Most of the work is done by a dedicated IC. One I found from a web search, and the other I found by taking apart a servo (that I ruined with too high of a supply voltage).
Interconnections to pc board.
Darren Sawicz discusses servo operation further here, including all of the common 3-wire color codes and a way to make your own servo.
* Servo position for pulse widths: 1ms LEFT 1.5ms MIDDLE 2ms RIGHT
Total time must be roughly 40ms. (10 is too low and 70 is too high.)