Stars and Stellar Structure Flashcards

1
Q

Name 4 ways we name stars

A
  • constellations (groups of stars)
  • full names (bright stars have proper names)
  • Labelled within their constellations by Bayer letters or Flamsteed numbers
  • Catalogue numbers
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2
Q

What is a bayer letter and what is Flamsteed number?

A
  • Bayer letter = order of brightness
  • Flamsteed number = west to east
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3
Q

How do we describe the brightness of stars?

A

By using the magnitude system

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4
Q

What are the main features of the modern magnitude system?

A
  • lower numbers mean brighter stars
  • dimmest stars visible to naked eye are around magnitude 6
  • Stars can have non-integer magnitudes
  • A logarithmic system
  • A difference of 5 magnitudes means a brightness ratio of exactly 100
  • A difference of 1 magnitude means a brightness ratio of ~ 2.5
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5
Q

What is the inverse square law?

A

Light from stars spreads out as it travels towards us

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6
Q

What is the annual parallax

A
  • a way to calculate the distance to a star
  • as the earth orbits the sun, close stars appear at different positions in the sky
  • the change in the stars is measured by the parallax angle
  • we can then use trig to find the distance
  • distance (parsecs) = 1/parallax (arc seconds)
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7
Q

What is proper motion?

A

Change in star’s position due to this relative motion
- close star would have higher proper motion compared to a distant star if had same velocity

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8
Q

What is the star with the greatest proper motion?

A

Barnards Star

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9
Q

What do we use to measure how bright a star is more quantitatively?

A

Luminosity - rate of energy production

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10
Q

What is luminosity measured in?

A

Watts

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11
Q

Measuring brightness: Star a and star b are identical. Star A is 3pc away and star B is 6pc away. How much brighter does star A appear than star B?

A

The distance of Star B is twice of star A. Since the intensity changes with distance squared the factor of difference is 2^2 = 4 times.

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12
Q

How do we use the inverse square law to measure brightness?

A
  • luminosity of a star spreads out in space as distance of the star increases
  • intensity is inversely proportional to 1/area
  • 1/area is inversely proportional to 1/R^2
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13
Q

What is the difference between Absolute magnitude and apparent magnitude?

A

Absolute = magnitude of a star if we observed it at a distance of 10 parsecs
Apparent = magnitude as observed from earths

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14
Q

What is the absolute magnitude equivalent to?

A

the luminosity of stars

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15
Q

What is distance modulus?

A

the difference in a star’s apparent and absolute magnitudes

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16
Q

A star has an apparent magnitude of m=8 and a distance modulus of 5. What is its absolute magnitude

A

3

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17
Q

What wavelength gives blue colour? what wavelength gives a red colour?

A

blue = 400nm
red = 700nm

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18
Q

How is white light shown?

A

White light is a combo of different wavelengths

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19
Q

how do we measure the brightness of light at different wavelength?

A

use detectors called spectrometers

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20
Q

What is a black body?

A
  • object which perfectly absorb all radiation (light)
  • but also re-radiates at the same rate, keeping its temp constant
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21
Q

As the temp of a star increases….

A
  • the intensity grows
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22
Q

How hot is a hot star? how hot is the sun? a cool star?

A

Hot star = 10000 k
Sun = 5800 k
cool star = 3000k

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23
Q

What is filter photometry?

A
  • technique that isolates specific wavelengths of light and measures their intensity
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24
Q

How can the temp of a star be found?

A

by examinining their black body spectra

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25
what colour do hot stars emit? and cool stars?
hot = blue cool = red
26
what is the colour index of a star related to?
its temperature
27
How do we determine the physical size of a star?
By finding its radius via the Stefan-Boltzmann Law
28
what is the Stefan-Boltzman Law
(constant) x (temperature)^4 𝐿 = π΄πœŽπ‘‡^4
29
Example of Stefan-Boltzman Law: An increase in temperature of 20% results in an increase luminosity of....
2.07 - 1.2 x 1.2 x 1.2 x 1.2 This is because 20% increase = 1.2
30
How do we use the Stefan-Boltzman law to find the radius?
If we know T and L, then we can figure out the A in the law. From hear using the formula for the surface area for a sphere, we can find the radius ( 𝐴 = 4πœ‹π‘…^2)
31
We want to find out how big a star’s radius is. What measurements would we need to do this?
The star’s annual parallax, apparent magnitude, and B – V colour index
32
What are binary stars
Two stars in are orbiting each other around a center of mass. around 50% of Stars are binary Stars
33
Name the four types of binary stars
1. Astrometric 2. Eclipsing 3. Visual 4. Spectroscopic
34
What is Visual binary?
Were we can see the two stars orbiting each other, some can be seen with he naked eye but most with binoculars/telescopes
35
What is Astrometric binary?
Like visual binary but one star is far too faint to see, but you can still see the wobble of the bright star
36
What is an eclipsing binary?
From "side view" one star passes between the other and the observer. Like when the moon and sun eclipse.
37
What is a spectroscopic star?
Doppler shifts in the spectrum of a star reveal a companion Measure the spectrum of the bright star over time The Doppler shift changes periodically Indicates orbiting companion
38
39
40
What is the significance of stars in astronomy?
Stars are found throughout the universe and are essential for the formation of chemical elements that make up our bodies.
41
What do we observe about stars in the night sky?
Some stars are brighter than others, dimmer stars are more numerous, and some are too dim to see without telescopes or binoculars.
42
What are the unique names of some of the brightest stars?
Betelgeuse, Rigel, Sirius, Polaris.
43
What is a constellation?
A constellation is a pattern of stars that humans have created pictures from, often based on local wildlife, culture, or mythology.
44
How many constellations did the International Astronomical Union define?
88 constellations.
45
What is the Bayer letter system used for?
Stars are labelled with Bayer letters, ordering them from brightest to dimmest, with alpha (𝛼) being the brightest.
46
What is the Flamsteed number system?
Stars are named by their position in the sky across the constellation, from west to east.
47
What is a catalogue number in astronomy?
A unique identifier for stars in various catalogues, such as HR, HD, and HIP numbers.
48
What does the magnitude system measure?
The brightness of a star.
49
What does a lower magnitude number indicate?
Brighter stars.
50
What is the brightness ratio for a difference of 5 magnitudes?
A brightness ratio of 100.
51
What is the apparent magnitude of Sirius?
-1.5.
52
Fill in the blank: The dimmest stars observed with a telescope are about magnitude _______.
+30.
53
What is parallax?
A method used to determine the distance to a star by measuring its position change from different perspectives.
54
What does the term 'proper motion' refer to?
The apparent motion of stars against the background of more distant stars.
55
What are the basic questions we seek to answer about stars?
How far away are they? How big are they? How hot are they? What are they made of?
56
What is the significance of the Gaia catalogue?
It is the largest star catalogue, containing over one billion stars.
57
What is the concept of 'luminosity' in relation to stars?
The total amount of energy emitted by a star per unit of time.
58
True or False: The Sun is the closest star to Earth.
True.
59
What is the relationship between distance and apparent magnitude?
The brightness observed depends on the distance from Earth.
60
What are some examples of the brightest celestial objects by magnitude?
* The Sun: -26.7 * The full moon: -12.5 * Venus: -4 to -5 * Jupiter: -2.5.
61
What is the definition of 'absolute magnitude'?
The brightness of a star as it would be observed at a standard distance of 10 parsecs.
62
What is the inverse square law in relation to stellar brightness?
The brightness of a star decreases with the square of the distance from the observer.
63
What is parallax in astronomy?
The process of using triangulation to determine the distance to a star by measuring its apparent shift in position as seen from different locations on Earth's orbit. ## Footnote Parallax is crucial for measuring distances to stars and involves observing the star from two different points in Earth's orbit.
64
How is a star's position measured in the sky?
Using angles, specifically in degrees, arcminutes, and arcseconds. ## Footnote One degree is divided into 60 arcminutes, and each arcminute is divided into 60 arcseconds.
65
What is the astronomical unit (AU)?
The average distance between the Earth and the Sun, defined as 1 AU = 150,000,000 km. ## Footnote This unit is commonly used for distances within our Solar System.
66
What is a light year (ly)?
The distance that light travels in one year, equivalent to approximately 9.5 Γ— 10^12 km. ## Footnote 1 light year is also equal to about 63,000 AU.
67
What is a parsec (pc)?
A unit of distance used in astronomy, defined as 1 parsec = 3.26 light years. ## Footnote The parsec is related to the parallax method for measuring distances to stars.
68
What is the relationship between distance and parallax angle?
Distance is inversely proportional to the parallax angle; further stars have smaller parallax angles. ## Footnote The formula for distance in parsecs is d (pc) = 1/p (arcseconds).
69
What is proper motion in astronomy?
The actual movement of a star through space, separate from its apparent motion caused by parallax and Earth's rotation. ## Footnote Most proper motions are not noticeable without precise measurements.
70
What is luminosity in the context of stars?
The rate at which a star emits energy in the form of light, measured in Watts (W). ## Footnote The Sun has a luminosity of 4 Γ— 10^26 W.
71
What does the inverse square law state regarding stars?
The intensity of light from a star decreases with the square of the distance from the star. ## Footnote This means that if you double the distance, the brightness decreases by a factor of four.
72
What is absolute magnitude?
A measure of the intrinsic brightness of a star as it would be observed from a standard distance of 10 parsecs. ## Footnote The absolute magnitude is denoted by M, while apparent magnitude is denoted by m.
73
What is the distance modulus?
The difference between a star's apparent magnitude and absolute magnitude, expressed as m - M. ## Footnote A negative distance modulus indicates a star is closer than 10 parsecs.
74
How does the color of a star relate to its temperature?
Hotter stars appear blue, while cooler stars appear red, with colors ranging from blue to red based on surface temperature. ## Footnote This color-temperature relationship is counterintuitive as red is often thought of as 'warm'.
75
What is a black body in physics?
A hypothetical object that perfectly absorbs all radiation falling on it and emits light based on its temperature. ## Footnote Many real objects, including stars, can be approximated as black bodies.
76
What temperature scale is used in astronomy?
The Kelvin scale, where absolute zero is the zero point. ## Footnote The conversion from Celsius to Kelvin is done by adding 273.15.
77
What is the significance of Barnard's star?
It has the greatest proper motion of any star, moving just over 10” per year. ## Footnote Its parallax angle is about 0.55β€²β€², making it one of the closest stars to Earth.
78
What is the conversion formula from Celsius to Kelvin?
kelvins = β—¦C + 273.15
79
What is absolute zero in the Kelvin scale?
The coldest temperature possible, with no thermal energy.
80
How does the shape of blackbody spectra change with temperature?
* Maximum intensity increases * Total intensity (area under the curve) increases * Curve shifts in wavelength to lower values (towards ultraviolet)
81
What is the temperature that best matches the Sun's spectrum?
Approximately 5800 K
82
What is the peak wavelength of the human body's blackbody spectrum?
Infrared
83
What does the colour index of a star quantify?
The difference in a star’s brightness in different colours of light.
84
What are the main wavebands used in measuring star brightness?
* U β€” ultraviolet * B β€” blue * V β€” visible
85
For a star at 15000K, what will be the relationship between B and V magnitudes?
B βˆ’ V < 0 (the star appears blue)
86
For a star at 7000K, what will be the relationship between B and V magnitudes?
B βˆ’ V β‰ˆ 0 (the star appears white)
87
For a star at 3000K, what will be the relationship between B and V magnitudes?
B βˆ’ V > 0 (the star appears red)
88
What is the typical surface temperature range for the coolest stars?
Around 3000K or slightly lower
89
What is the surface temperature of the hottest stars?
In excess of 20,000K
90
What is the radius of the Sun?
Approximately 700,000 km
91
What is the Stefan-Boltzmann law?
Luminosity = (constant) Γ— (surface area) Γ— (temperature)⁴
92
How can we calculate the luminosity of a star using the Stefan-Boltzmann law?
L = 4πσRΒ²T⁴
93
What is the typical radius range for small stars?
Around 0.1RβŠ™
94
What is the radius of Betelgeuse?
Approximately 760RβŠ™
95
What percentage of stars are binary or multiple star systems?
Around 50%
96
What is a visual binary star?
A system of stars where the individual stars can be seen separately.
97
Give an example of a visual binary star.
Castor
98
What is an astrometric binary?
A binary system where one star is much fainter than the other, causing observable changes in the brighter star's position.
99
What is a famous example of an astrometric binary?
Sirius
100
What are eclipsing binary stars?
Binary systems viewed in line with their orbit, causing periodic dips in brightness.
101
What are spectroscopic binary stars?
Binary systems observed based on changes to their spectral lines due to the Doppler effect.
102
What is the formula relating orbital period and the total mass of binary stars?
aΒ³ / (M₁ + Mβ‚‚) = PΒ²
103
What is the unit often used for measuring stellar mass?
Solar masses (MβŠ™)
104
What are the laws of planetary motion fundamental to?
The study of star systems and any orbital configuration.
105
What does Kepler's third law relate?
The period of an orbit 𝑃 to the average distance (semimajor axis π‘Ž) and the total mass of the bodies.
106
How is Kepler's third law expressed mathematically?
π‘ŽΒ³/(𝑀1 + 𝑀2) = 𝑃²
107
What units should the star masses, semimajor axis, and period be in for Kepler's third law?
Star masses in solar mass MβŠ™, semimajor axis in AU, and period in years.
108
What does the left-hand side of the equation approximately equal for the Earth-Sun system?
1
109
If a visual binary star system has an average separation of 10 AU and a period of 20 years, what is the total mass of the stars?
2.5MβŠ™
110
What changes the position of the center of mass in a two-body system?
The relative masses of the bodies.
111
What is the ratio of distances from the center of mass equivalent to in a binary star system?
The ratio of the stars' masses (𝑀1/𝑀2).
112
What is the combined mass of Sirius A and Sirius B?
3MβŠ™
113
How is the mass of Sirius A related to Sirius B if the ratio of their masses is 2:1?
𝑀𝐴 = 2𝑀𝐡
114
What defines the least massive stars?
They have about one tenth the mass of the Sun.
115
What are brown dwarfs?
Star-like objects that cannot undergo nuclear fusion due to insufficient mass.
116
What is the mass range for the most massive stars?
100-120 times the mass of the Sun.
117
What happens to stars above about 100 MβŠ™?
They become so luminous that radiation pressure blows off their outer layers.
118
What does the Hertzsprung-Russell (HR) diagram plot?
Stars based on their temperatures and luminosities.
119
Where are hotter stars located on the HR diagram?
Towards the left.
120
What is the main sequence on the HR diagram?
A diagonal band where most stars fall during their longest part of their lifetimes.
121
What is the relationship between temperature and luminosity on the main sequence?
Hotter stars are always more luminous.
122
What are giants and supergiants in the context of the HR diagram?
Stars that are more luminous than main sequence stars with the same temperature.
123
What defines white dwarfs?
Stars that are white in color but much less luminous than white main sequence stars.
124
What is the mass-luminosity relation for main sequence stars?
𝐿 ∝ 𝑀³.⁡
125
If a main sequence star has a mass double that of the Sun, what is its luminosity in solar units?
11.3LβŠ™
126
What classification system is used for stars based on temperature?
Harvard classification system.
127
What are the temperature classes in stellar classification?
O, B, A, F, G, K, M
128
What does adding a luminosity class after the temperature class indicate?
It differentiates stars of the same temperature based on their sizes.
129
What is the luminosity class for bright supergiants?
Ia
130
What is the classification for main sequence stars?
V
131
What are absorption lines in a star's spectrum?
Dark bands that indicate the presence of specific elements.
132
What is the most abundant element in the Sun's atmosphere?
Hydrogen (73.9% by mass)
133
What is nuclear fusion?
The process through which stars generate energy by fusing hydrogen into helium.
134
What is the approximate luminosity of the Sun?
4 Γ— 10²⁢ joules every second.
135
What is the Kelvin-Helmholtz timescale?
The calculated lifetime of the Sun based on gravitational contraction.
136
What is the Kelvin-Helmholtz timescale?
The lifetime of the Sun under the gravitational contraction scheme, estimated to be about 25 million years.
137
What equation did Einstein publish that relates mass and energy?
E = mcΒ²
138
How much energy is produced by converting 100g of an apple's mass to energy?
9 Γ— 10¹⁡ J
139
What are the two types of nuclear reactions that can convert mass to energy?
* Fission: splitting heavy atoms into smaller ones * Fusion: joining small particles/atoms to produce heavier elements
140
Where does fusion occur in the Sun?
At the core of the Sun.
141
What are protons?
Positively charged particles found in the nucleus of an atom.
142
What are neutrons?
Particles similar in mass to protons but with no charge, also found in the nucleus.
143
What are electrons?
Negatively charged particles that orbit the nucleus.
144
Define atomic number (Z).
The number of protons in the nucleus.
145
What are isotopes?
Atoms with the same number of protons but different numbers of neutrons.
146
What is an ion?
An atom with fewer or more electrons than protons.
147
What is the main reaction that fuels the Sun?
The creation of helium from four single protons (hydrogen nuclei).
148
How much energy does each reaction produce in the Sun's fusion process?
3.96 Γ— 10⁻¹² J
149
What is the estimated lifetime of the Sun based on fusion?
95 billion years
150
What is hydrostatic equilibrium?
A balance between gravitational force and gas pressure within the Sun.
151
What are the three concentric layers of the Sun's interior?
* Core: where fusion takes place * Radiative zone: heat transferred through radiation * Convective zone: heat transported by buoyancy of gas bubbles
152
What is the temperature of the Sun's core?
About 15 million K.
153
What is the temperature of the Sun's surface?
About 6000 K.
154
What is the process of energy transport in the radiative zone?
Energy is transported primarily by light radiation.
155
What phenomenon causes the granules observed on the Sun's surface?
Convection of hot gas bubbles.
156
What is the CNO cycle?
A process for converting hydrogen to helium that occurs in more massive stars.
157
What is radioactive decay?
The spontaneous emission of particles from an unstable nucleus, transforming it into a different element.
158
Define half-life.
The time it takes for half of a substance to decay.
159
What is the first step in the CNO cycle?
12C captures a proton, producing 13N and a photon.
160
What happens to 13N in the CNO cycle?
It decays into 13C, emitting a positron and a neutrino.
161
What is produced at the end of the CNO cycle?
12C and 4He.
162
What is the decay process of 15O?
15O decays into 15N, producing a positron and a neutrino ## Footnote The half-life of 15O is 122 seconds.
163
What is produced when 15N captures a fourth proton?
12C and 4He are produced ## Footnote This reaction is part of the CNO cycle.
164
How does the CNO cycle compare to the p-p chain?
Both processes convert 4 protons into helium ## Footnote The CNO cycle occurs in stars with greater mass.
165
Why does the CNO cycle occur in stars larger than the Sun?
Greater temperatures are required to overcome electrostatic forces ## Footnote The electric charge of heavier elements involved in the reaction is greater.
166
What is the relationship between stellar mass and convective envelopes?
Stars larger than the Sun have smaller convective envelopes, some having none at all.
167
What is the sensitivity of the CNO cycle to temperature?
The rate at which the CNO cycle generates energy is extremely sensitive to temperature.
168
What happens to helium in the cores of main sequence stars?
Helium builds up in their cores until hydrogen fusion stops.
169
What is the triple alpha process?
It is the fusion of three helium nuclei to form carbon-12 (12C) ## Footnote Requires temperatures around 108K.
170
What does the fusion of two helium nuclei result in?
It does not result in a stable nucleus.
171
What accounts for the dip in abundance of Li, Be, and B?
The triple alpha process jumps from helium (Z = 2) to carbon (Z = 6).
172
What is helium capture?
It is the fusion of helium nuclei with heavier elements, increasing atomic and mass numbers ## Footnote Example: 12C + 4He β†’ 16O.
173
What is photodisintegration?
It is the process where energetic gamma-ray photons break apart nuclei.
174
What is the most stable isotope of iron?
Iron-56 (56Fe).
175
Why does fusion in stars stop at iron?
Energy cannot be released in the fusion of iron.
176
What is binding energy?
It is the energy required to break a nucleus completely apart.
177
What is the binding energy curve?
It plots binding energy per nucleon against the number of nucleons (mass number).
178
What happens to a nucleus as it grows larger?
More neutrons are needed to keep the nucleus stable.
179
What is the s-process?
It is a slow neutron capture process that builds heavier isotopes in stars.
180
What is the r-process?
It is a rapid neutron capture process occurring under extreme conditions, such as in supernovae.
181
What is technetium-99 and why is it significant?
It has no stable isotopes and is produced in s-process reactions ## Footnote Its spectral lines are observed in red giant stars.
182
What is the brightness trend of a supernova?
Brightness falls rapidly at first, followed by a gradual dimming.
183
What layers make up the Sun's atmosphere?
Photosphere, chromosphere, and corona.
184
How does the temperature change in the Sun's atmosphere?
Temperature changes with height above the surface.
185
What are the main layers of the Sun's atmosphere in increasing height?
Photosphere, Chromosphere, Corona ## Footnote Each layer has distinct temperature and density characteristics.
186
What is the temperature of the photosphere?
5800 K ## Footnote The photosphere is where most of the light radiated from the Sun is released.
187
What are the main visible features of the photosphere?
Granulation, Sunspots, Pores ## Footnote These features can be observed especially during times of solar activity.
188
What is the chromosphere and how thick is it?
A layer above the photosphere, about 1500 km thick ## Footnote It starts 500 km above the surface.
189
What spectral line is responsible for the reddish appearance of the chromosphere during solar eclipses?
H-alpha ## Footnote H-alpha has a wavelength of 656.3 nm.
190
What is the temperature range in the chromosphere?
Increases from photosphere temperature to about 20,000 K ## Footnote Density drops steadily as well.
191
What is the transition region in the Sun's atmosphere?
A very thin layer where temperature rises from 20,000 K to over 1,000,000 K ## Footnote It separates the chromosphere from the corona.
192
What is the coronal heating problem?
The unexpected increase in temperature of the corona as we move away from the Sun's surface ## Footnote This area is a significant research focus in astrophysics.
193
What types of radiation are used to observe the corona?
Ultraviolet and X-rays ## Footnote These wavelengths must be observed from space due to atmospheric blockage.
194
What is granulation in the context of the Sun's photosphere?
Bright cells surrounded by dark borders, about 1000 km wide ## Footnote This is evidence of the convective zone underneath.
195
What are sunspots and why do they appear darker than the surrounding photosphere?
Dark patches due to being about 2000 K cooler ## Footnote They indicate areas of strong magnetic activity.
196
What is the typical size of sunspots compared to Earth?
Several times the size of the Earth ## Footnote They often appear in pairs of opposite magnetic polarity.
197
What is the solar cycle?
An 11-year cycle of solar activity as indicated by sunspot numbers ## Footnote Solar maximum is when activity is highest, and solar minimum is when it is lowest.
198
What is differential rotation in the context of the Sun?
The Sun rotates at different rates depending on solar latitude ## Footnote 25 days at the equator and 35 days at the poles.
199
What is the significance of starspots?
Indirectly inferred by dips in a star's brightness ## Footnote Larger starspots are easier to detect.
200
What phenomenon often accompanies solar flares?
Coronal mass ejections (CMEs) ## Footnote Both can significantly impact space weather.
201
What is space weather?
The study of the changing environment in space, particularly concerning Earth ## Footnote Includes phenomena like solar wind and CMEs.
202
What are stellar flares?
Rapid brightenings in the light received from distant stars ## Footnote These can be much more powerful than solar flares.
203
What is a superflare?
An extremely powerful flare from a star, up to 100,000 times stronger than solar flares ## Footnote Can cause significant impacts on planetary habitability.
204
What would a superflare occurring on the Sun cause?
Unprecedented damage to our systems here on Earth
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How can flares on distant stars impact orbiting planets?
They can increase UV radiation, which can be extremely harmful to lifeforms
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What is the significance of the outer convective zone of the Sun?
It leads to many magnetic phenomena and cycles of activity revealed by sunspot numbers
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What does the Sun's activity drive?
Space weather that can impact us here on Earth
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Which type of stars show evidence for similar magnetic activity as the Sun?
Lower mass stars due to their greater convective envelopes
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What does the study of the Sun help us understand?
Spectacular distant objects
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Fill in the blank: The Sun’s activity is revealed by _______.
sunspot numbers
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True or False: The outer convective zone of the Sun has no impact on magnetic phenomena.
False
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What happens to the brightness of a flare star during stellar flares?
It shows multiple spikes in brightness