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(1996)
Numerical calculation of Lyapunov Exponents
C. Blaga (2015)
Stability in sense of Lyapunov of circular orbits in Manev potentialarXiv: General Relativity and Quantum Cosmology
S. Kirk, I. Haranas, I. Gkigkitzis (2012)
Satellite motion in a Manev potential with dragAstrophysics and Space Science, 344
J. Singh, A. Vincent (2015)
Effect of Perturbations in the Coriolis and Centrifugal Forces on the Stability of Equilibrium Points in the Restricted Four-Body ProblemFew-Body Systems, 56
F. Diacu (1996)
Near-Collision Dynamics for Particle Systems with Quasihomogeneous PotentialsJournal of Differential Equations, 128
A. Vincent, Joel Taura, Solomon Omale (2019)
Existence and stability of equilibrium points in the photogravitational restricted four-body problem with Stokes drag effectAstrophysics and Space Science, 364
K. Popoff (1925)
Die Gravitation und das Prinzip von Wirkung und GegenwirkungZeitschrift für Physik, 32
G Maneff (1930)
La gravitation etl’energie au zeroC R Acad Sci Paris, 190
G. Maneff
Die Masse der Feldenergie und die GravitationAstronomische Nachrichten, 236
(1924)
La gravitation et le principe de l’egalie de l’action et de la reaction
J. Singh, Solomon Omale (2019)
Combined effect of Stokes drag, oblateness and radiation pressure on the existence and stability of equilibrium points in the restricted four-body problemAstrophysics and Space Science, 364
R. Ivanov, E. Prodanov (2005)
Manev Potential and General Relativity
F. Dubeibe, L. Bermudez-Almanza (2013)
Optimal conditions for the numerical calculation of the largest Lyapunov exponent for systems of ordinary differential equationsInternational Journal of Modern Physics C, 25
Elbaz Abouelmagd, H. Asiri, M. Sharaf (2013)
The effect of oblateness in the perturbed restricted three-body problemMeccanica, 48
A. Baltagiannis, K. Papadakis (2011)
Equilibrium Points and their stability in the Restricted Four-Body ProblemInt. J. Bifurc. Chaos, 21
(1930)
La gravitation etl
C Blaga, V Gerdjikov, M Tsetkov (2015)
Prescessing orbits, central forces and Manev potentialProf. G Manevs Legacy in Contemporary Astronomy, Theoretical and Gravitational Physics
I. Haranas, V. Mioc (2009)
Manev Potential and Satellite Orbits
F. Dubeibe, F. Lora-Clavijo, G. Gonz'alez (2016)
Pseudo-Newtonian planar circular restricted 3-body problemPhysics Letters A, 381
Reena Kumari, B. Kushvah (2012)
Equilibrium points and zero velocity surfaces in the restricted four-body problem with solar wind dragAstrophysics and Space Science, 344
(2015)
Prescessing orbits
J. Singh, Solomon Omale (2020)
A Study on Bi-circular R4BP with Dissipative Forces: Motion of a Spacecraft in the Earth-Moon-Focused ViewFew-Body Systems, 61
I. Newton, A. Shapiro (2018)
The Principia : Mathematical Principles of Natural Philosophy
K. Bhatnagar, P. Hallan (1978)
Effect of perturbations in Coriolis and centrifugal forces on the stability of libration points in the restricted problemCelestial mechanics, 18
E. Barrabés, J. Cors, C. Vidal (2017)
Spatial collinear restricted four-body problem with repulsive Manev potentialCelestial Mechanics and Dynamical Astronomy, 129
The motion of a test particle within the context of the restricted four-body problem (R4BP) driven by a new kind of potential, called the generalized Manev potential, with perturbations in the Coriolis and centrifugal forces is considered in this study. The system possesses eight libration points which were distributed on its plane of motion in different manner from those of the usual Newtonian potential. Unlike the case of the perturbed R4BP under Newtonian potential, where two of these librations are stable, all of them are unstable in linear sense under Manev potential. We found that a gradual perturbation in the centrifugal force causes the trajectories of motion to drift inward but the Coriolis force was proven to have no effect on the location of the libration points of the system. Using first order Lyapunov characteristic exponents, the dynamical behavior of the system is found irregular. We experimented with a high velocity stellar system (82 G. Eridani) to establish the applicability of the model in astrophysics.
Applied Mathematics-A Journal of Chinese Universities – Springer Journals
Published: Mar 1, 2023
Keywords: generalized Manev potential; Coriolis force; centrifugal force; stability; chaotic; 82 G. Eridani; 00A71; 35A01; 65N12
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