Active Galaxies and Mathematical Models

Dr. Mary Garrett, Educator/Ambassador for NASA’s GLAST Program

Introduction

In this presentation, we will look at how mathematical models can be used to understand natural phenomena.  We will

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GLAST:  Gamma-Ray Large Area Space Telescope

GLAST: The Story

Spectrum Astro - Artist Concept of GLASTFrom http://glast.gsfc.nasa.gov/ we can get this brief overview:

 "The Universe is home to numerous exotic and beautiful phenomena, some of which can generate almost inconceivable amounts of energy. Supermassive black holes, merging neutron stars, streams of hot gas moving close to the speed of light ... these are but a few of the marvels that generate gamma-ray radiation, the most energetic form of radiation, billions of times more energetic than the type of light visible to our eyes. What is happening to produce this much energy? What happens to the surrounding environment near these phenomena? How will studying these energetic objects add to our understanding of the very nature of the Universe and how it behaves?

The Gamma-ray Large Area Space Telescope (GLAST) will open this high-energy world to exploration and help us to answer these questions. With GLAST, astronomers will at long last have a superior tool to study how black holes, notorious for pulling matter in, can accelerate jets of gas outward at fantastic speeds. Physicists will be able to study subatomic particles at energies far greater than those seen in ground-based particle accelerators. And cosmologists will gain valuable information about the birth and early evolution of the Universe. " 
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High Energy Objects

There is an excellent summary of high energy objects to be found at: http://super.colorado.edu/~astr1020/lesson11.html .  The table on that site can give you some historical perspective of the discoveries.

Radio-lobe Galaxies
From http://cosmos.astroscu.unam.mx/~sergio/phdthesis/phdlatex2html/node9.html we learn that "In the early 1900's, observations of the elliptical galaxy M87 (NGC 4486, 3C 274 or Virgo A) carried out by Heber Curtis (Curtis, 1918) revealed a ``curious straight jet ... apparently connected with the nucleus by a thin line of matter''.  These optical observations were not followed up by Curtis and it was not until the development of radio astronomy in the 1960's that jets emanating from the nuclei of certain galaxies became a major theme of research in astrophysics. "

To the right you can see a "Figure I.1:high resolution image of the archetypical powerful radio galaxy Cygnus A (3C 405) at $ \unit{5}{\giga\hertz} $. Two symmetrical jets of hot fast-moving particles are generated in the central regions of the host galaxy. The jets expand and interact with the intergalactic medium forming radio lobes which expand for tens of kiloparsecs at the edges of the radio galaxy (Perley et al., 1984)."

Seyfert Galaxies
From http://www.goshen.edu/nasc/NaSc200/Notes/Galaxies/ActiveGalaxies.html we learn "Carl Seyfert in the 1940's studied galaxies with peculiar nuclei. These galaxies look like normal spiral galaxies in photographs, but have small brilliant nuclei. The nucleus of a Seyfert can be 10,000 times brighter than the center of our Galaxy. They have strong and broad emission lines in their spectra. Recall that stars typically produce absorption lines in their spectra. Absorption lines are seen when we look through gas at a hot objects beyond. Emission lines are seen when we look directly at hot gas. This means that Seyfert Galaxies have hot gas near their nuclei. The lines are broad if the gas is moving at high velocities, so that the Doppler effect (shifting to the red and to the blue) smears out the lines.
NGC5728
These photographs of a Seyfert galaxy (NGC 5728, about 40 Mpc away) (a) from the ground and (b) from Earth orbit. View b is the small center area enlarged. There are two lobes off of the center.

To the right you can see a different view of a Seyfert Galaxy.

You can click NGC1068  to see the central region of the Seyfert galaxy, NGC1068 (about 60 million LY away), taken by the Hubble Space Telescope. We can see clouds of gas visible at the center.

Another high energy object is space is the Blazar, an object that often appears as a point-like source of bright, highly variable radiation.  

At http://pc.astro.brandeis.edu/BRAG/people/ccc/work/ you can find a report by a graduate student of another high energy item.  "During the summer of 2000, I worked at the Space Telescope Science Institute with Meg Urry and Riccardo Scarpa on near-IR imaging of BL Lac Host Galaxies. Centered are the BL Lac objects H1914-194 (left) and PKS2005-489 (right) in the K and J filters, respectively. These images were obtained with the 2.5m at the Las Campanas Observatory in Chile. Click HERE to see the collage of BL Lac Images.

This image from http://www.gsfc.nasa.gov/topstory/2003/1212einstein.html shows  an optical image of Markarian 421, a Blazar galaxy.

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Normal and Active Galaxies

As scientists studied the three types of high energy objects described above, it appeared that these three types of object might really all be the same type of object: an active galaxy.  An active galaxy.  In the introduction of the document Active Galaxies at http://www.goshen.edu/nasc/NaSc200/Notes/Galaxies/ActiveGalaxies.html we see a comparison of galaxies and active galaxies: "All galaxies emit some radio wave. Most normal galaxies emit radio waves that total only about 1% of the galaxy's total luminosity. But some galaxies emit more than a million times more radio energy than normal galaxies. These galaxies are called radio galaxies. Some galaxies have unusual emission in the infrared, ultraviolet, and x-ray region of the electromagnetic spectrum, so the term active galaxies is also used. Since most of the emission seems to come from a small region in the nucleus of these galaxies, these galaxies are said to have active galactic nuclei (AGN)."  The comparison summarized by Sarah Silva from the NASA Educational Outreach Program at Sonoma State University states it succinctly as

Active galaxies take many forms:

There are three common components of an active galaxy: 

All these different flavors of galaxies may represent the same kind of object seen at different viewing angles.

The idea of unification for different types of active galactic nuclei is explained at http://cosmos.astroscu.unam.mx/~sergio/
phdthesis/phdlatex2html/node11.html
.  There it is explained "that projection effects must play an important role in the interpretation of some of these sources. Much effort has been expended in determining to what extent different types of AGN are simply different manifestations of the same object viewed from different angles. "  To the left is a generic model for the nucleus of an active galaxy, which contains a supermassive but invisible black hole - the engine that powers the phenomena we see. To the right is a drawing of the parts of an Active Galaxy.

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One Object with different views?  The three high energy objects above can be shown using the active galaxy model to look like this:

Radio Lobes:  view perpendicular to accretion disk

Seyfert:  view at an angle to accretion disk

Labeled components

Blazar: view directly down a jet:

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Mathematical models:

Mathematics can be used to create models of natural phenomenon to help us see possible relationships more clearly.  The Active Galaxies Education Unit created as a part of NASA's Educational Outreach Program, provides teachers with a set of activities that guide students in looking at a model of an active galaxy to study it from different angles and see if we can support the unification for different types of active galactic nuclei by matching the views of mathematical models of active Galaxies to the three types of high energy objects observed.

Looking at the Active Galaxies Education Unit

Looking at Activity 1: Building Perspectives with Active Galaxies.

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More on Mathematical Models:

In this exercise we looked at physical mathematics model to help us verify that active galaxies would look different enough when look at from different directions to be initially considered to be different objects.  There are other types of mathematical models as well that help us understand complex things. 

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Conclusion

NASA has an educational outreach program designed to help teachers bring the excitement of space and active real world science into the classroom. In this presentation we have demonstrated how some of these materials can be used not only to help students understand difficult concepts such as how mathematical models can be used to show how the same phenomenon could be identified by different scientists as different phenomenon, but even how NASA materials can be the core of a complete courses. Teachers, administrators, and instructional designers should leave this session with a better understanding of the role that free NASA materials may have in making your instruction as exciting as space exploration.

If you want to order NASA materials, the order site is:  http://epo.sonoma.edu/orderformpublic.html.

References

Please note that the references were embedded in the presentation and URLs to the sources listed throughout the presentation paper.

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About the author

Dr. Mary Garrett is an Educator/Ambassador for NASA’s GLAST Program Educational Outreach Program. Mary Garrett earned her PhD in Educational Systems Development, (instructional technology emphasis) from Michigan State University. She has taught at the post-Secondary level for more than 20 years. She has won numerous awards for outstanding instruction and frequently presents at International, National, and State conferences on instructional design and educational technology issues. She is certified to teach at the secondary level and has developed instruction and taught on-line since 1995. Retired from full time instruction, she now works as an adjunct instructor for post secondary institutions.

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