Repository for deep-dive technical explanations, mathematical derivations, worked flight school calculations, and regulatory frameworks.
An engineering breakdown of thermodynamic air density: ICAO Doc 7488 hydrostatic modeling, the 120-ft rule-of-thumb derivation, and aircraft takeoff roll multipliers.
Navigational vector mechanics: Law of Sines wind correction angle proof, Clock Code crosswind approximations, and aerodynamic crab vs sideslip dynamics.
Vertical navigation physics: Euclidean slope derivations, exact 3° geometry (318.4 ft/NM) vs the cockpit 3:1 rule, GS × 5.307 descent rates, and total energy trades.
Mass distribution physics: First-order moment statics, datum invariance proofs, % MAC transformations, longitudinal static stability margins, and dynamic fuel-burn CG migration vectors.
Guides published in this section will provide comprehensive educational explanations of the physics, geometry, and regulations implemented in our calculation engines: