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Chapter 16 The Sun

16.1 Physical Properties of the Sun

  • Radius: 700,000km

  • Mass: 2.0 ×1030 kg

  • Density: 1400kg/m³

  • Rotation: Differential; period about a month

  • Surface temperature: 5800 K

  • Apparent surface of Sun is photosphere.

  • The sharp edge: thin photosphere

  • Corona: hot upper atmosphere, normally too faint to be seen, but visible during eclipse.

  • Interior Structure: Core, Radiation Zone, Convection Zone, Photosphere, Chromosphere, Transition Zone

  • Core:

    • where nuclear fusion takes place and generates the Sun’s enormous energy output

  • Radiation zone:

    • solar energy transported out by radiation, rather than convection

  • Convection zone:

    • constant convection motion

  • Photosphere:

  • Chromosphere:

    • lower atmosphere

  • Transition zone:

    • Temperature rises dramatically

  • Corona:

  • Solar Wind:

  • Luminosity— total energy radiated by the Sun— can be calculated from the fraction of that energy that reaches Earth.

  • Solar constant— amount of Sun’s energy reaching Earth is 1400 W/m²

  • Total luminosity is about 4 × 1026 W (watts)— the equivalent of 10billion 1-megaton nuclear bombs per second

16.2 The Sun Interior

  • Energy transport:

    • The radiation zone is relatively transparent; the cooler convection zone is opaque

  • Mathematical Models, consistent with observation and physical principles, provide information about the Sun’s interior

  • In equilibrium, inward gravitational force must be balanced by outward pressure

Discovery 16-1: SOHO: Eavesdropping on the Sun

  • SOHO: Solar and Heliospheric Observatory

  • Orbits at Earth’s L1 point, magnetosphere

  • Multiple instruments measure magnetic field, corona, vibrations, and ultraviolet emissions

16.3 The Sun’s Atmosphere

  • Spectral analysis can tell us what elements are present, but only in the chromosphere and photosphere of the sun.

  • Composition of the Sun:

    • By percentage of number of atoms

    • Hydrogen 91.2%

    • Helium 8.7%

    • Oxygen, Carbon. Nitrogen, Silicon, Magnesium, Neon, Iron, Sulfur

  • Small solar storms in chromosphere emit spicules

  • Corona is much hotter than layers below it— must have a heat source, probably electromagnetic interactions

16.4 Solar Magnetism

  • Sunspots: dark areas

  • Appear dark because slightly cooler than surroundings

  • Typical size: approximately the size of the Earth

  • Sunspots come and go, typically in a few days.

  • Sunspots are linked by pairs of magnetic field lines

  • Magnetic field in a typical sunspot is about 1,000 times greater than the neighboring region.

  • Magnetic field is observed through Zeeman Effect

  • Zeeman Effect: broadening or splitting of spectral lines by magnetic field

Discovery 16-2: Solar-Terrestrial Relations

  • Does Earth feel effects of 22-year solar cycle directly?

  • Possible correlations:

    • Periods of climate dryness

    • Increased atmospheric circulation

      • storm system deepen, extend over wider range of latitude, carry more moisture

    • Long-term climatic influence

      • maunder minimum, Little Ice Age

  • Cause not understood as energy output doesn’t vary much (0.2-0.3%)

  • One definite correlation: Geomagnetic disturbance

  • Solar flares and coronal mass ejections ionize atmosphere, disrupting electronics and endangering astronauts

16.5 The Active Sun

  • Solar flare is a large explosion on Sun’s surface, emitting a similar amount of energy to a prominence, but in seconds or minutes rather than days or weeks

  • Coronal mass ejection occurs when a large “bubble” detaches from the Sun and escapes into space

  • Solar winds escapes Sun mostly through coronal holes, which can be seen in X-ray images

16.6 The Heart of the Sun

  • Given the Sun’s mass and energy production, we find that, on average, every kilogram of the sun produces about 0.2 milliwatts of energy

  • This is not much—gerbils could do better—but it continues through the 10-billion-year lifetime of the Sun

  • We find that the total lifetime energy output is about 3× 1013 J/kg

  • This is a lot, and it is produced steadily, not explosively

  • Nuclear Fusion is the energy source for the Sun

  • In general, nuclear fusion works like this

    • nucleus 1 + nucleus 2+ nucleus 3+ energy

  • But where does the energy come from?

    • It comes from the mass; if you add up the masses of the initial nuclei, you will find that it is more than the mass of the final nucleus

  • The relationship between mass and energy comes from Einstein’s famous equation: E=mc²

  • In this equation, c is the speed of light, which is a very large number

  • What this equation is telling us is that a small amount of mass is the equivalent of a large amount of energy—tapping into that energy is how the Sun keeps shining so long

  • The ultimate result of the process:

    • 4(1H)→ 4He + energy + 2 neutrinos

  • The helium stays in the core

  • The energy is the form of gamma rays, which gradually lose their energy as they travel out from the core, emerging as visible light

  • The neutrinos escape without interacting

More Precisely 16-1:

  • Physicists recognize four fundamental forces in nature:

    1. Gravity: very weak, but always attractive and infinite

    2. Electromagnetic: Much stronger, but either attractive or repulsive; infinite in range

    3. Weak nuclear force: Responsible for beta decay; short range (1-2 protons diameters); weak

    4. Strong nuclear force: Keep nucleus together short range; very strong

More Precisely 16-2: Energy Generation in the Proton—Proton Chain

  • Mass of four protons: 6.6943 × 10-27kg

  • Mass of helium nucleus: 6.6466 ×10-27kg

  • Mass transformed to energy: 0.0477 × 10-27kg (about 0.71%)

  • Energy equivalent of that mass: 4.28 × 10-12 J

  • Energy produced by fusion of one kilogram of hydrogen into helium:6.40 × 1014 J

16.7 Observations of Solar Neutrinos

  • Typical solar neutrino detectors; resolution is very poor

  • Detection of solar neutrinos has been going on for more than 30 years now; there has always been a deficit in the type of neutrinos expected to be emitted by the Sun

  • Recent research proves that the Sun is emitting about as many neutrinos as the standard solar model predicts, but the neutrinos change into other types of neutrinos between the Sun and the Earth, causing the apparent deficit