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Searching for elusive dark sectors with terrestrial and celestial observations
We consider the possible existence of a SM-neutral and light dark sector coupled to the visible sector through irrelevant portal interactions....
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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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Lyapunov Exponent and the Growth Rate of Geodesic Deviation in the Jacobi Equation with Random Curvature
AbstractThe growth rate of geodesic deviation in a homogeneous and isotropic on average cosmological model, in which curvature fluctuations are taken...
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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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Dynamics around the Earth–Moon triangular points in the Hill restricted 4-body problem
This paper investigates the motion of a small particle moving near the triangular points of the Earth–Moon system. The dynamics are modeled in the...
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Chaotic coexistence of librational and rotational dynamics in the averaged planar three-body problem
Through an appropriate change of reference frame and rescalings of the variables and the parameters introduced, the Hamiltonian of the three-body...
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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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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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A New Model Emerged from the Three-body Problem within Frame of Variable Mass
AbstractIn this work, we have revealed a new model emerged from the restricted three-body problem within a framework of a non-isotropic variation of...
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On the Origin of Sungrazing Comet Groups
AbstractStatistical dependences of orbit parameters in four groups of sungrazing comets are studied. It is shown that the perihelia of comets of the...
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Regularized phase-space volume for the three-body problem
The micro-canonical phase-space volume for the three-body problem is an elementary quantity of intrinsic interest, and within the flux-based...
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Mutual Gravitational Energy of Gaussian Rings and the Problem of Perturbations in Celestial Mechanics
AbstractA new approach to the study of long-period and secular perturbations in celestial mechanics is developed. In contrast to the traditional use...
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On the relative equilibria of the (rhombus+1)-body problem
We consider some basic issues on the relative equilibria of the restricted five-body problem in which the primaries form a rhombus relative...
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Some Aspects of the Relativistic Rotation of Solar System Bodies using the Example of Jupiter and its Galilean Satellites
AbstractThis paper is devoted to some aspects of the study of relativistic effects (geodetic precession and geodetic nutation, which together...
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Analysis on nonlinear dynamics of two first-order resonances in a three-body system
This paper focuses on the analysis on the nonlinear dynamics of two first-order 2:3 external and 3:2 internal mean motion resonances (MMRs) for...
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AdS Witten diagrams to Carrollian correlators
Carrollian Conformal Field Theories (CFTs) have been proposed as co-dimension one holographic duals to asymptotically flat spacetimes as opposed to...
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Charged quark stars represented by the MIT bag approach in \(5\mathcal {D}\) Einstein–Maxwell–Gauss–Bonnet formalism
Quark stars take significant roles while studying the behavior of strong gravitational fields and supra-nuclear territories. On the other hand,...
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