Spacecraft and Orbits
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In a nutshell, orbital mechanics comprises the science/mathematics used to predict ("propagate") how a body (a spacecraft or a planet) moves relative to another body/bodies (a planet or a sun).

News

bulletSpace.com
bulletSpacecraftFlight Now 
bulletLaunch Space Launch Space magazine
bulletAeroExpo.com

Orbital Mechanics Overview, Pictures, Educational Material

bullethttp://AAE.www.ecn.purdue.edu/AAE/ Purdue's Aeronautical and Astronautical Engineering school

Astronomy

bulletBad Astronomy debunks movies, TV and other media sources that "propagate" (nerd pun) misconceptions about astronomy. 
bulletBad Astronomy Links has many excellent links
bulletHeavens-Above helps you locate satellites, planets or stars based on where you are located.  Now if I could only find a site that would tell me where I am
bulletThe Nine Planets An introduction to our solar system 

NASA 

bulletNASA-JPL  Disneyland for orbitologists, ellipticians and other space nerds
bulletNASA-Tech Info Starting place for searching NASA for technical information

S/C Ephemeris (Orbits)

bulletNORAD NORAD knows where the spacecraft goes
bullethttp://leonardo.jpl.nasa.gov/msl/search/ephemeris.html JPL's ephemeris locator
bullethttp://ssd.jpl.nasa.gov/eph_help.html JPL's ephemeris generator program instructions

Software

bulletSTK STK is a nice software package that I use at work for various things.  You can even request a free version that has limited, but useful, capabilities.  Wish I had it at school ;)
bulletCelestrak
bulletEmbry-Riddle Aeronautical University - Software Links, et al...
bulletMaxima - NotS/C or orbit related software, but a free symbolic software package
bulletSCILAB - Matlab like product 
 
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Updated: 01/21/06