Finite-Sized Orbiter’s Motion around the Natural Moons of Planets with Slow-Variable Eccentricity of Their Orbit in ER3BP

Sergey Ershkov (), Dmytro Leshchenko, E. Yu. Prosviryakov and Elbaz I. Abouelmagd
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Sergey Ershkov: Department of Scientific Researches, Plekhanov Russian University of Economics, Scopus Number 60030998, 117997 Moscow, Russia
Dmytro Leshchenko: Department of Theoretical Mechanics, Odessa State Academy of Civil Engineering and Architecture, 65029 Odessa, Ukraine
E. Yu. Prosviryakov: Sector of Nonlinear Vortex Hydrodynamics, Institute of Engineering Science of Ural Branch of the Russian Academy of Sciences, 34 Komsomolskaya St., 620049 Ekaterinburg, Russia
Elbaz I. Abouelmagd: Celestial Mechanics and Space Dynamics Research Group (CMSDRG), Astronomy Department, National Research Institute of Astronomy and Geophysics (NRIAG), Helwan 11421, Cairo, Egypt

Mathematics, 2023, vol. 11, issue 14, 1-17

Abstract: This article is devoted to the study of the stability of movement of a satellite of finite size around the natural satellites of the planets in the solar system, using the new concept of ER3BP with variable eccentricity. This concept was introduced earlier for the variable spin state of a secondary planet correlated implicitly to the motion of the satellite for its trapped orbit near the secondary planet (which is involved in the Kepler duet “Sun-planet”). But it is of real interest to explore another kind of this problem, plane ER3BP “planet-moon-satellite”. Here, we consider two primary celestial bodies, a planet and a moon, the latter revolves around its common barycenter in a quasi-elliptical orbit in a fixed plane (invariable plane) around the planet with a slowly varying eccentricity on a large time scale due to tidal phenomena. This study presents both new theoretical and numerical results for various cases of the “planet-moon-satellite” trio.

Keywords: finite-sized satellite; variable eccentricity of moon; quasi-elliptic orbit; variable spin state of planet; tidal phenomena (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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