Rotational motion of a ballistic axisymmetric vehicle executing descent through an atmosphere

Physics

Scientific paper

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Ballistic Vehicles, Descent Trajectories, Rotating Bodies, Soft Landing, Spacecraft Reentry, Aerodynamic Heating, Angle Of Attack, Equations Of Motion, Trajectory Optimization

Scientific paper

Three-dimensional uncontrolled motion of a spacecraft with a shape spherical about its center of mass, in descent through an atmosphere, is investigated. Van der Pol type averaged differential equations of rotational motion are derived and their general solution is sought in implicit form for any angles of attack. The set of spacecraft parameters and initial conditions at which the angle of attack on the trajectory will remain within a prespecified limit is determined. The limiting angle of attack is arrived at while taking into cognizance shielding of the craft against aerodynamic heating and normal functioning of the soft landing drogue system.

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