Abstract
The Lidov–Kozai theory developed by each of the authors independently in 1961–1962 is based on qualitative methods of studying the evolution of orbits for the satellite version of the restricted three-body problem (Hill’s problem). At present, this theory is in demand in various fields of science: in the field of planetary research within the Solar system, the field of exoplanetary systems, and the field of high-energy physics in interstellar and intergalactic space. This has prompted me to popularize the ideas that underlie the Lidov–Kozai theory based on the experience of using this theory as an efficient tool for solving various problems related to the study of the secular evolution of the orbits of artificial planetary satellites under the influence of external gravitational perturbations with allowance made for the perturbations due to the polar planetary oblateness.
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Original Russian Text © V.I. Prokhorenko, 2018, published in Pis’ma v Astronomicheskii Zhurnal, 2018, Vol. 44, No. 1, pp. 52–70.
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Prokhorenko, V.I. On the Dynamical Foundations of the Lidov–Kozai Theory. Astron. Lett. 44, 49–66 (2018). https://doi.org/10.1134/S1063773717120052
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DOI: https://doi.org/10.1134/S1063773717120052
Keywords
- Solar system dynamics
- restricted three-body problem
- orbital evolution of planetary satellites
- gravitational perturbations
- planetary oblateness
- qualitative studies
- first integrals
- integral curves in phase space
- secular evolution of orbits
- classification of manifolds of initial conditions
- boundaries of predominant influence of perturbing factors