Astro 122 – Astronomy of Stars and Galaxies–Formula Sheet 1
P2=a3(around Sun)
Perihelion=a(1 −e)
Aphelion=a(1 + e)
e=c/a
c=fλ
E=hf
(Emitted) Flux=σT 4
(Received) Flux= L
4πd2
L= 4πR2σT 4
λmax =2.9
T[K]mm =2.9×106
T[K]nm
d[parsecs]= 1
p[arcsec]
vrad/c = (λshif t −λrest )/λrest
P2=4π2a3
G(M1+M2)
E=mc2
Mbalance = 18Mp(T3/n) (nin cm−3)
LObs =LLocal ∗p1−(v/c)2
MObs =Mrest/p1−(v/c)2
RS= 2GMBH /c2
∆x∆p>h
tBH = 10,240π2G2M3/(hc4)
Mr=rv2/G
v=c∗z
v=H0∗d
1 + z=λobs/λrest =TC MB ,then/TC MB ,now
vH=(140 m/s)√T
Constants:
AU=1.496 ×1011 m
light-year (ly)=9.46 ×1015 m
parsec (pc)=3.09 ×1016 m=3.26 ly
c= 3.00 ×108m/s
G= 6.67 ×10−11 m3/kg/s2
h= 6.63 ×10−34 J s
σ= 5.67 ×10−8W/m2/K4
mp= 1.67 ×10−27 kg
MSun = 2.0×1030 kg
RSun = 6.96 ×105km
LSun = 3.8×1026 W
REarth = 6.38 ×103km
year=3.15 ×107s
H0=22 km/s/Mly
