Astronomy Final

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astr_100_formula_sheet.pdf

Constants & Formulas

c = 300,000,000 m/s

c = 300,000 km/s

1 pc = 3.26 Ly

1 Mpc = 1,000,000 pc

1 Ly = 9.46 x 1015 m

1 nm = 10−9 m

1 AU = 1.50 x 1011 m

1 AU = 1.50 x 108 km

H = 72 km/s/Mpc

σ = 5.67 x 10−8 W/m2/K4

G = 6.673 x 10−11 m3/kg/s2

Tsun = 5780 K

Lsun = 3.83 x 10 26 W

Msun = 2.00 x 10 30 kg

Rsun = 6.96 x 10 8 m

MEarth = 5.97 x 10 24 kg

REarth = 6,378,000 m

d = ct(1)

P 2 = a3(2)

Vescape =

√√√√2 GM R

(3)

c = λf(4)

Vr = H d(5)

T = 3.00 x 106

λm (6)

V =

 ( λ λ0

)2 − 1

 

 ( λ λ0

)2 + 1

  c(7)

B = L

4πd2 (8)

L = 4π R2 σ T 4(9)

R

RSun =

( TSun T

)2 √√√√ L LSun

(10)

dpc = 1

p (11)

M1 + M2 = a3

P 2 (12)

M = (L) 1 3(13)

RS = 2 GM

c2 (14)

L = 2 π D A

360 (15)

Fgravity = GM1 M2

R2 (16)