NASA TV will provide live coverage of the spacecraft's arrival and docking at the ISS, and you can watch it live here starting at 9 p.m. EDT (0100 GMT). At 9:31 p.m. ET, the spacecraft was ready to dock at the space station.
This was the first Russian cargo mission to demonstrate an "expedited capability" that will likely be used again in future, NASA said in a statement. Progress 70 will stay linked to the space station until January 2019, when it will be discarded, NASA officials said.
The National Aeronautics and Space Administration is an independent agency of the executive branch of the United States federal government responsible for the civilian space program, as well as aeronautics and aerospace research.
Russia's Progress cargo ships have been keeping the space station stocked with supplies since 2000, when the first crew took up residence on the orbiting lab.
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The previous record was 5 hours 39 minutes, according to the Russian news agency RIA Novosti.
The goal is to shorten the time it takes a crew to reach the station inside a cramped Soyuz ferry ship, a trip that traditionally took two days, or 34 orbits. "Third time was the charm".
The shorter flight time of the Progress MS-09, carried on a Soyuz 2.1 rocket, was made possible by a new navigation system. Another Progress cargo-delivery mission, Progress 71, is scheduled to launch in late October.