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These are my astronomy notes from my intro year....

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29:61 GENERAL ASTRONOMY

F ORMULA SHEET

Constants 6 R E = 6.371 x 10 m

G = 6.67 x 10 -11 N m 2 / kg2

g (Earth) = 9.8 m/ sec 2

c = 3 x 108 m/sec

1

0

= 9 x 10 9 N m2 / coul 2

4

2

0

= 5.67 x 10-8 Watts/( m 2 K4 )

A . U . = 1.49 x 10 11 m

= 10 -7 Tm/A

h = 4.13 x 10 -15 eV sec = 1.38 x 10 -23 Joules/ K

1 amu = 1.66 x 10-27 kg

Equations vz = - gt A=

2

area of circle

r

circumference of a circle

C=2 r V=

4 3 r 3

1 1 = P PE

volume of a sphere 1 S

a 1 + a2 2

r r F = ma

v r

inferior planet } { -+superior planet

(P in years, a in A.U.)

1 2 gt 2

2

a=

2 3 P =a

a=

z = h + v0 t -

(Circular orbit)

2

F= mv R r r p = mv

(Circular orbit)

29:61 GENERAL ASTRONOMY

F ORMULA SHEET #2 Page 2

1 K .E. = m v2 2 mM P .E. = - G R L= mr v F=G

mM

F = 2 G mM 3 R F=

E=

qQ

1 4

R

R2

0

1 F = q 4

Q 2

0

R

R2 F = qv B sin

vcir =

GM R

vesc = 2 v cir

I=

B=

q/ t

0

2

I R

2 3 P = Ka

c= K =4 E=

2

1

/[G( m1 + m2 )]

1 2 GmM mv 2 R

0

0

= c/f F (flux) = P/A

E = - GmM/(2 a) F (flux) = (1 / 2 1 v = GM[ - ] R a

0

) EB

2

F (flux) =

0

/

0

E

2

29:61 GENERAL ASTRONOMY

F ORMULA SHEET #2 Page 3

F (flux) =

P 4 R2

n 1 sin

f =f v c

min

min

=

d

1

= n2 sin

2

1 1 1 = (n - 1) ( + ) lens f R1 R 2

radians

}

= 2.1 x 10 5 ( ) arcsec d

single

f=

R 2

spherical mirror

slit Magnificat ion =

I 0

min

= 1.22 ( ) radians d 5

min

= 2.5 x 10 ( ) arcsec d

}

circular single vth =

aperture

3 T m

p=N T E = hf p=

p = cE E = hc/ E (flux) =

F A

dp =dz

m

4

T

p = p 0 e- z/H m

= 0.29 /T cm (T in K)

n = c/v

g

=

f0 fE

29:61 GENERAL ASTRONOMY

F ORMULA SHEET #2 Page 4

H=

T mg

vth

1 vesc 6

(

condition for

(

valid if a

a bound atmosphere

)

1 4 T=

1 a 1 a

T=

1 R

TE R

E

T E , R in A . U .

E = ( m) c 2 dN = - kN dt N = N 0 e - kT

1 and a

of if a

aE

E

1

)...