Astrophysics: Extra Flashcards
Minimum angular resolution
Resolving power
The minimum angular separation which the instrument can resolve/distinguish
Measured in radians
What does minimum angular resolution
How far away they are
How close they are
Why do telescopes not focus stars to a perfect point
Focus as an airy disc/pattern
Seen as the diffraction pattern from a point of light as the light waves diffract through the aperture of a telescope
Formula for minimum angular resolution assuming the limit is due to diffraction by the circular objective
Rayleigh criterion formula on formula sheet
Explain the Rayleigh criterion formula
Theta is the minimum angle that can be resolved in radians
Wavelength of light in metres
D is the diameter of the objective lens or primary mirror in metres
What is collecting power
An important parameter
A measure of its ability to collect incident electromagnetic radiation
Directly proportional to the square of the diameter
Black body
Perfect absorber and emitter of electromagnetic radiation
Absorbs all the EM radiation that falls on it
And a perfect emitter
What is a spectrum
A graph of intensity against wavelength or frequency
What is the area of an intensity wavelength graph
How much energy is emitted for the wavelengths
What can be said about the total amount of radiation from a body when the temperature increases
Total amount of radiation increases
Explain the graph for Wein’s displacement law
Wavelength max on y
Temperature of x
Inversely proportional
Hotter stars will produce more light at the blue/violet end of the spectrum and will appear bluer or blue-white
Cooler stars look red as they produce more of their light at longer wavelengths
Assumptions made for Wein’s displacement law
No radiation is absorbed in space/by earths atmosphere
Assume to be a perfect black body
Why might ground-based observations of stars lead to erroneous conclusions regarding the temperature
Space is better because less impediment to radiation so gives a lower maximum wavelength
Atmosphere not equally transported to all wavelengths
Stefan’s law
Relates the total power output, P, of a star to its black body temperature, T, and its surface area, A
Tells you if two stars have the same black body temperature (are the same spectral class), the star with the brighter absolute magnitude has the larger diameter
Ratio equation for power output against diameter for two black bodies
P1/P2 = T1^4d1^2/T2^4d2^2
Order of spectral classes
O: Oh B: Bugger A: A F: Fucking G: Goat K: Killed M: Me
Hottest temperature is for O (blue) and coolest is for M (red)
Balmer series
Excitation from n=2
Useful since visible light so can be detected
Spectral class O prominence of Balmer lines
Weak
Collisions of atoms at high energy levels ionise hydrogen