There are oh so many ways to find oh so many extrasolar planets out there. The Nerd Next Door attempts to explain one of the most badass ways: The radial velocity method.
NOTE: For a more accurate representation of the Doppler Shift, check out: http://f.tqn.com/y/space/1/W/J/_/1/doppershifting.jpg
The lines should be moving, not the entire spectrum.
Links:
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Links to media used:
Jupiter compared to Sun
http://spaceweather.com/comets/holmes/07nov07/Kurt-Allen-Fisher1.jpg
Redshift/Blueshift
http://www.psychedelicporcupine.co.uk/wp-content/uploads/800px-redshift_blueshift-svg.png
Wobbling star (sideview)
http://upload.wikimedia.org/wikipedia/commons/6/65/Dopspec-inline.gif
Picture of Eris and Dysnomia
http://upload.wikimedia.org/wikipedia/commons/5/5b/Eris_and_dysnomia2.jpg
Sedna Photo
http://atomictoasters.com/wp-content/gallery/trans-neptunian-objects/sedna_prc2004-14d.jpg
Radial Velocity Method Pic
http://upload.wikimedia.org/wikipedia/commons/3/33/ESO_-_The_Radial_Velocity_Method_%28by%29.jpg
Spectrograph
http://media4.obspm.fr/exoplanetes/pages_exopl-methodes/images/images/spectro.gif
Exoplanet Artist
http://th00.deviantart.net/fs17/200H/f/2007/216/3/f/Extrasolar_Planet_237_by_Netherwulf.jpg
Orbit gif
http://upload.wikimedia.org/wikipedia/commons/thumb/5/59/Orbit3.gif/160px-Orbit3.gif
LCOGT Pic of Radial Velocity Method
http://lcogt.net/files/styles/fourcol-image/public/spacebook/Radial%20Velocity%20Method%20star%20orbits_3.png