| Name ______________________________________ Date ____________ | |
|---|---|
Modern Day Cosmology: The Hubble Deep Field |
Students will analyze the galaxies in and the structure of the Hubble Deep Field by noting possible clustering, identifying the Hubble types of some galaxies, recognizing patterns in the colors of galaxies versus Hubble type, and speculating what an even deeper image might reveal.
It is humbling to realize that as we look at galaxies at distances of 12 or 15 billion light years away, we are, in fact, viewing the Universe as it was 12 or 15 billion years ago. The concept of the finite speed of light and "look-back time" means we actually can "see" our Universe as it was a few billion years after its very creation.
As part of this exercise, you need to take a look at the Hubble Deep Field (linked above), an image that takes us far out into space and far back in time. There are thousands of galaxies of many shapes and colors. By "deep," astronomers mean dim and distant. This is an image of the faintest objects ever detected. It reaches 30th magnitude, or about 4 billion times fainter than the naked human eye can see. To create it, the Hubble Space Telescope was programmed to expose its electronic detectors for about 100 hours over the course of 10 days, pointed at the tiny region of space near the constellation Ursae Majoris.
This image covers an area about 1/100 that of the full Moon. After this image was obtained, the 10-m Earth-based Keck telescope was used to observe the faint blue galaxies in the image. Astronomers have concluded that the small blue shards are among the most distant objects ever seen. These objects may represent galaxies caught in the act of formation. In all, the number of galaxies in the image implies that there are about 40 billion galaxies in the observable universe.
Take a closer look at the reproduction of the Hubble Deep Field. Noted next to many of the galaxies is the redshift, also known as z, for that galaxy (except for a few cases, the corresponding galaxy is usually the galaxy located to the upper left of the redshift number). For nearby galaxies, where z is much less than 1, the redshift is defined as:

or what you calculate in the "Hubble Law" lab. If you take a close look at a few of the galaxies, you will note that there are redshifts of 1.36, 2.80, 3.23, even 4.02. Does this mean v/c is greater than 1 and these galaxies are traveling faster than the speed of light?
Nope! Once the redshift of a galaxy approaches 1, we still calculate v/c the same, but we must take special relativity into account when figuring z. We use a modified formula of:

As the recessional velocity of the galaxy approaches the speed of light, the denominator becomes very small (goes to "0" and equations blow up when a number is divided by 0) and z approaches infinity.
Most of the calculations have been done for you for this part of the exercise. In addition to the Hubble Deep Field image you will need to use the histogram of the cosmic redshifts (linked above under "materials") for a selection of galaxies in this field. That is, the redshifts have been binned from z = 0.0 to z = 4.0 in 0.1 increments. Review this histogram of the cosmic redshifts and the image of the Hubble Deep Field and answer the questions on the back of the grid.