Fire Control System — Ballistic Physics & Derivations

Proof-of-Concept Technical Reference Notes | Author: Akshat Dimri

1. Elevation Angle Formulation (\(\alpha_\sigma\))

The total elevation angle \(\alpha_\sigma\) in arcminutes incorporates the non-linear base drop curve \(\alpha_0(D_y)\), environmental perturbation scaling factor \(S_{fp,a}\), sight elevation cant \(\gamma\), barrel pitch angular rate \(\omega_{BH}\), crosswind drift term, and boresight azimuth coupling:

2. Azimuth Deflection Formulation (\(\beta_\sigma\))

The total azimuth correction angle \(\beta_\sigma\) accounts for sight tilt elevation cross-product, turret traverse motion rate \(\omega_{TH}\), crosswind factor \(K_W\), and empirical low-range calibration bias \(\lambda_b\):

Fire Control System — Ballistic Physics & Derivations

1. Elevation Angle Formulation (\(\alpha_\sigma\))

2. Azimuth Deflection Formulation (\(\beta_\sigma\))

3. 2-Pass Range Iteration (\(D_y\)) & Environmental Scaling (\(S_{fp}\))