I talked to my professor. Apparently it goes like this:
1. p^2=a^3/Mt
t is being used as a substitute for the sun symbol since this is the internet
Mt = The combined mass of both bodies. My paper actually has the sun symbol rather than a "t", but I cannot enter that here.
a=au
P=earth years
For Mt
2(6x10^30kg)
(12x10^30kg/1) (1Mt/2x10^30kg) = 6Mt
For a
(3x10^8km/1) (1au/1.5x10^8km) = 2au
2^3/6 = 8/6 = 4/3 = (square root of) 4/3 = 1.1547 years
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2.
λo/λs = (1+v/c)
λo/λs - 1 = v/c
c(λo/λs - ) = v
c = speed of light
λo = observed wavelength
λs = actual wavelength
Since λo isn't given, convert fo (observed frequency) into λo
fo = 456.5x10^12
λf = c
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I have to go to bed, so I'll just finish this tomorrow.
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