IMO, you should adjust the BC in gun management to get the predicted solutions in the Kestrel to match AS CLOSE AS POSSIBLE to your DOPE before tweaking the MV.
Think of the BC truing as macro adjustments and then the MV adjustments as subtle "tweaks". If you have to make exaggerated adjustments of the MV (from a calibrated source, like a chrono) then you should start over. To date, I have never shot over a chrono and have had pretty good success with using MV data from the box and extrapolating my rifle's MV from resources like the
barrel length v. muzzle velocity data at rifleshooter.com.
It's a lot of back and forth in the menus and takes a bit of navigating the Kestrel, but it is worth the effort. Use the range card function in the Kestrel to help see the moves in the predicted flight path at multiple locations with each BC adjustment you make.
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Step 1 - (at the range) Fire the weapon at multiple distances (on a truing bar, water marked steel or paper). Record all relevant shot data. Record the environmental data. One should go to the range with a printed range card and not be concerned with firing solutions being provided by your Kestrel at this time.
Step 2 - (at home) Setup the gun in the Kestrel. Use MV from a chrono (preferred) or "from the box". Use BC from manufacturer's website or "from the box".
Step 3 - (at home) Adjust BC in gun management to get the predicted curve to match up with your known DOPE. Make sure that your environmentals are "locked" to those experienced while recording DOPE.
Step 4 - (at home) Use MV adjustments sparingly to tweak final numbers.
Step 5 - (at the range) Confirm the new predicted firing solutions at the range. Your environment will likely be different and the work you have put into the Kestrel will keep up with these changes. Record all relevant shot data.
If necessary, repeat Steps 3-5. The goal is to
get the Kestrel's predicted path to match your real world data.
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