Nonlinear resonant motion of an asymmetric spacecraft in the atmosphere

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astrodynamics, Nonlinear Equations, Reentry Trajectories, Resonance, Spacecraft Motion, Three Dimensional Motion, Aerodynamic Forces, Angle Of Attack, Center Of Mass, Existence Theorems, Spacecraft Stability

Scientific paper

A nonlinear analysis of the resonant modes of three-dimensional motion of an asymmetric spacecraft during atmospheric descent is presented. The condition for the occurrence of the principal resonance is defined for arbitrary spatial angles of attack, and it is shown that this condition leads to previously defined resonance relations obtained for small angles of attack. Conditions for the existence of stable resonance are established, the behavior of the spacecraft in the resonance region is investigated, and the conditions of spacecraft locking into the resonance mode are derived. It is shown that spacecraft motion in the resonance region can be determined analytically in the case of spacecraft asymmetry due to the deviation of the center of mass from the geometric axis of symmetry.

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