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Lecture 13: Sunspots Outline 1 Terminology and History 2 Sunspot Structure 3 Sunspot Evolution

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Page 1: Terminology and History Sunspot Structure 3 Sunspot Evolutionkeller/Teaching/SolPhys_2008/sp08… · 3 Sunspot Evolution. Overview Sunspot Terminology DOT Blue Continuum Movie of

Lecture 13: Sunspots

Outline

1 Terminology and History2 Sunspot Structure3 Sunspot Evolution

Page 2: Terminology and History Sunspot Structure 3 Sunspot Evolutionkeller/Teaching/SolPhys_2008/sp08… · 3 Sunspot Evolution. Overview Sunspot Terminology DOT Blue Continuum Movie of

Overview

Sunspot Terminology

DOT Blue Continuum Movie of AR10425

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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

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Active Region Numbers

www.solarmonitor.org

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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

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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.

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galileo.rice.edu/sci/observations/sunspot_drawings.html

History after TelescopesOther contemporary observations by Galileo Galilei (Italy), ChristophScheiner (Germany), and Thomas Harriott (England)

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Drawings by Christoph Scheiner

galileo.rice.edu/sci/observations/sunspots.html

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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?

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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

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Sunspot Field Strengths: 2000-4000 Gauss

www.noao.edu/image_gallery/html/im0972.html

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Empirical Temperature - Field Strength Relation

Kopp & Rabin 1992

Page 13: Terminology and History Sunspot Structure 3 Sunspot Evolutionkeller/Teaching/SolPhys_2008/sp08… · 3 Sunspot Evolution. Overview Sunspot Terminology DOT Blue Continuum Movie of

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+

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 ′

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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)

)

Page 15: Terminology and History Sunspot Structure 3 Sunspot Evolutionkeller/Teaching/SolPhys_2008/sp08… · 3 Sunspot Evolution. Overview Sunspot Terminology DOT Blue Continuum Movie of

Empirical Temperature - Field Strength Relation

Kopp & Rabin 1992

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Azimuthally Averaged Sunspot Quantities

Keppens & Martinez Pillet 1996

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Wilson Depression

sunspot umbrae are lower than quiet photosphere (Wilson 1769)

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Umbral Dots Simulations

Schüssler & Vögler 2006

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Evershed Effect: Radial Outflow

Penn et al. 2003

spectral lines show outflow of up to 10 km/s−1

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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

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Sunspot Oscillations

DOT 2005-07-13 AR10789

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Large Sunspot Region from early 2001

Best of SOHO Movies

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Sunspot Region Evolution

www.noao.edu/image_gallery/html/im0605.html

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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

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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)

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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

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Zürich Sunspot Classification: Evolutionary Sequence

Waldmeier (1955)

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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