Formulas

Question 1

Luminosity, Temperature and area

Answer 1

L=AσT^4

Question 2

Flux and temperature

Answer 2

F=σT^4

Question 3

Peak of blackbody radiation curve

Answer 3

λ = (2.897*10^-3)/T

Question 4

Energy and luminosity

Answer 4

E = LT

Question 5

Effective T

Answer 5

T = (L/σA)^(1/4)

Question 6

Focal ratio

Answer 6

F = f/D

Question 7

Resolution

Answer 7

θ=λ/D

Question 8

Seeing resolution

Answer 8

θ=λ/size of average air pocket

Question 9

Number of moles in gas

Answer 9

n=ρ/mass of molecule

Question 10

Work done when g is not constant

Answer 10

W = GMm[1/r] between r of Earth and r of earth plus distance traveled

Question 11

Flux and apparent magnitudes

Answer 11

m1 - m2 = -2.5log(F1/F2)

Question 12

Apparent and absolute magnitude to work out distance

Answer 12

m - M = 5log(r) - 5

Question 13

Absolute magnitude and Luminosity with sun

Answer 13

Ma - Ms = -2.5log(La/Ls)

Question 14

Seconds to arc seconds

Answer 14

Seconds15Cos(angle in declination) = arcseconds

Question 15

arcseonds to degrees

Answer 15

3600arcseconds = 1 degree

Question 16

Projected Separation

Answer 16

=Δθr

Question 17

Δθ

Answer 17

= sqrt(change in dec squared + change in RA squared)

Question 18

Blackbody radiation

Answer 18

2hc/(((λ^(5))(e^(hc/kTλ)-1))

Question 19

Flux and luminosity

Answer 19

F = L/A

Question 20

Area

Answer 20

4πr^2

Question 21

Distance from parallax

Answer 21

r = 1/p

Question 22

Fraction of photons that lead to an electron being read out

Answer 22

(Quantum efficiency)*(Charge transfer efficiency)^number of pixels

Question 23

Escape velocity =

Answer 23

sqrt(2)Vorb = Vesc

Question 24

Proper motion equation with units

Answer 24

v[km/s] = 4.74μ[arcsec/year]r[Pc]

Question 25

Surface area of object in sky

Answer 25

Ω[sterradian] = (πd^2)/r^2