molecular oxygen on Earth and on the Moon. For Earth, Tesc = 4500 K, much greater than Earth’s mean temperature. And for the Moon, Tesc = 200 K, smaller than the Moon’s mean temperature. Therefore, molecular oxygen gas is retained on Earth but not on the Moon. Q: among 7 largest satellites in the solar system, Titan is the only one with an appreciable atmosphere. Why is that? 8.5 Composition The average density gives a rough idea of the composition of a planet. ρ = density, M = mass of the object M M V = volume of the object ρ= = V 4 πR 3 = 4 π R3 / 3 (for spheres) 3 R = radius of the spherical object Average density of water: ρwater = 1000 kg/m3 Average density of metal: ρmetal = 13,000 kg/m3 Average density of rock: ρrock = 3000 kg/m3 The terrestrial planets (ρ = 4000-5500 kg/m3) are made of rocky materials and have dense iron cores. The Jovian planets (ρ = 700-1700 kg/m3) are composed primarily of light elements such as hydrogen and helium. Spectroscopy more accurately reveals the chemical composition of surface and atmosphere of planets. The spectrum of a planet or satellite with an atmosphere reveals the atmosphere’s composition. If there is no atmosphere, the spectrum indicates the composition of the surface. The substances that make up the planets can be classified as gases, ices, or rock, depending on the temperatures at which they solidify. The terrestrial planets are composed primarily of rocky materials, whereas the Jovian planets are composed largely of gas. Atmosphere composition Ex 3: Atmosphere of Titan – Methane is dominant Absorption features reveal the atmosphere composition. The amount of absorption depends on the abundance of the elements and temperature and density of the atmosphere. Formation of Titan Spectra  Ex.4 Moonshine and earthshine spectra reflecting atmosphere properties Atmosphere molecular line: Solar line: H-alpha line oxygen A bands Ex.5: Additional sodium absorption found in the spectroscopy data of the planet transit shows evidence of HD 209548b having an atmosphere. Credit: SpaceRef.com Surface Composition Ex 6: Surface of Europa - Ice dominated A solid surface, unlike an atmosphere, does not produce sharp spectral lines. The broad absorption and reflection spectrum of Jupiter’s moon Europa compared with ice. Hydrogen and helium are abundant on the Jovian planets, whereas the terrestrial planets are composed mostly of heavy element. Mars Jupiter Surface composition  8.6 Cratering and age Cratering on planets and satellites is the result of impacts from interplanetary debris o When an asteroid, comet, or meteoroid collides with the surface of a terrestrial planet or satellite, the result is an impact crater. o Geologic activity renews the surface and erases craters, so a terrestrial world with extensive cratering has an old surface and little or no geologic activity. Craters on Moon, Earth, and Mars.  8.7 Magnetic fields A planet with a magnetic field indicates a fluid interior in motion. Planetary magnetic fields are produced by the motion of electrically conducting liquids inside the planet. This mechanism is called a dynamo. If a planet has no magnetic field, that is evidence that there is little such liquid material in the planet’s interior or that the liquid is not in a state of motion. The magnetic fields of a bar magnet.  The magnetic fields of terrestrial planets are produced by metals such as iron in the liquid state. Mercury and Earth have global magnetic field. Earth Mars has magnetized regions. Mars Magnetic field is not found in Venus, maybe due to its slow rotation.  Jupiter’s strong magnetic field interacting with solar wind. (NASA) The stronger fields of the Jovian planets are generated by liquid metallic hydrogen (Jupiter & Saturn) or by water with ionized molecules dissolved in it (Uranus and Neptune). Jupiter, Saturn, Uranus and Neptune all have global magnetic field. Jupiter has the strongest magnetic field among all planets. How to determine properties of the planets? orbit period: direct observation distance: parallax, Kepler’s third law diameter: direct observation of angular size, and small- angle formula mass: Newton’s form of Kepler’s third law density: mass/volume chemical composition: density, spectroscopic observation (can diagnose atmosphere and surface composition) magnetic fields: magnetometer observation, radio observation internal structure: inferred from craters, magnetic fields, quakes  Gravity and distance to the Sun are the keys to understanding the solar system rotation composition distance temperature state of matter magnetic field mass/size surface orbit period atmosphere internal heat geological activity Q: Where does GRAVITY spell out? Our knowledge of the Universe critically depends on how much we understand LIGHT.  Key Words asteroid kinetic energy asteroid belt Kuiper belt average density Kuiper belt objects chemical composition liquid metallic hydrogen comet magnetometer dynamo meteoroid escape speed minor planet ices impact crater molecule Jovian planet spectroscopy terrestrial planet  summary Planets are categorized as terrestrial and Jovian planets. The terrestrial planets are small inner planets, and Jovian planets are large outer planets. The terrestrial planets are rocky, dense, made of heavy elements, and the Jovian planets are gaseous and made of hydrogen, helium or ice. All planets but Mercury and Venus have satellites. Asteroids and comets are small objects orbiting around the Sun in asteroids belt (between Mars and Jupiter) or Kuiper belt. Asteroids are “terrestrial” and comets are “Jovian”. Whether a planet has a certain gas in the atmosphere depends on the temperature and gravity on the planet and the mass of the gas, which determine whether the gas can escape. Presence of magnetic fields reflects motion of electrically conducting liquids inside the planets.