Project Help Notebook by Keith Stroyan

Help NoteBook Copyright 1998 by Academic Press, Inc. - All rights reserved.
Modify this Notebook to prepare your project report.

Project 9: Hubble's Law

by A. Student and B. Pupil

with technical help from Da LabMonitor and Help Notebook

The Big Ba-Voom

Write this last.  Begin with the basic question and state your main finding clearly, but with few technical details.  You might even modify the title of this section to make it more interesting.

Beginning Explorations

Variables

Define your variables and give the units... see the print project.

Hint 8.1

Light travelling at constant rate  c  between the time  (Subscript[t, e])  and  (Subscript[t, r]), or elapsed time (Subscript[t, r]) -  (Subscript[t, e]) travels a distance

D  =  c ((Subscript[t, r]) -  (Subscript[t, e]))

The "age" of the light we see is thus

?? =??

Hubble's Law in Terms of Age of the Light

((Subscript[λ, e])/(Subscript[λ, r])) =  1  -  H*(?? )

Explain what happens to the "shift" when light is very old and what happens to the shift when light is young.

Exploration 8.2

Mathematica computations are not needed in this project.  You simply need to apply the increment approximation in various ways and explain.  Following are some variations on the increment approximation:

\(Clear[x, δx, f, dist, tE, tR]; 

    IncremEq = {
        f[x + δx] == 
          f[x]\  + \ \(f'\)[x]\ δx\  + \ ε\ δx}
        \)

\(x\  = \ tE; 
IncremEq\)

\(δx\  = \ tR - tE; 
IncremEq\)

\(f = dist; 
IncremEq\)

\(x = tR; 
δx = tE - tR; 
IncremEq\)