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This is the collection of websites from which I gathered data to do the calculations,

Take off speed, typical weight:  http://www.globalsecurity.org/military/systems/aircraft/c-130j-specs.htm

Friction Co-efficient: http://physics.info/friction/
I use the value for waxed wood and snow instead of the one for steel on ice. I chose this value instead because the surface of the ski-way was not quite that of ice, it was more like packed snow. It is also worth noting that the skis on the plane are waxed for performance, which should make the friction force fairly close to that of waxed wood.

JP-8 Properties: http://hypertextbook.com/facts/2003/EvelynGofman.shtml

Information about the runway surface and take off distance based on my firsthand observations. All photos were taken by me