This patch commemorates the thirteenth expeditionary mission to the International Space Station (ISS) which continues the permanent human presence in space. The ISS is depicted in its configuration at the start of the six-month expedition with trailing elements from the country flags representing each of the three crew members.
The crew members made the following statement about their patch: "The dynamic trajectory of the space station against the background of the Earth, Mars, and the Moon symbolizes the vision for human space exploration beyond Earth orbit and the critical role that the ISS plays in the fulfillment of that vision."
http://spaceflight.nasa.gov/gallery/images/station/crew-13/html/iss013-s-001a.html
http://commons.wikimedia.org/w/index.php?title=File:2010_ISS_Calendar.pdf&amp;page=13
NASA/Crew of Expedition 13