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09-08-2021 | Original | Issue 11/2021

Archive of Applied Mechanics 11/2021

A novel type of ER3BP introduced for hierarchical configuration with variable angular momentum of secondary planet

Journal:
Archive of Applied Mechanics > Issue 11/2021
Authors:
Sergey Ershkov, Elbaz I. Abouelmagd, Alla Rachinskaya
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Abstract

In this work, we aim to introduce and investigate a novel type of ER3BP with variable angular momentum of secondary planet correlated with the motion of test particle in the pulsating synodic frame, which will maintain its orbit located in the proximity of secondary body. Indeed, tidal phenomena govern the dynamics of slow change of the eccentricity of the secondary planet orbit related to the fact that they have been changing its rotational angular momentum during a long-time period of secondary planet’s motion around the primary on quasi-stable elliptic orbit. Both novel theoretical and numerical findings are presented as well.

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