Combined effect of Stokes drag, oblateness and radiation pressure on the existence and stability of equilibrium points in the restricted four-body problem
Sign Up to like & getrecommendations! Published in 2019 at "Astrophysics and Space Science"
DOI: 10.1007/s10509-019-3494-3
Abstract: This paper studies numerically the existence of collinear and non-collinear equilibrium points and their linear stability in the frame work of photogravitational circular restricted four-body problem with Stokes drag acting as a dissipative force and… read more here.
Keywords: stokes drag; body; stability; radiation pressure ... See more keywords
Boundaries of Stability Domains for Equilibrium Points of Differential Equations with Parameters
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-3797-x
Abstract: We consider autonomous and periodic differential equations containing two scalar parameters and analyze the construction of boundaries of stability domains of equilibrium points for such equations in the plane of parameters. We indicate conditions under… read more here.
Keywords: equilibrium points; boundaries stability; stability domains; differential equations ... See more keywords
On sensitivity of the stability of equilibrium points with respect to the perturbations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Astrophysics and Astronomy"
DOI: 10.1007/s12036-020-09650-x
Abstract: The present investigation considers the effect of small perturbations given in the Coriolis and centrifugal forces on the location and stability of the equilibrium points in the Robe’s circular restricted three-body problem with non-spherical primary… read more here.
Keywords: equilibrium points; points respect; equilibrium; sensitivity stability ... See more keywords
Effects of triaxiality of primaries on oblate infinitesimal in elliptical restricted three body problem
Sign Up to like & getrecommendations! Published in 2020 at "New Astronomy"
DOI: 10.1016/j.newast.2020.101538
Abstract: Abstract This paper examines the effects of triaxiality of both the primaries on the position and stability of the oblate infinitesimal mass in the neighborhood of triangular equilibrium points in the framework of Elliptical restricted… read more here.
Keywords: equilibrium points; triangular equilibrium; triaxiality; triaxiality primaries ... See more keywords
Coulomb spacecraft formation flying: Equilibrium points, periodic orbits, and center manifolds
Sign Up to like & getrecommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2020.132357
Abstract: Abstract Close-proximity Coulomb formation flying offers attractive prospects in multiple astronautical missions. To achieve a deeper understanding of the dynamical structures of Coulomb formations, in this paper, an eight-charge symmetric configuration of Coulomb formation is… read more here.
Keywords: equilibrium points; coulomb formation; formation flying; formation ... See more keywords
Comment on "Out-of-plane equilibrium points in the restricted three-body problem with oblateness (Research Note)"
Sign Up to like & getrecommendations! Published in 2018 at "Astronomy and Astrophysics"
DOI: 10.1051/0004-6361/201832575
Abstract: We analyze in this paper the existence of the "out-of-plane" equilibrium points in the restricted three-body problem with oblateness. From the series expansion of the potential function of an oblate asteroid, we show analytically all… read more here.
Keywords: equilibrium points; points restricted; plane equilibrium; plane ... See more keywords
Strange attractor existence for non-local operators applied to four-dimensional chaotic systems with two equilibrium points.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5085440
Abstract: Not every chaotic system has the particularity of displaying attractors with a fractal structure. That is why strange attractors remain enthralling not only for their fractal structure, but also for their amazing chaotic and multi-scroll… read more here.
Keywords: equilibrium points; non local; dimensional chaotic; fractal structure ... See more keywords
Relative Orbital Motion of a Charged Object Near a Spaceborne Radially Directed Rotating Magnetic Dipole
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Aerospace and Electronic Systems"
DOI: 10.1109/taes.2021.3117067
Abstract: The relative orbital motion of a charged object near a spaceborne magnetic dipole is presented in this article, where the intersatellite Lorentz force is taken into consideration. Assuming that a reference point is constrained in… read more here.
Keywords: orbital motion; charged object; magnetic dipole; relative orbital ... See more keywords
A Dynamic Theory-Based Method for Computing Unstable Equilibrium Points of Power Systems
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Power Systems"
DOI: 10.1109/tpwrs.2019.2946143
Abstract: In this paper, a new theory-based dynamic method for computing unstable equilibrium points is proposed. This dynamic method is a combination of a dynamic transformation method and a trajectory-unified method for the computation of unstable… read more here.
Keywords: system; method; power; equilibrium points ... See more keywords
On the Nature of Equilibrium Points in the Axisymmetric Five-Body Problem
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Computational and Nonlinear Dynamics"
DOI: 10.1115/1.4051476
Abstract: The aim of this work is to numerically investigate the nature of the equilibrium points of the axisymmetric five-body problem. Specifically, we consider two cases regarding the convex or concave configuration of the four primary… read more here.
Keywords: equilibrium points; nature equilibrium; axisymmetric five; equilibrium ... See more keywords
Combined effects of oblateness and photogravitational perturbations on the stability of the equilibrium points in the relativistic RTBP
Sign Up to like & getrecommendations! Published in 2019 at "Canadian Journal of Physics"
DOI: 10.1139/cjp-2018-0187
Abstract: In this work the stability of all equilibrium points in the photogravitational relativistic RTBP with oblate primaries is investigated for arbitrary RTBP systems. The four roots of the RTBP systems constituted from the Sun-Planet of… read more here.
Keywords: rtbp; relativistic rtbp; stability; equilibrium points ... See more keywords