Analytical investigation of the stabilization process during ballistic descent

Details Analytical investigation of the stabilization process during ballistic descent Analytical investigation of the stabilization process during ballistic descent

May 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976kosis..14..348p&link_type=abstract

Kosmicheskie Issledovaniia, vol. 14, May-June 1976, p. 348-353. In Russian.

Mathematics

Adaptive Control, Ballistic Trajectories, Descent Trajectories, Motion Stability, Trajectory Optimization, Transient Response, Asymptotic Series, Computer Techniques, Differential Equations, Exponential Functions, Hypergeometric Functions, Series (Mathematics)

Scientific paper

The paper considers transient processes undergone by a ballistically descending spacecraft in the case of autonomous control of pitch, yaw and roll and a linear control law with respect to deviation and its derivative. The differential equations of the transient process are transformed to an inhomogeneous Whittaker equation. Cases are examined which are suitable for analytic treatment and their accuracy is assessed. This allows one to reduce the selection of the parameters of the stabilizing automaton to a system of inequalities, corresponding to stability requirements and quality criteria of the transient process.

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