Boundegar's right that blurring shouldn't take long at all, as far as I can tell. Waiting for the satellite to be in the correct position to take a new photo can't be hurried. One time I had to commission a satellite photo to be taken for an episode of Will & Grace, the one where Grace marries Leo. We wanted to end the episode with a crane shot of the five actors in Central Park that zoomed up into space a la Powers of Ten, and it turned out it was totally doable. I forget the company we used, but they told us the dates and times they'd be able to do it (I seem to remember the windows of opportunity were something like a week to ten days apart, but at regular predictable intervals), and we adjusted the shooting schedule accordingly. This was around eleven years ago, and we couldn't exactly predict the timing of the picture down to the second (or even the minute, to be honest), but for what it's worth, the satellite shot that the crane shot dissolves to was actually shot within an hour of each other.
I think we paid something like three grand for the shot.