I responded to this once but it seems to have been lost in the void of cyber-space so ... here goes again.
This is one of those questions that I grappled with when first doing research but I couldn't get a definitive response, so I went a bit overboard on the adjustability of my pj. Take a look at my PLOG if you are interested...
Being a couple of months wiser, I will outline the absolute minimum, in my opinion, that you should have adjustable in order to get excellent results. Keep in mind that my pj isn't done as yet, so take this for what it's worth.
1) The bulb to collimating fresnel distance must be adjustable to obtain even illumination. This can be accomplished by having an adjustable lamp, or an LCD sled which can be moved.
2) The bulb must be centered with the centers of the fresnels/LCD/and triplet. It helps to have an up/down adjustment for the bulb because sometimes the arc doesn't occur in the exact center of the bulb packet. Moving the bulb up/down a bit can help reduce spillage on the triplet. The left/right (depth) position of the arc is of less importance; as long as the arc packet is centered it should be fine.
3) The collimating fresnel LCD distance can be fixed per spec. The farther the collimating fresnel is from the LCD, the less bright the projection, since brightness drops off with the square of the distance (distance*distance).
4) The field fresnel should have the following adjustments:
Back/Forth from LCD - needed to optimize light cone pattern on triplet and for keystone tilting.
UP/Down - To help the light cone hit spot on the triplet.
Tilt: for keystone correction
5) Reflector should have the following:
Distance from bulb (back/forth)
Up/Down: to center with arc
Reflector should be square to the collimating fresnel.
The more that is tweakable, the better the potential for excellent results, but the greater the complexity/build time. You do reach a point of diminishing returns after implementing the above.
Hope that helps. Good luck.