GRACE mission which was launched on March 17th, 2002 had a 10 minutes launch window. The mission was to launch a couple of earth observation satellites.
And interestingly, NASA's GRACE Launch Press Kit, March 2002 mentions that the launch window keeps moving earlier by 2mins 12s on every subsequent day.
On March 16, 2002, the 10 minute launch window opens at 12:23 p.m. local time in Plesetsk (4:23 a.m. EST). If launch does not take place on March 16, the window on subsequent days falls earlier by 2 minutes, 12 seconds each day
Given satellites were launched from earth to observe earth, why would it require such a narrow launch window per day?