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Dynamic Structure of Near-Earth Orbital Space in the 1 : 2 Resonance Region with the Speed of Earth’s Rotation

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Abstract—

The paper presents the results of a study of the dynamic structure of near-Earth orbital space in the 1 : 2 resonance region with Earth’s rotation speed. The results of an extensive numerical-analytical experiment to study the orbital evolution of objects moving in the semimajor axis range from 26 550 to 26 570 km, with inclinations from 0° to 180°. In this region, the zones of action of the five components of the orbital resonance and aspidal–nodal secular resonances of low orders are revealed. The distribution maps of the revealed resonances are constructed. The dynamic structure of the orbital space was also investigated using the fast Lyapunov characteristic of MEGNO and represented by a MEGNO map of the region in the section by the plane (inclination of the orbit, major axis). It is shown that a feature of the dynamic evolution of most of the studied orbits is randomness arising under the influence of overlapping resonances of various types.

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Notes

  1. The mechanism, effect, Lidov–Kozai resonance (in Russian and Japanese literature), Kozai‒Lidov, or simply Kozai (in European and American literature) are examined in detail in monographs (Shevchenko, 2016; Ito and Ohtsuka, 2019). In the study of satellite motion while taking into account the influence of the Moon, the Sun and the off-centerness of the Earth’s gravitational field, the term “Lidov–Kozai resonance” for resonance \(\dot {\omega } = 0\) was introduced in (Breiter, 2001b).

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Funding

This work was financially supported by the Russian Foundation for Basic Research (project no. 18-32-00735 mol_a “Study of the dynamics of near-Earth space objects under conditions of superposition of various types of resonances.”

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  1. Tomsk State University, Tomsk, Russia

    I. V. Tomilova, D. S. Krasavin & T. V. Bordovitsyna

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  1. I. V. Tomilova
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  2. D. S. Krasavin
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  3. T. V. Bordovitsyna
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Correspondence to I. V. Tomilova, D. S. Krasavin or T. V. Bordovitsyna.

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Tomilova, I.V., Krasavin, D.S. & Bordovitsyna, T.V. Dynamic Structure of Near-Earth Orbital Space in the 1 : 2 Resonance Region with the Speed of Earth’s Rotation. Sol Syst Res 54, 307–317 (2020). https://doi.org/10.1134/S0038094620040085

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