Not sure if this can be considered suitable for the Mathematics forum; a calculation in Astrophysics :)
The scale factor a(t) describes the expansion of the Universe. By considering how the redshift of light depends on the scale factor, calculate how the present-day physical separation of galaxies com- pares with their separation when light left galaxies we see today at redshift 1?
What is it youre wanting to calculate?
Maybe it's the z+1 = a_now/a_then....dunno.
I cant tell if youre asking about the doppler effect making the galaxies appear redshifted since they are mostly moving away from us, or what
Yeah, I think possibly I have to derive it? I take comfort in the fact that no one else really understands it either haha
Doesn't say anything about the Doppler effect.... :S assignment question is just written as above :/
Completely guessing here but if 2 = a_now/a_then -> implies doubling....
What do u think, twice as far apart..?
Is this formula z+1 = a_now/a_then in your course?
Erm, if wavelengths have doubled (and lambda_now/lambda_then = a_now/a_then) then that implies the universe was half its present size when the light was emitted... Is that what you mean? And yep, thats the equation :)
Well when did redshift 1 occur?
/=equation - formula**
I don't know when redshift = 1 was/is/will be :S
So z is redshift-> 2 = a_now/a_then would seem to say that the "scale" is twice as big as it was then.
Or it was half what is now, if u prefer...
So the galaxies are twice as far apart now... Not my specialty this, I got that formula from http://en.wikipedia.org/wiki/Redshift
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