Inter-orbital spacecraft transfer optimization: choosing initial approximations based on correlation analysis of key parameters

This paper presents a new approach to choosing initial approximations in inter-orbital transfer optimization problems for a spacecraft with a chemical booster and fixed thrust. The approach involves correlations between the values of key problem parameters. It is implemented using numerical methods, mathematical modeling, and programming. Relevant publications on the subject area (methods for finding initial approximations in optimization problems) are systematically studied and several mathematical relationships are identified. As a result, laws are specified to facilitate the choice of initial approximations in order to ensure convergence and achieve the optimum. The results of a computational experiment confirm the applicability and effectiveness of this approach in typical optimization problems (an optimal spacecraft trajectory design between near-Earth orbits as one example).