Determination of the amplitude of the spatial fluctuations of a ballistic vehicle of small asymmetry during atmospheric reentry

Computer Science

Scientific paper

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Atmospheric Entry, Ballistic Vehicles, Motion Stability, Rotating Bodies, Spacecraft Reentry, Amplitudes, Angle Of Attack, Angular Velocity, Center Of Mass, Equations Of Motion, Numerical Integration, Reentry Trajectories, Spacecraft Control

Scientific paper

The analysis deals with the three-dimensional uncontrolled motions about the center of mass of a reentry vehicle characterized by a small dynamic and geometric asymmetry. The equations of motion about the center of mass are reduced to a form convenient for solution by the averaging method. Approximate analytical solution of three-dimensional unperturbed motion is obtained. Averaged equations of perturbed motion are derived which provide substantial time savings as compared with numerical integration of the complete equations of motion, without recourse to constraints on the solid angle of attack and the initial angular velocity.

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