Think of making a normal turn, so the aircraft is going in a circle. If everything is coordinated, you can make a circle with radius of R.
If you're in a
slip, it's like you're
skidding out of that circle, so you're making a new circle bigger than R.
skidding is a bad phrase, but it tend to make the most sense for the definition, keep reading and it'll be explained.
If you're in a
skid, it's like you're going down a waterslide and after a quick turn, you're falling into the turn, so you're making a new circle smaller than R.
The rudder is a flight control and can affect how you're applying your inertia. When everything is in balance, you have lower drag, the longitudinal axis is closely aligned with your flightpath. There is little air hitting the fuselage, and most of it steaming by it.
If you're in a
slip, you're pointing the nose out of the turn, giving yourself more drag, and some thrust is helping you come "outside" of your turn.
On the
turn coordinator, the ball comes
inside of the turn, which means you need to step on the ball to bring it back in.
If you're in a
skid, you're pointing the nose into the turn, giving yourself more drag, and some thrust is helping you come "inside" of your turn.
On the
turn coordinator, the ball comes
outside of the turn, which means you need to step on the ball to bring it back in.
To help a little more, think of yourself as wanting to make a perfect turn, your goal is that magic radius of R, with everything coordinated. Now imagine you're in a canyon, so you REALLY need to make this circle perfect. If you "slip" up, you're going to be going "outside" of your turn and be in serious trouble. If you want to stop it, you start to "skid" to a halt and as the speed comes down you make a smaller circle. People have to have better analogies, but I've been out of the seat for a year and I'm writing this quick.
When applied to landings, you can cross control. This means that you'll be using the rudder to yaw one way, and the ailerons to roll another. While not necessarily in balance, once you have some bank opposite of your yaw force you can make the airplane slip into a landing, making the fuselage basically one big spoiler to increase drag.
If you're cross controlled,
slip.
If you're overly coordinated,
skid.
If you're coordinated, well, you're coordinated.
http://www.faa.gov/library/manuals/aircraft/airplane_handbook/media/faa-h-8083-3a-2of7.pdf page 3-9
http://www.faa.gov/library/manuals/aircraft/airplane_handbook/media/faa-h-8083-3a-4of7.pdf page 8-10
Let me know if this helps, I might be able to rewrite this, it's just quick.