Observers live "at rest" in spiral galaxy number 5 at the "bottom" of the 2D-universe, but actual universe has no edge or center. Data below result from measuring the last two frames (4 frames total) of the expanding universe after loading them into a Mathematica notebook (or into a copy of the notebook below). Begin the Mathematica analysis by clicking on frame 3 to select it. Hold down the Command (Mac) or Alt (PC) key to show the coordinates of a galaxy, then click on the mouse to record a coordinate pair. In this manner select coordinates for a number of galaxies before entering the copy command. Paste all of the coordinates in a new cell. In the same manner, record coordinates for the same galaxies in the same order for frame 4.

 

[Graphics:Images/hubble2DAnalysis_2_gr_1.gif]

 

[Graphics:Images/hubble2DAnalysis_2_gr_2.gif]

[Graphics:Images/hubble2DAnalysis_2_gr_3.gif]

[Graphics:Images/hubble2DAnalysis_2_gr_4.gif]

 

[Graphics:Images/hubble2DAnalysis_2_gr_5.gif]
[Graphics:Images/hubble2DAnalysis_2_gr_6.gif]

Galaxy velocities are given by p2-p1 divided by 1 unit of time.

[Graphics:Images/hubble2DAnalysis_2_gr_7.gif]
[Graphics:Images/hubble2DAnalysis_2_gr_8.gif]
[Graphics:Images/hubble2DAnalysis_2_gr_9.gif]
[Graphics:Images/hubble2DAnalysis_2_gr_10.gif]

Distances to the galaxies are given by dis, as measured from galaxy 5 in the 4th frame.

[Graphics:Images/hubble2DAnalysis_2_gr_11.gif]
[Graphics:Images/hubble2DAnalysis_2_gr_12.gif]

Make ordered pairs from the distances and velocity magnitudes.

[Graphics:Images/hubble2DAnalysis_2_gr_13.gif]
[Graphics:Images/hubble2DAnalysis_2_gr_14.gif]
[Graphics:Images/hubble2DAnalysis_2_gr_15.gif]

[Graphics:Images/hubble2DAnalysis_2_gr_16.gif]

[Graphics:Images/hubble2DAnalysis_2_gr_17.gif]
[Graphics:Images/hubble2DAnalysis_2_gr_18.gif]
[Graphics:Images/hubble2DAnalysis_2_gr_19.gif]
[Graphics:Images/hubble2DAnalysis_2_gr_20.gif]

[Graphics:Images/hubble2DAnalysis_2_gr_21.gif]

[Graphics:Images/hubble2DAnalysis_2_gr_22.gif]
[Graphics:Images/hubble2DAnalysis_2_gr_23.gif]

[Graphics:Images/hubble2DAnalysis_2_gr_24.gif]

 

South Carolina State University, 01/24/2015