pb_aug08_icon_movie.gif Predicting the Structure of the Solar Corona
During the August 1, 2008 Total Solar Eclipse
(this is the preliminary prediction posted on July 22, 2008; go here for the final prediction)

On Friday, August 1, 2008, a solar eclipse will be visible in the northern hemisphere.  A total eclipse will occur within a narrow corridor starting over northern Canada, in the north polar region, and in northern Russia, western Mongolia, and China.  It will be visible first near Cambridge Bay, Canada at sunrise (about 9:15 UT) and continue through Greenland, cross the Arctic Ocean, enter Russia at 10:00 UT, and terminate between Xi'an and Nanjing, China at sunset (about 11:20 UT).  Maximum eclipse will occur near Nadym, in northern Siberia, north of Novosibirsk, at 10:21 UT (17:21 local time), lasting 2 minutes and 27 seconds.  To see a detailed description of the eclipse path, please visit NASA's Eclipse page.  For useful information about eclipse photography, please visit Fred Espenak's Eclipse web site.

On July 17, 2008, we started an MHD computation of the solar corona, in preparation for our prediction of what the solar corona would look like during this eclipse.  We used photospheric magnetic field data measured up to July 6, 2008, by the MDI magnetograph aboard the SOHO spacecraft.  We typically also use magnetic field measurements from the Wilcox Solar Observatory at Stanford and the National Solar Observatory SOLIS vector magnetograph at Kitt Peak.  A very useful prediction of the photospheric solar magnetic field is carried out by Karel Schrijver and Marc DeRosa at Lockheed Martin.

A preliminary prediction of the state of the solar corona during the eclipse based on this data was posted on July 22, 2008, and is presented on this page.  An updated (final) prediction based on updated magnetic field data measured up to July 21, 2008 was posted on July 27, 2008, and can be found here.

Our prediciton is based on a magnetohydrodynamic model of the solar corona with improved energy transport.  We used this model for the first time to predict the structure of the corona prior to the March 29, 2006 total solar eclipse.  The improved energy equation model includes the effects of coronal heating, the conduction of heat parallel to the magnetic field lines, radiative losses, and the effect of Alfvén waves.  This produces a significantly better estimate of the plasma temperature and density in the corona.  For technical details about our improved model, please see the publications below.  The prediction shown here uses our new model, and allows us to predict emission in extreme ultraviolet (EUV) wavelengths and X-rays, which can be compared with solar observations from the EIT imager on SOHO and the X-ray instrument on Hinode, in addition to emission in polarized white light (polarization brightness, pB) that is typically measured during an eclipse.

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The figure on the left shows the predicted polarization brightness (pB) in the solar corona for the eclipse expected on August 1, 2008 at 10:21 UT (corresponding to totality near Novosibirsk in Russia).  The state of the solar corona was computed using a 3D magnetohydrodynamic (MHD) simulation.  The pB signal is produced by white light scattered off electrons in the coronal plasma. The image has been radially detrended using the Newkirk vignetting function to account for the fall-off of coronal brightness with distance from the Sun.  Vertical (top) is terrestrial (geocentric) north.  This is the view of the Sun that would be seen by an observer on Earth with a camera aligned so that vertical is toward the Earth's north pole.  To view this image in a coordinate system aligned with solar north, click here.  Click the image to see it in greater detail.

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Predicted polarization brightness (top left) together with traces of the magnetic field lines in the solar corona (top right) for the eclipse expected on August 1, 2008 at 10:21 UT (with terrestrial north up).  The Sun's surface shows color contours of the radial component of the measured photospheric magnetic field from the MDI magnetograph, showing the location of active regions (strong magnetic fields).  Click the images for higher resolution pictures.  To view these images in a coordinate system aligned with solar north, click here.

The photospheric magnetic field maps we use for our calculations are built up from daily observations of the Sun during a solar rotation.  These maps give a good approximation of the Sun's magnetic flux if the large-scale flux does not change much throughout a rotation.  Previously, we have computed coronal models for an eclipse during the declining phase of the last solar cycle (November 3, 1994), for three eclipses during solar minimum (October 24, 1995, March 29, 2006, and March 9, 1997), one eclipse during the the early rising phase of solar cycle 23 (February 26, 1998), one eclipse approaching solar maximum (August 11, 1999), and two eclipses near solar maximum (June 21, 2001 and December 4, 2002).

The August 1, 2008 eclipse occurs near solar minimum, so the solar corona ought to (and does) have a simpler structure than at solar maximum.  It can be seen that the solar corona is most similar to that seen in the eclipses near solar minimum on November 3, 1994, October 24, 1995, March 29, 2006, and March 9, 1997.

These figures show the evolution of the radial component (Br) of the solar photospheric magnetic field for three Carrington rotations preceding the eclipse, as measured by the MDI magnetograph aboard the SOHO spacecraft.  We use smoothed versions of these magnetic field maps in our calculations.  We used the data for Carrington rotation (CR) 2071 in our calculation for the preliminary eclipse prediction, posted here; this calculation was started on July 17.  The last panel shows the magnetic field data that was used for the final eclipse prediction.  That calculation was started on July 23, 2008, and was posted on July 27, 2008; it can be found here.  These maps show the radial component of the magnetic field deduced from the measured photospheric field as a function of latitude (vertical axis) and Carrington longitude (horizontal axis).  Red shows outward directed magnetic field, and blue shows inward directed field.  The dark regions near the top and bottom indicate areas near the solar poles where it is not possible to estimate the radial component of the magnetic field due to projection effects.  Click the images for higher resolution pictures.

CR2069 (Apr 16 – May 13, 2008)
br_mdi_cr2069_raw_small.gif

CR2070 (May 13 – Jun 9, 2008)
br_mdi_cr2070_raw_small.gif

CR2071 (Jun 9 – Jul 6, 2008)
br_mdi_cr2071_raw_small.gif

CR2071+CR2072 (Jun 18 – Jul 21, 2008)
br_mdi_cr2071+2072_raw_small.gif


Images and Movies of Coronal Emission in EUV and X-Rays

Our 3D MHD model with improved energy transport allows us to simulate the emission from the corona in extreme ultraviolet and X-ray wavelengths.  The Sun can be observed in these wavelengths from space.  In particular, the SOHO/EIT, TRACE, and STEREO/EUVI, and Hinode/EIS telescopes routinely take EUV images of the solar corona, and the Yohkoh/SXT (no longer operating) and Hinode/XRT telescopes image the soft X-ray Sun.  Our simulated coronal emission is available here.


Movie of Polarization Brightness

We have made movies of the polarization brightness (pB) from our MHD simulation.  This illustrates visually how the solar corona changes as a result of solar rotation.  You can see a movie of pB with a black disk occulting the Sun: a QuickTime version (167 kbytes, recommended), a WMV version (525 kbytes), or a GIF version (1.6 Mbytes).

If your movie player can continuously loop a movie while playing it, set this option to "on" for the best effect. 


Publications

For technical details about our model, please see the publications:

Z. Mikic, J. A. Linker, D. D. Schnack, R. Lionello, and A. Tarditi, "Magnetohydrodynamic Modeling of the Global Solar Corona," Physics of Plasmas, 6, 2217 (1999).   Access Article

Z. Mikic, J. A. Linker, P. Riley, and R. Lionello, "Predicting the Structure of the Solar Corona During the 11 August 1999 Total Solar Eclipse," in The Last Total Solar Eclipse of the Millennium, Proceedings of the Conference held in Istanbul, Turkey, 13-15 August, 1999 (W. Livingston and A. Ozguc, eds.), ASP Conference Series, Vol. 205, p. 162 (2000).   Download PDF

Z. Mikic, J. A. Linker, R. Lionello, P. Riley, and V. Titov, "Predicting the Structure of the Solar Corona for the Total Solar Eclipse of March 29, 2006," in Solar and Stellar Physics Through Eclipses (O. Demircan, S. O. Selam, and B. Albayrak, eds.), ASP Conference Series, Vol. 370, p. 299 (2007).   Access Article


Other web resources for the eclipse


Acknowledgements

Our work is supported by NASA's Heliophysics Theory Program (HTP), Supporting Research & Technology (SR&T) Program, and Living With a Star (LWS) Program, by the Center for Integrated Space Weather Modeling (an NSF Science & Technology Center), and by AFOSR's Space Sciences program.  We thank the staff at the Texas Advanced Computing Center (TACC) for graciously providing us with dedicated time on their massively parallel supercomputer Ranger, where we performed our coronal prediction.  We also thank the San Diego Supercomputer Center (SDSC) for an allocation on their DataStar supercomputer and NASA's Advanced Supercomputing Divison (NAS) for an allocation on the Columbia supercomputer, on which we have developed our code.  We thank Yang Liu and Todd Hoeksema of the Solar Phyiscs Group at Stanford University for providing us with timely access to MDI magnetograph data and for sharing their latest calibrated data with us.


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