Terminology and History Sunspot Structure 3 Sunspot Evolutionkeller/Teaching/SolPhys_2008/sp08… · 3 Sunspot Evolution. Overview Sunspot Terminology DOT Blue Continuum Movie of
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Lecture 13: Sunspots
Outline
1 Terminology and History2 Sunspot Structure3 Sunspot Evolution
Overview
Sunspot Terminology
DOT Blue Continuum Movie of AR10425
Basic Appearance
sunspots often appear in sunspot groupssunspots consist of umbra and penumbrapores are sunspots without penumbraeumbral structures: umbral dots and light bridgespenumbral filamentsumbra and penumbra have well-defined, structured boundariessunspot is much more stable than granulationbright penumbral grains move inward
Active Region Numbers
www.solarmonitor.org
History before Telescopes
www.hao.ucar.edu/Public/images/worcester.jpg
Theophrastus of Athens reports sunspots around 330 BC112 descriptions of sunspots in official historical records fromChina between 28 BC and 1638 AD8 December 1128, John of Worcester makes the first diagram ofthe Sun containing two large spotsKepler misinterpreted sunspot as Mercury transit in 1607
web.hao.ucar.edu/
public/education/sp/images/fabricius.html
Johann Goldsmid (Fabricius)... Having adjusted the telescope, we allowedthe sun’s rays to enter it, at first from the edgeonly, gradually approaching the center, untilour eyes were accustomed to the force of therays and we could observe the whole body ofthe sun. We then saw more distinctly andsurely the things I have described [sunspots].Meanwhile clouds interfered, and also the sunhastening to the meridian destroyed our hopesof longer observations; for indeed it was to befeared that an indiscreet examination of alower sun would cause great injury to the eyes,for even the weaker rays of the setting or risingsun often inflame the eye with a strangeredness, which may last for two days, notwithout affecting the appearance of objects.
galileo.rice.edu/sci/observations/sunspot_drawings.html
History after TelescopesOther contemporary observations by Galileo Galilei (Italy), ChristophScheiner (Germany), and Thomas Harriott (England)
Drawings by Christoph Scheiner
galileo.rice.edu/sci/observations/sunspots.html
Drawings by Samuel Langley (1834–1906)
www.ociw.edu/ociw/babcock/howardtalk.pdf
Why are these drawings comparable in quality to some of the bestpictures from modern telesopes?
Sunspots in Numbersdiameter: 10’000 – 100’000 kmintensity of umbra: 5% of quiet photosphere at 500 nmintensity of penumbra: 80% of quiet photosphere at 500 nmtemperature of umbra: 3500 K
Sunspot Field Strengths: 2000-4000 Gauss
www.noao.edu/image_gallery/html/im0972.html
Empirical Temperature - Field Strength Relation
Kopp & Rabin 1992
Theoretical Temperature – Field Strength Relation
magnetohydrostatic force balance
∇(
p +B2
2µ0
)− 1µ0
(~B · ∇
)~B = ~Fgravity
radial component in cylindrical coordinate system
∂
∂r
(p +
B2
2µ0
)− 1µ0
(Br∂Br
∂r+
Bφ
r∂Br
∂φ+ Bz
∂Br
∂z−
B2φ
r
)= 0
for untwisted field (Bφ = 0)
∂p∂r
=Bz
µ0
(∂Br
∂z− ∂Bz
∂r
)integrate from radius r to field-free region outside of spot
pe (z)− p (r , z) =B2
z (r , z)
2µ0+
1µ0
∫ ∞r
Bz∂Br
∂zdr ′
continuing ...
from previous slide
pe (z)− p (r , z) =B2
z (r , z)
2µ0+
1µ0
∫ ∞r
Bz∂Br
∂zdr ′
for simple magnetic field configurations can rewrite this as
pe (z)− p (r , z) =B2 (r , z)
2µ0(1 + f (r , z))
and using perfect gas law, write this as
T (r , z)
Te (z)=µ (r , z)
µe (z)
ρe (z)
ρ (r , z)
(1− 1 + f (r , z)
2µ0pe (z)B2 (r , z)
)
Empirical Temperature - Field Strength Relation
Kopp & Rabin 1992
Azimuthally Averaged Sunspot Quantities
Keppens & Martinez Pillet 1996
Wilson Depression
sunspot umbrae are lower than quiet photosphere (Wilson 1769)
Umbral Dots
Tritschler & Schmidt 2002
Evershed Effect: Radial Outflow
Penn et al. 2003
spectral lines show outflow of up to 10 km/s−1
Penumbral Filament Simulations (R.Schlichenmaier)
www.kis.uni-freiburg.de/ schliche/index-Dateien/video.html
thin magnetic flux tube in magnetohydrostatic sunspot modelsurrounding field-free area heats tube, it becomes buoyantcools off when reaching photospheresince field in tube decreases faster than background field, gaspressure builds up leading to outward flow
Large Sunspot Region from early 2001
Best of SOHO Movies
Sunspot Region Evolution
www.noao.edu/image_gallery/html/im0605.html
Sunspot Evolution
Zhang & Tian 2005
Active Region Development
science.nasa.gov/ssl/pad/solar/dynamo.htm
sunspots occur in two belts, symmetric around and parallel to theequator at ± (5◦– 35◦) lattitudesunspots are areas of strong magnetic fieldssunspots often appear in pairs with opposite magnetic polarity(bipolar groups)polarity changes with hemisphere and solar cycle (Hale’s Law)sunspot groups are inclined with respect to the equator
Sunspot Groups
science.nasa.gov/ssl/pad/solar/dynamo.htm www.ociw.edu/ociw/babcock/howardtalk.pdf
sunspot groups are tilted with respect to equatortilt angle depends on lattitude (Joy’s Law)
Sunspot Lifecycleappearance and disppearance of sunspot groups is alwaysrelated to the same phenomena⇒ everything together makesup an active regionappearance of magnetic field within a few days, strong increasein faculae, magnetic field becomes bipolar, small pores andspots appear, corona becomes bright above active regionmaximum activity takes 2 to 3 weeks, large bipolar groups form,active region expands to 200’000 km, flares occurdisappearance takes 6 to 9 months, active region expands to500’000 km, spots disappear, faculae of opposite polaritiesappear that are separated by a quiet prominence, slowdisappearance of these phenomenasunspot lifetime: days to months, most less than 11 days
Zürich Sunspot Classification: Evolutionary Sequence
Waldmeier (1955)
Rudolf Wolf
web.hao.ucar.edu/public/education/sp/images/wolf.html
Sunspot Numbersdiscovery of sunspot cycle byHeinrich Schwabe in 1843Rudolf Wolf at ETH Zurichcompares sunspot observationsfrom different observersinvents SonnenfleckenRelativzahl in 1847number of sunspot groups g,number of sunspots f
R = k(10g + f )
k ≈ 1: observer-dependentcalibration factorSunspot Number is a goodmeasure of fractional area of Suncovered by spots
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