Trajectory Equations for a Six-Degree-of-Freedom Missile Using a Fixed-Plane Coordinate System

摘要

This report derives from elementary principles the general equations of motion for a missile utilizing a fixed-plane coordinate system, i.e., a coordinate system with one axis constrained to lie in a given plane. Included in the derivation are explicit expressions for introducing wind and an alternate set of equations to be used when singularity conditions are approached. Means are provided for automatically converting to the alternate set of equations so that uninterrupted trajectory simulation can proceed under all conditions. A complete discussion of initial conditions is included. The general equations can be used for flat or spherical, rotating, or nonrotating earth cases. (Author)