Results 1 to 10 of about 14,461 (163)

On a planar circular restricted charged three-body problem [PDF]

open access: yesAstrophysics and Space Science, 2015
Submitted to Astrophysics and Space Science ...
Bengochea, Abimael, Vidal, Claudio
openaire   +4 more sources

Practical Homotopy Methods for Finding the Best Minimum-Fuel Transfer in the Circular Restricted Three-Body Problem

open access: yesIEEE Access, 2020
Finding a solution to a low-thrust minimum-fuel transfer trajectory optimization problem in the circular restricted three-body problem (CRTBP) is already known to be extremely difficult due to the strong nonlinearity and the discontinuous bang-bang ...
Xun Pan, Binfeng Pan
doaj   +3 more sources

Fast numerical approximation of invariant manifolds in the circular restricted three-body problem

open access: yesCommunications in Nonlinear Science and Numerical Simulation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesco Topputo
openaire   +3 more sources

The behavior of a satellite trajectory near the equilibrium points of sun-earth system and its control [PDF]

open access: yesTheoretical and Applied Mechanics, 2023
In this paper, the behavior of a satellite trajectory near the equilibrium points of the Sun-Earth system is studied. The equations describing the motion of the satellite in the circular restricted three body problem for the Sun-Earth system, are ...
Shalby Lina A., Ali Noha A.
doaj   +1 more source

Analysis of Resonance Transition Periodic Orbits in the Circular Restricted Three-Body Problem

open access: yesApplied Sciences, 2022
Resonance transition periodic orbits exist in the chaotic regions where the 1:1 resonance overlaps with nearby interior or exterior resonances in the circular restricted three-body problem (CRTBP).
Shanshan Pan, Xiyun Hou
doaj   +1 more source

Dynamics in the Charged Restricted Circular Three-Body Problem [PDF]

open access: yesJournal of Dynamics and Differential Equations, 2017
This is a post-peer-review, pre-copyedit version of an article published in Journal of Dynamics and Differential Equations. The final authenticated version is available online at: https://doi.org/10.1007/s10884-017-9627-x.
Palacián Subiela, Jesús Francisco   +3 more
openaire   +4 more sources

A Functional Interpolation Approach to Compute Periodic Orbits in the Circular-Restricted Three-Body Problem

open access: yesMathematics, 2021
In this paper, we develop a method to solve for periodic orbits, i.e., Lyapunov and Halo orbits, using a functional interpolation scheme called the Theory of Functional Connections (TFC).
Hunter Johnston   +2 more
doaj   +1 more source

New exact particular analytical solutions of the triangular restricted three-body problem

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
The triangular restricted three-body problem is studied in special non-inertial central reference frame with origin at forces centre of this problem. Masses are arbitrary values. We studied the solutions of dimensionless differential equations of motion
M.Zh. Minglibayev, Т.М. Zhumabek
doaj   +1 more source

On the Periodic Orbits of the Perturbed Two- and Three-Body Problems

open access: yesGalaxies, 2023
In this work, a perturbed system of the restricted three-body problem is derived when the perturbation forces are conservative alongside the corresponding mean motion of two primaries bodies.
Elbaz I. Abouelmagd   +2 more
doaj   +1 more source

Minimal velocity surface in the restricted circular Three-Body-Problem

open access: yesVestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2020
In the framework of the restricted circular Three-Body-Problem, the concept of the minimum velocity surface S is introduced, which is a modification of the zero-velocity surface (Hill surface). The existence of Hill surface requires occurrence of the Jacobi integral. The minimum velocity surface, other than the Jacobi integral, requires conservation of
K. V. Kholshevnikov, V. B. Titov
openaire   +2 more sources

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