Re-entry Ballistics

The main difficulties encountered in the study of a free body in the atmosphere are related to the study of motion relative to the center of mass, which is described by a system of nonlinear differential equations with variable coefficients. When a body enters the atmosphere with cosmic velocities, it is characterized by a high frequency of its oscillations relative to the center of mass with a small change in the motion parameters of the center of mass during each oscillation period. This creates prerequisites for finding approximate solutions using asymptotic methods.