Space Weather Lecture 2: the Sun and the Solar Wind
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Space Weather Lecture 2: The Sun and the Solar Wind Elena Kronberg (Raum 442) [email protected] Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 1 / 39 The radiation power is '1.5 kW·m−2 at the distance of the Earth The Sun: facts Age = 4.5×109 yr Mass = 1.99×1030 kg (330,000 Earth masses) Radius = 696,000 km (109 Earth radii) Mean distance from Earth (1AU) = 150×106 km (215 solar radii) Equatorial rotation period = '25 days Mass loss rate = 109 kg·s−1 It takes sunlight 8 min to reach the Earth Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 2 / 39 The Sun: facts Age = 4.5×109 yr Mass = 1.99×1030 kg (330,000 Earth masses) Radius = 696,000 km (109 Earth radii) Mean distance from Earth (1AU) = 150×106 km (215 solar radii) Equatorial rotation period = '25 days Mass loss rate = 109 kg·s−1 It takes sunlight 8 min to reach the Earth The radiation power is '1.5 kW·m−2 at the distance of the Earth Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 2 / 39 The Solar interior Core: 1H +1 H !2 H + e+ + n + 0.42 MeV 1H +2 He !3 H + g + 5.5 MeV 3He +3 He !4 He + 21H + 12.8 MeV The radiative zone: electromagnetic radiation transports energy outwards The convection zone: energy is transported by convection The photosphere – layer which emits visible light The chromosphere is the Sun’s atmosphere. The corona is the Sun’s outer atmosphere. Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 3 / 39 The Solar interior Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 4 / 39 Photosphere: sunspots Sunspots B=0.3·108 nT Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 5 / 39 6 12 For most solar phenomena Rm ' 10 − 10 ) the magnetic field is “frozen” to the plasma. The Sun and its Magnetohydrodynamics The induction equation is ¶B = r × (v × B) + hr2B, (1) ¶t where v is the fluid velocity, B is the magnetic field strength, h = 1/(m0s) is the magnetic diffusivity, m0 is the permeability of free space and s0 is the electrical conductivity of the material. The magnetic Reynolds number is vL R = = m s vL. (2) m h 0 0 Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 6 / 39 The Sun and its Magnetohydrodynamics The induction equation is ¶B = r × (v × B) + hr2B, (1) ¶t where v is the fluid velocity, B is the magnetic field strength, h = 1/(m0s) is the magnetic diffusivity, m0 is the permeability of free space and s0 is the electrical conductivity of the material. The magnetic Reynolds number is vL R = = m s vL. (2) m h 0 0 6 12 For most solar phenomena Rm ' 10 − 10 ) the magnetic field is “frozen” to the plasma. Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 6 / 39 Frozen-in condition Credit: A. Brekke Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 7 / 39 The Sun and its Magnetohydrodynamics The momentum equation is dv r = −rp + j × B + rg, (3) dt where r is the plasma density, p is the plasma pressure and g is the gravitational acceleration. Equating the left-hand side to the magnetic force in order of magnitude gives a speed of B v = p = vA, (4) m0r where vA is the Alfven´ speed and is the typical speed to which magnetic forces can accelerate plasma. Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 8 / 39 The Sun and its Magnetohydrodynamics The continuity equation dr + rr · v = 0, (5) dt and energy equation rg d p j2 = −r · (krT) − r2Q(T) + (6) g − 1 dt rg s which describes how the entropy of a moving element of plasma changes because of three effects on the right-hand side: the conduction of heat, which tends to equalize temperatures along the magnetic field, k is the thermal conductivity the optically thin radiation, with a temperature dependence Q(T) ohmic heating. More details on MHD equations and their use in modeling of the Sun are e.g. in Priest, Magnetohydrodynamics of the Sun, 2014. Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 9 / 39 Photosphere: sunspot generation mechanism Babcock-Leighton mechanism Credit: Sanches et al., 2014 Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 10 / 39 Photosphere: sunspots Credit: S. Tiwari Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 11 / 39 Photosphere: sunspots Credit: S. Tiwari Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 11 / 39 Photosphere: sunspots Quiet sunspot, granulation Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 12 / 39 Photosphere: sunspots Huge Hurrican Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 13 / 39 Solar cycle Number of solar spots changes – solar cycle – 11 years Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 14 / 39 Photosphere: solar flare Flare is a sudden flash of brightness observed near the Sun’s surface X-rays and UV radiation emitted by solar flares can affect Earth’s ionosphere and disrupt long-range radio communications. Direct radio emission at decimetric wavelengths may disturb the operation of radars and other devices that use those frequencies. It is impossible to predict solar flare. Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 15 / 39 Chromosphere: Prominence Prominence is an arc of gas that erupts from the surface of the Sun The magnetic field is embedded in plasma – frozen-in condition Magnetic field strength is 106 –107 nT Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 16 / 39 Prominence, Solar Flare and Coronal Mass Enjection Credit: SSL Berkely Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 17 / 39 Solar Flare and CME Energy comparison: Large Solar flare '1020 Candy bars (250 Cal each) Earthquake (magnitude 8.0) '1010 Candy bars Credit: SSL Berkely Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 18 / 39 Coronal Mass Ejections (CMEs) Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 19 / 39 Solar Proton Event A solar proton event (SPE), or ”solar radiation storm”, occurs when particles (mostly protons) emitted by the Sun become accelerated either close to the Sun during a flare or in interplanetary space by CME shocks. Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 20 / 39 Coronal Mass Ejection Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 21 / 39 Coronal Holes Dark regions where the magnetic field is open and through which the solar wind is streaming outward. The strength of magnetic field at the poles is ∼105 nT Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 22 / 39 Solar wind topology The Sun has a complex magnetic field geometry Coronal helmet streamers are large closed magnetic loops which connect regions of opposite magnetic polarity. They lead to formation of heliopsheric current sheets. Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 23 / 39 Solar Corona The total eclipse of 29 March 2006 in Libya Credit: M. Druckmuller and P. Aniol Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 24 / 39 Solar Corona Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 25 / 39 The Solar wind Solar wind is a plasma, gas of charged particles with equal numbers of free positive and negative charge carriers Mainly electrons and protons, He (5%) Free charges make the plasma highly electrically conductive −3 5 Density ne,sw '5 cm and temperature Te,sw '10 K (room '293 K) Interplanetary Magnetic field (IMF) Bsw '5 nT at the Earth Velocity vsw ' 300 − 800 km/s Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 26 / 39 Solar wind evidence Particles streaming from the Sun exert pressure upon interplanetary matter, evident from observations of comet tails. Churimov-Gerasimenko Comet obseved by Rosetta. Image Credit: ESA Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 27 / 39 Solar Wind Flux Tube Conservation of the magnetic flux within the tube r 2 B(r) dA = B dA R 0 0 0 or R 2 B(r) = B 0 r The solar corona and any fixed source are rotating at an angular rate of 2p rad w = 25.4 days = 2.7 × 10−6rad s−1 Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 28 / 39 Solar Wind Flux Tube The azimuthal plasma velocity in frame of reference rotating with the Sun Vf = −wr The magnetic field follows the plasma flow B V −wr f = f = Br Vr V(r) This gives a differential equation for the field lines near the solar equator rdf −wr = dr V(r) If V(r) is constant and location of the source is at f0, r = R then V r − R = − (f − f ). w 0 This geometry is known as the spiral of Archimedes. Elena Kronberg: Space Weather Lecture 2: The Sun and the Solar Wind 29 / 39 Interplanetary magnetic field (IMF) topology Due to the conservation of angular momentum of the plasma, the IMF lines trace out Archimedian spiral patterns (called Parker spiral).