Formulas Flashcards
(25 cards)
Luminosity, Temperature and area
L=AσT^4
Flux and temperature
F=σT^4
Peak of blackbody radiation curve
λ = (2.897*10^-3)/T
Energy and luminosity
E = LT
Effective T
T = (L/σA)^(1/4)
Focal ratio
F = f/D
Resolution
θ=λ/D
Seeing resolution
θ=λ/size of average air pocket
Number of moles in gas
n=ρ/mass of molecule
Work done when g is not constant
W = GMm[1/r] between r of Earth and r of earth plus distance traveled
Flux and apparent magnitudes
m1 - m2 = -2.5log(F1/F2)
Apparent and absolute magnitude to work out distance
m - M = 5log(r) - 5
Absolute magnitude and Luminosity with sun
Ma - Ms = -2.5log(La/Ls)
Seconds to arc seconds
Seconds15Cos(angle in declination) = arcseconds
arcseonds to degrees
3600arcseconds = 1 degree
Projected Separation
=Δθr
Δθ
= sqrt(change in dec squared + change in RA squared)
Blackbody radiation
2hc/(((λ^(5))(e^(hc/kTλ)-1))
Flux and luminosity
F = L/A
Area
4πr^2
Distance from parallax
r = 1/p
Fraction of photons that lead to an electron being read out
(Quantum efficiency)*(Charge transfer efficiency)^number of pixels
Escape velocity =
sqrt(2)Vorb = Vesc
Proper motion equation with units
v[km/s] = 4.74μ[arcsec/year]r[Pc]
