"Collisions, they inevitably lead to, dust ejecta to fragments."-Abedin Yussein Abedin

Kuiper Belt Objects (KBO’s) are among the most intriguing objects out there, largely because they are hard to see and get to. Only the New Horizons mission has truly tried. There are a great many KBO’s, but they are so small and so spread apart that they rarely contact each other. None-the-less they do collide, and this lecture is modeling what to expect during such events.

• Slide at 7:00, she has a X-Y scatter plot comparing space in terms of AU (so big as heck) to eccentricity of orbit. Eccentricity effects the odds of an impactor finding a target because objects in the same plane are likely going about the same speed and also might find a resonance between them. KBO’s that approach Neptune are more likely to change orbit than those that stay away, and most KBO's are close enough to be effected. So which force is greater; proximity to Neptune, or eccentricity?
• At 10:00 she shows a frank equation to calculate collisions between KBO’s. One might think it would be harder than that. 
• Slide at 12:00, turns out the equation is incomplete, so yeah.
• At 15:20 she compares probability to speed, hence, likelihood of a big one. However, also a small one. Keep in mind the KBO’s will merge at certain velocities or destroy each other. Her graphs can be used for either. 

Most collisions happen in the main KBO belt, about 30 AU outside of Netune’s orbit. When they happen they are usually low impact, and likely to merge most of the mass of the two KBO’s. One could infer the results of the collision if you could see dust in the vicinity, but that has been difficult. More dust would mean a more destructive collision, the area where the dust is found could give clues to time and angle.