I'd been curious about how the image scale of Pluto would change with time as we get closer to the flyby, so I put together a couple of plots. These assume a constant Pluto-relative velocity of 13.8km/s (good assumption; New Horizon's is going WAY faster than the escape speed) and a closest approach distance of 12472km (current objective if no debris hazard avoidance maneuvers are required).


Currently we're 21 days out and the angular size of Pluto is about 20 arcseconds (comparable to the size of Saturn as seen from Earth!). This will improve to about 10 degrees at closest approach. But given New Horizon's fast speed and Pluto's small size, that good view will only last for a few minutes! And we get a 1° view for about 5 hours.
That's a very short encounter for such a long time waiting. Interplanetary travel is crazy.