What happens the moment that light leaves the surface of a star?
The light begins to spread out uniformly through a spherical shell
Why do light sources which are further away appear fainter?
Because the emitted light has been spread out over a greater area (as it spreads out uniformly through a spherical shell)
What is the equation for the surface area of a sphere?
Spherical surface area = 4πr2
How can the inverse square law of radiant flux intensity be calculated?
F = L/4πd2
Where:
- F = radiant flux intensity, or observed intensity on Earth (W m-2)
- L = luminosity of the source (W)
- d = distance between the star and the Earth (m)
What does the equation below assume?
F = L/4πd2
Think luminosity, flux and distance.
What does the equation below show?
F = L/4πd2
What is the principle of parallax based on?
How the position of an object appears to change as the position of the observer changes
(e.g. when observing the scale on a metre ruler, looking at eye level gets a different reading to viewing from above or below the scale)
What is stellar parallax?
The apparent shifting in position of a nearby star against a background of distant stars when viewed from different positions of the Earth, during the Earth’s orbit about the sun
Why might a nearby star be observed from the Earth in January and again in July?
To view the star from two opposite positions in Earth’s orbit (six months apart), which maximises the distance between observations.
This helps make the shift in the star’s position (the stellar parallax) easier to measure.
What is the name given to the apparent shift in the position of a nearby star when viewed from different positions of the Earth in its orbit?
Stellar parallax
What is the general equation for the stellar parallax of a nearby star?
p = AU/d
Where:
* p = parallax angle from earth to the nearby star (radians or arcseconds/arcminutes)
* AU = astronomical unit (average Earth to Sun distance)
* d = distance to the nearby star
What is the simplified astronomic equation for the stellar parallax of a nearby star?
p = 1/d
Where:
* p = parallax angle (arcseconds)
* d = distance (parsecs)
What are arcseconds?
A unit for measuring very small angles (particularly in astronomy)
1 arcsecond = 1/3600 of a degree
* 60 arcseconds = 1 arcminute
* 60 arcminutes = 1 degree
What is the value of 1 arcsecond in degrees?
1 arcsecond = 1/3600 of a degree
What is the value of 1 degree in arcseconds (“)?
1 degree (º) = 3600 arcseconds (“)
(This means that 1 degree (º) = 60 arcminutes (‘))
What is the correction for any confusion surrounding arcseconds (“) and arcminutes (‘)?
What is a parsec?
A unit of distance that gives a parallax angle of 1 arcsecond (1/3600 of a degree) (“). It uses the radius of the Earth’s orbit (1 AU) as the baseline of a right-angled triangle)
Up to what distance is the equation below accurate for?
p = 1/d
100 parsecs (pc)
This is because for distances greater than 100 pc, the parallax angles become so small that they are very difficult to be accurately measured
What is the value of 1 parsec in metres?
1 parsec ≈ 3.1 x 1016 m
What is the value of 1 light-year in metres?
1 light-year ≈ 9.5 x 1015 m
What is the simplified symbol unit for arcseconds?
”
What is the simplified symbol unit for arcminutes?
’
What is a standard candle defined as?
An astronomical object which has a known luminosity due to a characteristic quality possessed by that class of object
What is an example of a standard candle?
A type 1a supernovae
(A supernova explosion involving a white dwarf, which always has the same luminosity at the time of explosion)