Comprehensive evaluation of analytical and numerical models of the Solar System planets ephemerides on the example of the near-Earth spacecraft

Article

Published: 23.08.2023

Published in issue: #8(140)/2023

DOI: 10.18698/2308-6033-2023-8-2300

Category: Aviation and Rocket-Space Engineering | Chapter: Aircraft Dynamics, Ballistics, Motion Control

The paper presents a developed algorithm for using the high-precision numerical ephemerid models. Qualitative and quantitative comparison of analytical and numerical high-precision planetary ephemerid models was carried out, including NASA averaged elements model, Newcomb model, Mees model, DE/LE series models and EPM series models. Absolute values of the radius vector residuals for each planet of the Solar System were obtained within the framework of the considered ephemerid models. Integration methods were evaluated, including Runge—Kutta method of the 4th order, Adams method of the 16th order and Dorman-Prince method of the 5(4)th order. Results of evaluating accuracy and efficiency of calculations depending on the integration stage were obtained. Values of perturbing accelerations from the Sun, Moon and planets for a GLONASS-type spacecraft were calculated. Practical recommendations are provided for using analytical and numerical planetary ephemerides in simulation of the near-Earth spacecraft motion.

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