Notes :
Ballistic Coefficient Note
The BC values given are good averages at 'Normal Temperature and Pressure' and at sub-sonic velocities. The value can vary between different barrels (up to +/- 10%), in the same batch (up to +/- 5%) or with environmental conditions. BC increases by about 3% per 1000 Feet, and by about 0.3% per C° (around 0.2% per F°). Depending on the pellet design, the BC may also vary slightly with velocity.
Calculating Ballistic Coefficient:
Ballistic Coefficient is derived from the observed velocities at two ranges.
BC = (R1 - R0) / (Loge(V0 / V1) * 8000)
where: BC = Ballistic Coefficient R0 = Nearest Range (Yard) R1 = Furthest Range (Yard) V0 = Velocity at R0 (Ft/s) V1 = Velocity at R1 (Ft/s)
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Pellet Weight Note
Pellet weights can vary by up to +/- 4% in the same batch for quality pellets; perhaps a little more for cheaper/nastier ones.
Calculating Kinetic Energy:
E = M * V2 / 450240
where : E = Kinetic Energy (Ft-Lbf) M = Pellet Weight (Grain) V = Velocity (Ft/s) (Back to the Pellet List)
Velocity Coefficient Note
The Velocity Coefficient (VC) column was added on 10th February 2008 as an alternative to Ballistic Coefficient. VC is simply an alternative measure of ability of the pellet to overcome drag (i.e., aerodynamic efficiency) and represents the deterioration in velocity (Ft/s) for each Yard traveled.
i.e.,
VC = 1 / Exp(1 / (8000 * BC))
where:
VC = Velocity Coefficient and BC = Ballistic Coefficient
For example: 0.22 JSB Exact: BC~0.031 so VC = 1 / Exp(1 / (8000 * 0.031)) = 0.99598 If MV = 800 Ft/s then V1 = velocity @ 10 Yards = 800 * (0.99598)10 = 768 Ft/s
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Wind-Drift Note
Simply . . . D = W * sin(A) * (T - (R/MV)) Where : D = Wind Deflection (Feet) W = Wind Velocity (Feet/second) A = Angle between Wind Velocity vector and the trajectory T = Actual transit time between muzzle and target (second) MV = Muzzle Velocity (Feet/second) R = Distance between muzzle and target (Feet) Note that the term R/MV is the transit time (between muzzle and target) in a vacuum and that, for a wind vector at 90 degrees to the trajectory (the worst case), sin(90 degrees) = 1 We also know that: T = 24000 * BC * (Exp(R / (24000 * BC)) - 1) / MV Where: T = Actual transit time between muzzle and target (second) MV = Muzzle Velocity (Feet/second) R = Distance between muzzle and target (Feet) BC = Ballistic Coefficient So, it is clear that the wind-drift (D) at any particular values of A, MV and W depends only on the Ballistic Coefficient of the projectile. (Back to the Pellet List)
Velocity Retention Factor Note
The Velocity Retention Factor (VRF) is yet another (somewhat arbitrary) measure of aerodynamic efficiency used by some ballistic modeling software. VRF is similar to VC but without the implicit accuracy. It is defined as the ratio of the velocity at 10 Yards and the Muzzle velocity. i.e.,
VRF = V1 / MV
where:
VRF = Velocity Retention Factor MV = Muzzle Velocity and V1 = Velocity measured at 10 Yards from Muzzle
In terms of the (more useful) VRC value:
VRF = (VRC)10
Why 10 Yards? I've no idea. It's certainly not a great choice - much too short given the accuracy and repeatability of commercially available chronographs ... but what do I know? VRF data does not have the same general applicability or utility as BC or VRC and is included here only for the sake of completeness and for software that specifically requires it.
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