OK, this thread has been dormant for over 4 months so maybe I'm in line for some kind of "Thread Necromancer" award.
I recently hacked one of those Orbit p/n62035 solenoid valves in conjunction with a small consulting project. The details are in my notes (back at the office tonight) but I have verified (by measurement) some of the speculation in this thread.
1. The valve's water flow is unidirectional. The water outlet can NOT be effectively exchanged with the water inlet. Also, the valve's elastic diaphragm apparently uses the supply pressure to provide some kind of "servo action". Consequently, determining the "open" or "closed" status of the valve by using your mouth to blow through the thing may only give you a headache and some inconclusive results. It needs some supply-side water pressure before you can actually observe results!
2. The valve actually has TWO solenoid coils. One is pulsed to open the valve; the other is pulsed to close the valve. (I don't recall which is wired to the tip of the phone plug and which goes to the ring. A quick experiment with a pair of 9V batteries can answer this question.) However, I was able to CLOSE the valve by applying a reverse-polarity pulse to the OPEN coil and vice versa. I don't know if this is an intended mode of operation, or if it could eventually damage the valve, etc.
3. The two coils have very different electrical characteristics. The "Valve OPEN" coil has about 4 ohms of DC resistance and a few dozen millihenries of inductance. The "Valve CLOSE" coil has only about 1 ohm of DC resistance and a few millihenries of inductance.
4. The Timer/Controller box operates the valves by charging a 2200 uF capacitor up to about 17 volts, then discharging it through the selected solenoid coil for 20 mSec.
5. The 17V is created by some kind of switching supply shortly before being discharged through the solenoid. You can see the saw-tooth ramp on the 17V rail.
6. When the Timer/Controller turns a valve OFF, it first operates the "Valve ON" coil, then recharges the capacitor and operates the "Valve OFF" coil. This all happens in about 100 mSec, so an end-user wouldn't be aware of the multiple pulsing. I don't know why the "OFF" sequence is done like this. I could speculate that the diaphragm might take a "set" while the valve is OPEN ("ON"), and the initial "Valve ON" pulse is intended to dislodge the "set" and ensure a good seal when the "Valve OFF" pulse is executed.