Optimal launching of an earth satellite using aerodynamic forces

Computer Science

Scientific paper

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Aerodynamic Forces, Ascent Trajectories, Pontryagin Principle, Spacecraft Launching, Boundary Value Problems, Computer Techniques, Equations Of Motion, Gravitational Fields

Scientific paper

This paper examines the problem of optimizing trajectories for injecting a satellite into an earth orbit by means of aerodynamic forces. A fast-convergence simulation procedure of optimization is developed on the basis of the Pontriagin's maximum principle (Pontriagin et al., 1969), which includes a solution of two-point boundary-value problem by a modified Newton's method with an automatic choice of an adequate initial solution estimate. Conditions for qualitative changes (including bifurcations) in optimal launch conditions and orbital injection trajectories are investigated.

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