Classification of Stars Flashcards
What is apparent magnitude?
The perceived brightness of a star as seen from Earth.
What was the Hipparcos scale originally like?
A scale that classifies stars by there apparent magnitude.
mag 1 - Brightest stars
Mag 6 - Very faint
What is the Hipparcos scale like now?
Mag 1 star is 100 times brighter than mag 6 star.
Brightness from a m1 to m2 star decreases by a factor of 100^1/5 (2.51)
How do you compare the brightness of 2 objects?
I₁/I₂ = 2.51^(m1 - m2)
I₁/I₂ = ratio of intensities of object s
If the apparent magnitude is negative, is it bright or faint?
The more negative the apparent magnitude, the brighter the object appears.
(Sun has an apparent magnitude of -26, Pluto has one of 15).
At what order of magnitude do stars become invisible to the naked eye?
After magnitude 6.
What is luminosity defined as?
The total power output of radiation/power emitted by a star.
What are the units for luminosity?
Watts (W)
What is the brightness of a star defined as?
The intensity of radiation received on Earth from a star.
What are the units for brightness?
Wm⁻²
How does the inverse square law tie into intensity and radiation?
Apparent brightness / intensity observed at Earth = Luminosity / 4π(distance between star and Earth)²
I = L/4πd²
When the light is twice as far away, it has spread over four times the area, hence the intensity is four times smaller.
What is an astronomical unit (AU)?
The mean distance from the centre of the Earth to the centre of the Sun.
(1.50x10¹¹m)
What is a light year?
The distance travelled by light in one year.
= 9.5x10¹⁵m
What is a parsec?
The distance at which the radius of the Earth’s orbit (1AU) around the Sun subtend sat an angle of 1 arcsecond.
3.08 × 10¹⁶m
What is an arcminute and arcsecond?
1 degree = 60arcminutes
1 arcminute = 60 arcseconds
1 arcsecond = 1/3600 degree
What is absolute magnitude of a star?
The apparent magnitude it would have if it were observed 10 parsecs away from Earth.
What is the relationship between apparent magnitude and absolute magnitude? (in equation form)
m - M = 5log(d/10)
M = absolute magnitude
m = apparent magnitude
d = distance of the star from Earth (in parsecs)
What is a black body?
A surface that absorbs all radiant energy falling on it.
What is an ideal black body radiator?
One that absorbs and emits all wavelengths.
(Theoretical but stars are the closest thing to it)
What is Wien’s displacement law?
The black body radiation curve for different temperatures peaks at a wavelength that is inversely proportional to the temperature.
What is the formula that describes Wien’s law?
λmax ∝ 1/T
λmax = the maximum wavelength emitted by an object at the peak intensity (m)
T = surface temperature of an object (K)
What can Wien’s law also be written as and what does it show? (the constant)
λmaxT = 2.9 × 10⁻³mK
- The higher the temp of a body, the shorter the wavelength at the peak intensity and the greater the intensity of the radiation at each wavelength.
What is an assumption we make about stars? (in terms of their radiation)
They are a black body
What is Stefan’s Law? (Written)
The total energy emitted by a black body per unit area per second is proportional to the fourth power of the absolute temperature of the body.