Yes, there is a Blue Line 'L' station next to the domestic terminals.
Simply follow the overhead signs that say "Train to City." They will lead you to a tunnel that runs one level below the baggage claim area. The station is in the middle of the tunnel.
If you are arriving at the International Terminal (Terminal 5), take the Airport Transit System to any domestic terminal (Terminals 1, 2, 3) and follow the signs from there.
To reach downtown, get off the Blue Line at Clark/Lake, Washington, Monroe, or Jackson depending on where exactly you are going.
The heart of downtown Chicago is known as the "Loop" because the elevated train tracks (the 'L') form a loop there. The Chicago Transit Authority's official name for its train system is The 'L' (with single quotation marks. It is not the "el" as in New York City.
If it *must* be public transportation then the only way I know would be to take the L train to downtown Chicago (Union Station) and then catch the Metra Rail Line to Aurora which is very close to Batavia. (http://www.metrarail.com/Sched/bn/bn.shtml#MAP)
Visitors to Chicago have many hotel options. Downtown Chicago features several luxury hotels, some with a view of the skyline or Lake Michigan. Outside downtown, one can find motels, hostels and mid-range hotels. Despite being outside downtown, many of these hotels are near buses or the train (called the "L"), so travelers can save money and commute back to Downtown.
Zona 22 - 2006 Downtown L-A- was released on: USA: 30 November 2006
The Metra UP North Line runs between Chicago and Evanston. The Chicago Transit Authority (CTA) Purple Line "L" train runs between Chicago and Evanston during rush hours. During other hours, it runs from Evanston to the the Chicago/Evanston border (Howard Street) where you can change trains (on the same platform, no extra charge) to the CTA Red Line "L" train which goes downtown and to the South Side.
The Chicago Transit Authority (CTA) officially calls its train system the 'L' (with single quotation marks). This applies both to the subway and elevated systems. Note that unlike New York City, it is not the "El." The set of elevated train tracks that operate in a circle downtown is called the Loop. The section of downtown inside the train tracks is also called the Loop and sometimes people improperly refer to the entire downtown area as "the loop."
Second Thursdays The Downtown L-A- Art Walk - 2009 was released on: USA: April 2009 (Los Angeles, California)
Yo Momma - 2006 Downtown L-A vs- Hollywood 1-2 was released on: USA: 4 April 2006
Downtown Comedy Fest - 2009 V is rated/received certificates of: South Africa:16LV South Africa:A (L)
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Chicago mechanical engineer Whitcomb L. Judson invented the zipper in 1891.1844
R. L. Williams has written: 'The Chicago and North Western Railway' -- subject(s): Chicago and North Western Railway Co