Not sure if this answers your question exactly, but...
I have had good bottle conditioning results by letting the yeast consume the right amount of sugar to produce the carbonation that you want. This can easily be tracked by monitoring the change in SG using your hydrometer.
Jolicoeur's Table 15.3 gives the following SG change information. For 1 volume of CO2 (spritzig type perlant carbonation) you need a SG drop of 0.001, for 1.5-2.5 volumes of CO2 ("normal" perlant type carbonation) you need a SG drop of 0.002-0.004, and for 3.5+ volumes of CO2 (sparkling, champagne type carbonation) you need a SG drop of 0.006+.
For "normal" carbonation, I either bottle at something like 0.002 (assuming the cider will finish at 0.000, but be aware that this isn't always the case), or let the fermentation go down to wherever it finishes (hopefully 0.000)) then add back sugar, or AJC or more juice or any other fermentable sweetener to bring it back up by 0.002 or so (or more if you want more fizz), then bottle.
This approach also works for stovetop pasteurisation if you want a sweeter sparkling cider.
Anyhow, it works for me without needing any complex calculations, just your hydrometer. Good luck.