Very cool vid, Ryan!
I went into immediate nerd mode and estimated their acceleration relative to the station at two milligee (two cm/s²). I then found a link that stated that the actual acceleration was 1.6 milligee ... close enough! ~grin~
I looked up the station's mass, 450 tonnes, and finally figured that the rocket was producing 71000 newtons (about 15900 pounds) of thrust. It fired for about 114 seconds, imparting a delta vee of 1.8 meters per second to the entire structure.
The rocket was most likely the orbital maneuvering unit aboard a Progress module, essentially a stripped Soyuz used as a supply mule. Figuring an Isp (specific impulse, a measure of how efficiently a rocket uses its fuel) of 310 seconds, typical for hypergolics in a vacuum, the Progress consumed about 2.6 tonnes of propellant for this boost.
I wonder if they performed an antipodal circularization burn ...
cn