МЕТОД ПРОГНОЗУВАННЯ РУХУ КОСМІЧНИХ АПАРАТІВ НА ОСНОВІ БАГАТОВИМІРНИХ ДИФЕРЕНЦІАЛЬНО- ТЕЙЛОРІВСЬКИХ ПЕРЕТВОРЕНЬ

• Дата: 2025
• Автор: Rakushev, M.Yu.
• Формат: Стаття
• Мова: English
• Опубліковано: V.M. Glushkov Institute of Cybernetics of NAS of Ukraine 2025
• Теми: прогнозування руху; космічний апарат; чисельно-аналітичний метод інтегрування; багатовимірні диференціально-тейлорівські перетворення
• Онлайн доступ: https://jais.net.ua/index.php/files/article/view/644
• Назва журналу: Problems of Control and Informatics

A numerical-analytical method for integrating the differential equation of spacecraft motion, developed on the basis of multidimensional differential-Taylor transformations, is presented. A distinctive feature of the proposed method is the calculation of accelerations in the differential equation of spacecraft motion based on differential-Taylor transformations of different dimensions, namely: accelerations produced by conservative forces (geopotential) based on two-dimensional differential-Taylor transformations, and accelerations produced by non-conservative forces (atmospheric drag, gravity of the Moon and the Sun, centrifugal force, Coriolis force) — based on one-dimensional differential-Taylor transformations. Such an approach reduces the necessary number of analytical calculations when specifying the differential equation of spacecraft motion, which ensures a methodical unification of the process of developing procedures for predicting spacecraft motion. The results of comparing the computational complexity of the proposed method of integration with a well-known method based on one-dimensional differential-Taylor transformations are presented.