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A Comparative study on generalized Manev potential and Newtonian potential in perturbed restricted four-body problem

A Comparative study on generalized Manev potential and Newtonian potential in perturbed... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

A Comparative study on generalized Manev potential and Newtonian potential in perturbed restricted four-body problem

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Publisher
Springer Journals
Copyright
Copyright © Editorial Committee of Applied Mathematics 2023
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/s11766-023-3964-9
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

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

References

  • Near collision dynamics for particle systems with quasihomogeneous potentials
    Diacu, F N
  • La gravitation et le principe de l’egalie de l’action et de la reaction
    Maneff, G
  • Die Gravitation und das Prinzip von Wirkung und Gegenwirkung
    Popoff, K
  • Die Masse der Feldenergie und die Gravitation
    Maneff, G
  • La gravitation etl’energie au zero
    Maneff, G
  • Prescessing orbits, central forces and Manev potential
    Blaga, C; Gerdjikov, V; Tsetkov, M
  • Manev Potential and general relativity
    Ivanov, R; Prodanov, E
  • Manev Potential and Satellite orbits
    Haranas, I; Mioc, V
  • Satellite motion in a Manev Potential with drag
    Kirk, S; Haranas, I; Gkigkitzis, I
  • Stability in sense of Lyapunov of Circular orbits in Manev Potential
    Blaga, C
  • Spatial collinear restricted four body problem with repulsive manev potential
    Barrabés, E; Cors, J M; Vidal, C
  • Effect of perturbations in Coriolis and centrifugal forces on the stability of liberation points in the restricted problem
    Bhatnager, K P; Hallan, P P
  • Effect of perturbations in the Coriolisand centrifugal Forces on the Stability of Equilibrium Points in the Restricted Four-Body Problem
    Singh, J; Aguda, V E
  • A study on bi-circular R4BP with dissipative forces: Motion of a spacecraft in the earth-moon-focused view
    Singh, J; Omale, S O
  • Existence and stability of equilibrium points in the photogravitational restricted four-body problem with Stokes drag effect
    Vincent, A E; Taura, J J; Omale, S O
  • The effect of oblateness in the perturbed restricted three-body problem
    Abouelmagad, I A; Asiri, H M; Sharaf, M A
  • Pseudo-Newtonian planar circular restricted 3-body problem
    Dubeibe, F L; Lora-Clavijo, F D; Guillermo, A G
  • Equilibrium points and their stability in the restricted four-body problem
    Baltagiannis, A N; Papadakis, K E
  • Equilibrium points and zero velocity surfaces in the restricted four-body problem with solar wind drag
    Kumari, R; Kushvah, B S
  • Optimal conditions for the numerical calculationof the largest lyapunov exponent for systems of ordinary differential equations
    Dubeibe, F L; Bermýdez-Almanza, L D