Formulas Flashcards
1
Q
z =
A
λ(obs)-λ(em)/λ(em)
2
Q
v(rec) =
A
H(0)d
3
Q
v(obs) =
A
H(0)d + v(pec)
4
Q
r(t) =
A
a(t) x s
5
Q
H(t) =
A
a(dot)/a
6
Q
a^3(t)p(t) =
A
a^3(t(0))p(t(0)) = p(0)
7
Q
Ω(t) =
A
p(t)/p(c)(t)
8
Q
p(dot) + ∇ . (pv(v)) = - P/c^2 ∇ . v(v)
A
where RHS is the relativistic correction
p = p(0) + U/c^2
9
Q
mass continuity
A
p(dot) + 3(p + P/c^2)H = 0
10
Q
equation of state P(p) =
A
{Kp^5/3 adiabatic case
{Kp isothermal case
11
Q
Visible stars in the Milky way p =
A
N(stars) x M(sun) / volume of Milky Way
12
Q
Keplers third law
A
GM(gal)P^2 = 4π^2a^3
13
Q
<v^2> =
A
<v(radial)^2> = 3σ^2
14
Q
v^2(rot)/R =
A
GM/R^2
where M = 4/3 π p R^2
