Optimization of the Lyapunov function weight coefficients in the problem of designing inter-orbital near-Earth flights
Abstract:
The problem of constructing near-Earth trajectories based on Lyapunov's direct method with a Lyapunov function depending on 15 numerical parameters is considered. Asymptotic stability of the constructed orbit is proved for the case when the spacecraft moves without thrust cutoff, and the parameter values optimal with respect to the fuel cost functional are determined.