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Inner third-body perturbations
Third-body perturbations have been extensively studied in recent years. Almost all previous works, however, assumed that the perturbations are caused...
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Free and forced inclinations of orbits perturbed by the central body’s oblateness and an inclined third body
The effect of inclined third-body perturbation on the perturbed body’s inclination evolution has been investigated extensively. However, under...
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General Perturbations
The Solar System represents a classic example of the n-body problem. The Sun is the dominant force on the orbital motion of Earth, while the...
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Perturbations in Coriolis and Centrifugal Forces and N-R Basins of Convergence of Photogravitational Magnetic-Binary Problem with Variable Mass
AbstractIn this paper, we have investigated the effect of small perturbations in the Coriolis (ϕ) and centrifugal (ψ) forces in the...
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Love numbers and Love symmetries for p-form and gravitational perturbations of higher-dimensional spherically symmetric black holes
The static Love numbers of four-dimensional asymptotically flat, isolated, general-relativistic black holes are known to be identically vanishing....
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Gauge invariant perturbations of general spherically symmetric spacetimes
In this paper, the gauge choices in general spherically symmetric spacetimes are explored. In particular, we construct the gauge invariant variables...
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Long-term evolution of orbital inclination due to third-body inclination
The effects of third-body perturbations on natural and artificial satellite orbits have been studied extensively. However, much less attention has...
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Extended analytical formulae for the perturbed Keplerian motion under low-thrust acceleration and orbital perturbations
This paper presents a collection of analytical formulae that can be used in the long-term propagation of the motion of a spacecraft subject to...
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Long-term perturbations in four-body systems with mutual highly inclined orbits
Hierarchical Three Body systems with mutual highly inclined orbits have been well-known since the 1960s. Lidov-Kozai cycles arise within them where...
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Gravitational perturbations from NHEK to Kerr
We revisit the spectrum of linear axisymmetric gravitational perturbations of the (near-)extreme Kerr black hole. Our aim is to characterise those...
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Modified Robe’s Problem with Perturbations in the Coriolis and Centrifugal Forces
The present study is motivated by the work of Abouelmagd et al. (Int J Geom Methods Mod Phys 18(4):21500055, 2020), that it is generalized by...
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The resonance perturbations of the (39991) Iochroma family
The dynamics of a very young compact asteroid cluster associated with asteroid 39991 Iochroma is studied. It is shown that Iochroma family lies...
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Study of orbital relocation of objects in GEO via orbital perturbations and solar sail
This study considers the use of solar sails as devices on board space vehicles to promote their orbital relocation after the end of the useful life...
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Orbit averaging applied to inverse-square perturbations
This paper derives equations of motion for the mean elements under an inverse-square perturbing acceleration that is a function of latitude and...
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Massive scalar field perturbations in Weyl black holes
In this work we consider the propagation of massive scalar fields in the background of Weyl black holes, and we study the effect of the scalar field...
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Impact of Some Perturbations on the Generalized Elliptic Hill Problem
Abstarct —The aim of the present work is to investigate the dynamical behavior of a variable mass smallest body in R3BP configuration under the...
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Motion Properties in the GPCR3BP with Their Interactions under the Effects of Variable Mass and Asteroids Belt
AbstractThe main aim of this paper is to investigate numerically the dynamical motion properties of the infinitesimal body under the various types of...
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Approximating orbits in a rotating gravity field with oblateness and ellipticity perturbations
This paper explores the problem of analytically approximating the orbital state for a subset of orbits in a rotating potential with oblateness and...
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Perturbed R3BP with Logarithmic Potential
AbstractThis paper investigates the dynamical behavior of the effects of perturbations on the motion of infinitesimal body in the restricted...
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Semi-analytical model for third-body perturbations including the inclination and eccentricity of the perturbing body
A general third-body perturbation problem, considering the perturbing body in an elliptic and inclined orbit, is investigated by using a...
