shona
There are only hand full of equation to define the involute. The trochoid is most demanding. Make sure you get true gear geometry that is including both True Involute Gear Profile + True Trochoid Profile. Some programs draws the true involute (that's the easy part), then connects at tangential curve from the involute curve to the center point. It would then just simply add a fillet radius at the root. That is NOT the right way to create the trochoid profile.
In order to create the troichoid profile, it would need to follow the hobbing action. If you don't get that right, you would not get the proper tip clearance. This problem is hugely magnified on pinions with few teeth.
As an active member of AGMA committee, I have spent lot of time studying this on my own. I can create the CAD model for you for a small fee. Please let me know if I could help you.
You can reach me at:
true.involute.gear@gmail.comPlease feel free to visit my site and download a sample of my work at:
http://gearhead22.netau.net/ or
http://true-involute-gear.comxa.com/I have exported the sample part to STEP and Para-Solid (.x_t) formats.