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On Resonance Values of Parameters in the Problem of Stability of Lagrange Solutions in a Restricted Three-Body Problem Close to a Circle
AbstractThe restricted problem of three bodies (material points) moving under the action of gravitational attraction according to Newton’s law is...
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Global Families of Periodic Orbits Adjacent to Libration Points in the Restricted Three-Body Problem
AbstractThe restricted circular three-body problem is studied. All global families of periodic orbits adjacent to the libration points are found. A...
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Exploring the Perturbed Restricted Three-Body Problem under the Effect of Albedo and Straight Segment
AbstractThe research presented in this work focuses on investigating the characteristics of equilibrium points within the context of the...
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Circular restricted full three-body problem with rigid-body spacecraft dynamics in binary asteroid systems
Coupling between the rotational and translational motion of a rigid body can have a profound effect on spacecraft motion in complex dynamical...
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Shapes and Mass Variation Effects of the Bodies in the Generalized Elliptic Restricted 3-Body Problem
AbstractThe elliptic restricted three-body problem is used to investigate the motion behavior of the smallest body (test particle), where the...
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The Role of Oblateness in Sha** Stability and Zero Velocity Curves in the Perturbed Restricted Three-Body Problem
AbstractThe objective of this research is to investigate the findings in the perturbed restricted three-body problem involving oblate spheroids as...
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A Note on Modified Restricted Three-Body Problem
AbstractThe belief that celestial bodies as perfect spheres results in certain idealistic conditions because most often they are in irregular shapes....
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Image classification of retrograde resonance in the planar circular restricted three-body problem
The study of resonances in celestial mechanics is crucial for understanding the dynamics of planetary or stellar systems. This study focuses on...
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Assessment of dynamical models for transitioning from the Circular Restricted Three-Body Problem to an ephemeris model with applications
While the Circular Restricted Three-Body Problem (CR3BP) provides useful structures for various applications, transitioning the solutions from the...
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Periodic orbits in the restricted three-body problem for observations of the smaller primary
This work proposes a numerical investigation for periodic orbits in the restricted three-body problem to observe the smaller primary of the system....
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Determination of the doubly symmetric periodic orbits in the restricted three-body problem and Hill’s lunar problem
We review some recent progress on the research of the periodic orbits of the N-body problem, and numerically study the spatial doubly symmetric...
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Framework for the full N-body problem in SE(3) and its reduction to the circular restricted full three-body problem
A novel, compact formalism of rigid body motion dynamics is presented in a general reference frame based on the geometric mechanics framework. This...
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Quaternion Methods and Regular Models of Celestial Mechanics and Space Flight Mechanics: Local Regularization of the Singularities of the Equations of the Perturbed Spatial Restricted Three-Body Problem Generated by Gravitational Forces
AbstractThe problem of local regularization of differential equations of a perturbed spatial restricted three-body problem is studied: elimination of...
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On the Asymptotic Behavior of the Secular Perturbation Function in the Circular Restricted Three-Body Problem
AbstractThe asymptotic behavior of the secular perturbation function expanded in a power series in μ, the ratio of the semimajor axes of the massless...
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Orbital Motion and Calculation Method in the Restricted Three-Body Problem
The restricted problem is introduced in the Introduction of this book.
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On the Stability of Lagrange Solutions in the Spatial Near-Circular Restricted Three-Body Problem
Abstract—The restricted problem of three bodies (material points) is considered. The orbits of the main attracting bodies are assumed to be ellipses...
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Relegation-free closed-form perturbation theory and the domain of secular motions in the restricted three-body problem
We propose a closed-form (i.e., without expansion in the orbital eccentricities) scheme for computations in perturbation theory in the restricted...
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Evolution of the characteristic curves in the restricted three-body problem in terms of the mass parameter
In this work, we study the evolution of the families of simple symmetric periodic orbits in the restricted three-body problem whatever the value of...
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Regularization of the Hill four-body problem with oblate bodies
We consider the Hill four-body problem where three oblate, massive bodies form a relative equilibrium triangular configuration, and the 4th,...
