There are lot's of ways (variations on a theme) of doing this but the one I use is as follows..
As Neil says – turn your register – and initially try to get a very good fit on the chuck – no movement
Then mount a faceplate true on the cross-slide and bolt your chuck (facing outwards) to it with a bolt (or threaded rod) through the chuck centre. Install your drill chuck in the lathe mandrel, together with a bit that is a close fit into one of the chucks mounting holes. Juggle the chuck around on the angle plate till the drill will just enter one of the chuck's mounting holes. Once the drill enters the hole smoothly (use the saddle movement to test it) tighten up the chuck's through bolt.
Change the 'aligning' drill bit for a centre drill and place the back plate onto the back of the chuck and clamp it (I use a large G clamp). Start the hole with the centre drill and then change it for a 'clearance' bit (e.g. a drill size that is a clearance size for the tapped bolt hole you just lined up with). Carefully drill into the back plate till you are almost through it. Unclamp the back plate and finish drilling through it in the drill press. I will admit that I didn't last time around – I did it all in the lathe but was very careful not to drill into the tapped hole
Then it's easy. Rotate the back plate – use the new hole to bolt the back plate to the chuck and centre/clearance drill the second hole – BEING VERY CAREFUL NOT TO DISTURB THE CHUCK. Unbolt the first hole, rotate the back plate again, bolt 1 & 2 holes up – and drill the third hole.
Now you can just leave it like this and it should be good.
However, I like to mount the back plate onto the lathe and take just a 'smidgen' off the register – enough to allow a slight adjustment. I then bolt the chuck on (but lightly) and test it with some 12mm silver steel gripped in the jaws – just tapping it true against a DTI. Then I tighten the back plate bolts fully and test again. Obviously a 3J may not be true on other material sizes but I know that it should be fairly good in at least that one spot.
Hope this all makes sense. It's easier to do than explain.
You will need a fairly large angle plate to do it like this but they are very useful items to have on the lathe anyway…
Regards,
IanT