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Abstract— <p>In this paper, the authors summarize eight years of experience in the development and application of a numerical-analytical method for studying resonant structures in near-Earth and near-lunar space. The dynamics of near-Earth objects are considered in the following: orbital (tesseral) resonances of the second to tenth orders, secular apsidal-nodal resonances of the second to sixth orders, semisecular resonances with the average motion of the third body of the second to fifth orders, as well as secondary resonances arising under the influence of light pressure. In the dynamics of lunar objects, manifestations of secular and semisecular resonances are considered, and an analysis of the dynamics of low-flying objects is given.</p>

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Numerical and Analytical Approach to the Study of Resonant Structures of Near-Planetary Orbital Spaces

  • 期刊论文

  • 发表日期：

    2025年5月14日

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  • I. V. Tomilova,
  • T. V. Bordovitsyna,
  • A. G. Aleksandrova,
  • E. V. Blinkova,
  • N. A. Popandopulo,
  • T. V. Shaforostov

摘要

Abstract—

In this paper, the authors summarize eight years of experience in the development and application of a numerical-analytical method for studying resonant structures in near-Earth and near-lunar space. The dynamics of near-Earth objects are considered in the following: orbital (tesseral) resonances of the second to tenth orders, secular apsidal-nodal resonances of the second to sixth orders, semisecular resonances with the average motion of the third body of the second to fifth orders, as well as secondary resonances arising under the influence of light pressure. In the dynamics of lunar objects, manifestations of secular and semisecular resonances are considered, and an analysis of the dynamics of low-flying objects is given.