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Some results on the global dynamics of the regularized restricted three-body problem with dissipation
... 4 Conclusions Using the regularized equations for the computation of the equations of motion and of the variational equations, we performed a global study of the dynamics of the circular, restricted, three–body ...
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Study of the solutions of low-thrust orbital transfers in the two and three body problem
... two-body problem naturally to the problem of three (and four) bodies by studying satellite transfers which initially require space perturbations to be considered, and finally which require us to ...
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Riemannian metrics on 2D manifolds related to the Euler-Poinsot rigid body problem
... Riemannian metrics on 2D manifolds related to the Euler-Poinsot rigid body problem. Bernard Bonnard, Olivier Cots and Nataliya Shcherbakova Abstract— The Euler-Poinsot rigid body problem is a ...
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Sufficient condition for the application of the KAM theorem to the plane planetary three-body problem
... 4. Indeed, the conditions of the KAM theorem require that the size of the perturbation is less than γ 4 rσ ν /c, where c ∼ 10 18 . In the corollary, this constant is c ∼ 10 8 in dimension 4. Hence, it would be quite ...
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Averaging the planar three-body problem in the neighborhood of double inner collisions
... two-body problem easily ex- tends to a regularization of double inner collisions in the system consisting of two uncoupled Newtonian two-body ...inner body is shown to describe el- lipses on ...
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Complex singularities in the plane planetary three-body problem
... three-body problem Thibaut Castan Abstract. In the plane planetary three-body problem, the Hamiltonian is the sum of two uncoupled Kepler problems and a small, perturbing ...
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Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem
... from the right-hand side (left-hand side respectively) ’bounce back’ if they are on one side of the separatrix, while they transit to the left-hand side (right-hand side respectively) if they are on the other side of the ...
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Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem
... gaps problem between hyperbolic invariant tori; this problem was later solved in this setting by Zheng ...three- body problem, hence of chaotic orbits, but considering far from integrable, ...
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Stability in the plane planetary three-body problem
... three-body problem. Regarding the perturbation, another problem kept the attention of researchers for years: the convergence of the expansion in power of the eccentricities of the disturbing ...
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Quasiperiodic motions in the planar three-body problem
... Now we show how to apply this theorem to the existence of invariant tori for some class of Hamiltonians which are completely integrable on a transversally Cantor set. In the next subsection (§ 3.2) we will show that the ...
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Secular instability in the spatial three-body problem
... In this paper, we focus on secular resonances. Numerical evidence has long been suggesting that such resonances are a major source of chaos in the Solar system [LR93, Las08, FS89]. For example, astronomers have ...
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The flow of the equal-mass spatial 3-body problem in the neighborhood of the equilateral relative equilibrium
... n-body problem allows to canonically put in correspondance solutions with a fixed norm of the angular momentum, and solutions with a fixed period; but the reduction by rotations is more tractable by fixing ...
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Analysis Software for Interplanetary Trajectories using Three Body Problem
... This is an author-deposited version published in : http://oatao.univ-toulouse.fr/ Eprints ID : 13810 To cite this version : Riols, Antoine and Trilles, Sébastien Analysis Software for Interplanetary Trajectories using ...
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Safety Analysis for Near Rectilinear Orbit Close Approach Rendezvous in the Circular Restricted Three-Body Problem
... The Near Rectilinear Orbits NROs are defined within the Earth-Moon Three-Body framework and they can be seen as a certain class of Halo orbits if the point of the trajectory closest to t[r] ...
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On a linearly damped 2 body problem
... 5 A formal calculation for spiraling solutions We now try a formal calculation suggesting that solutions with norm equivalent to a decreasing exponential for t large might however exist. We would like to see which sort ...
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Current issues in the mind/body problem
... Could Feldman nov respond to my point about essential properties by claiming that the person case 1s analogous to the above? Perhaps, embodied persons are essentially bodies as well 8S e[r] ...
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Les défis fitness : entre culte du corps et accélération : les cas du Bikini Body Guide et du Top Body Challenge
... Dès la sixième page du Top Body Challenge, nous constatons la présence d’un visuel mettant en avant une brassière, un short ainsi qu’une paire de chaussures de la marque Nike. Par ailleurs, lors de son Boot Camp, ...
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Promoting healthy body images in populations : does body dissatisfaction influence reactions to Québec’s charter for a healthy and diverse body image?
... unrealistic body ideals, culturally, there still remains a greater cultural discrimination that is overtly expressed towards women particular to the topic of thinness (Grogan, 2016; Runfola et ...
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Geometric shapes and relationships of some one-body and multi-body leptodermous distributions
... From the elliptic lemniscatoids, it is possible to generate symmetric prolate ternary shapes varying from one sphere to three aligned tangent identical spheres, assuming volume conservat[r] ...
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Energy Modeling of Wireless Body Area Networks with On-Body Communication Channel Characterization
... human body posture was presented. We have demonstrated that the human body has a rigorous influence on the propagation model as well as the energy ...human body and it is more important than free ...
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