Photogravitational perturbations in the infinitesimal orbits around the libration points in the oblate RTBP

DOI10.3934/MBE.2019411zbMath1493.70084OpenAlexW2972897174WikidataQ91168130 ScholiaQ91168130MaRDI QIDQ2045587

F. A. Abd El-Salam, S. E. Abd El-Bar

Publication date: 13 August 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2019411

zbMATH Keywords

libration pointsRTBPinfinitesimal orbitsLie operatoroblateness perturbationsphotogravitational perturbations

Mathematics Subject Classification ID

Orbital mechanics (70M20) Equations of motion in general relativity and gravitational theory (83C10)

Cites Work

• Infinitesimal orbits around the libration points in the elliptic restricted three body problem
• Periodic orbits of a collinear restricted three-body problem
• The effect of eccentricity and inclination on the motion near the Lagrangian points \(L_4\) and \(L_5\)
• On the stability of equilibrium points in the relativistic restricted three-body problem
• Infinitesimal orbits around Lagrange points in the elliptic restricted three-body problem
• Optimal nonlinear feedback control of spacecraft rendezvous with finite low thrust between libration orbits
• Integration of the elliptic restricted three-body problem with Lie series
• Application of Lie-series to regularized problems in celestial mechanics
• Analytic construction of periodic orbits about the collinear points

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