Results 11 to 20 of about 287,576 (264)
The role of a steepness parameter in the exponential stability of a model problem: Numerical aspects [PDF]
The Nekhoroshev theorem considers quasi integrable Hamiltonians providing stability of actions in exponentially long times. One of the hypothesis required by the theorem is a mathematical condition called steepness.
Todorović N.
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Elementary Solution of Kepler Problem (and a few other problems)
We present a simple method to obtain the solution of a few orbital problems: the Kepler problem, the modified Kepler problem by the addition of an inverse square potential and linear force.
M. Moriconi
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The study of central configurations, whose concepts and definitions were already formulated by the classics of celestial mechanics - Euler, Lagrange, Laplace and Liouville in the XVIII-XIX centuries, is of interest not only for celestial mechanics, but ...
Yulianna V. Perepelkina+1 more
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Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials
The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
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The earth orbiting space debris [PDF]
The space debris population is similar to the asteroid belt, since it is subject to a process of high-velocity mutual collisions that affects the long-term evolution of its size distribution.
Rossi A.
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Well Posed Origin Anywhere Consistent Systems in Celestial Mechanics [PDF]
Certain measurements in celestial mechanics necessitate having the origin O of a Cartesian coordinate system (CCS) coincide with a point mass. For the two and three body problems we show mathematical inadequacies in Newton's celestial mechanics equations (NCME) when the origin of a coordinate system coincides with a point mass.
Harry Gingold, Jocelyn Quaintance
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Abstract As a historian of sex work, I analyse the power dynamics in the archiving practices and interpretation of sex worker lives, deconstructing the historic and current discourses shaping the possibilities for sex workers. In this article, I explore the legends of nineteenth‐century Madams Annie Cook and Annie Chambers.
Ashley Barnes‐Gilbert
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Hyperbolic normal forms and invariant manifolds: Astronomical applications [PDF]
In recent years, the study of the dynamics induced by the invariant manifolds of unstable periodic orbits in nonlinear Hamiltonian dynamical systems has led to a number of applications in celestial mechanics and dynamical astronomy.
Efthymiopoulos C.
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Five new methods of celestial mechanics
The last volume of the book “Les méthods nouvelles de la mécanique céleste” by Poincaré [28] was published more than 120 years ago. Since then, the following methods have arisen. 1.
Alexander Bruno
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Satellite orbit under influence of a drag - analytical approach [PDF]
The report studies some changes in orbital elements of the artificial satellites of Earth under influence of atmospheric drag. In order to develop possibilities of applying the results in many future cases, an analytical interpretation of the ...
Martinović M.M., Šegan S.D.
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