If you're really bored you can run calculations on deceleration vs mass per surface area. From memory there are (admittedly extremely low) orbits where a rail-car shippable steel construction I-beam, actively pointed end-on, will orbit for months but a hot air balloon would deorbit in less than one full orbit.
There's a free windows only game called Orbiter under continuous (ish) development since early 2000s. Its informative about the weird truths of orbital dynamics. Several years ago I went thru a phase of flying between Jupiters moons for fun.
There's probably a startup idea in creating what amounts to a E6B for orbital mechanics. The problem is making it elegant and easy to use. Anybody can open matlab/octave/mathematica/whatever and say "just enter a bunch of equations". I'm not sure the MFDs in orbiter are the wave of the future either. And its easy to get sucked into the trap of making it too simple for the .edu market such that it can't actually simulate anything. Its a hard problem. Maybe more for a PHD project because I'm mystified how to monetize.
Yes; even governments shouldn't pollute orbits. One such example:
http://en.wikipedia.org/wiki/2007_Chinese_anti-satellite_mis...
There were numerous reports of visual phenomenon consistent with the vehicle simply venting its fuel. The resulting gas cloud from such an event often results in inaccuracies in tracking.
Not sure I explained it clearly, and it might be a wrong assumption, so feel free to enlighten me.
I think the particularly "unintuitive" parts of this are, one, the incredible distances travelled when you sustain Mach 20 for years (10^8 km/year); and two, the quadratic scaling (10^4*10^4).
http://en.wikipedia.org/wiki/2009_satellite_collision
I'm nowhere near talented enough to talk in terms of "odds" with respect to satellite collisions, but it's worth noting that certain orbit geometries are going to naturally see a lot more density because several satellites want to be in a somewhat similar orbit for various reasons.
(http://orbitaldebris.jsc.nasa.gov/)
Site might not be available because US politics is batshit insane.
The photo gallery has some images of debris impacts. These micro impacts seem to be really common. The amount of debris is pretty large.
> More than 21,000 orbital debris larger than 10 cm are known to exist. The estimated population of particles between 1 and 10 cm in diameter is approximately 500,000. The number of particles smaller than 1 cm exceeds 100 million.
The surface area of Earth is about 510 million square kilometers.