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]

open access: yesSerbian Astronomical Journal, 2011
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.
doaj   +3 more sources

Elementary Solution of Kepler Problem (and a few other problems)

open access: yesRevista Brasileira de Ensino de Física, 2022
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
doaj   +1 more source

The nested planar central configurations of a trapezoid form in classical and generalized versions of the general (4n+1)-body problem

open access: yesRUDN Journal of Engineering Research, 2023
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
doaj   +1 more source

Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials

open access: yesInternational Journal of Quantum Chemistry, Volume 123, Issue 2, January 15, 2023., 2023
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
wiley   +1 more source

The earth orbiting space debris [PDF]

open access: yesSerbian Astronomical Journal, 2005
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.
doaj   +1 more source

Well Posed Origin Anywhere Consistent Systems in Celestial Mechanics [PDF]

open access: greenarXiv
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
openalex   +2 more sources

A Tale of Two Annies: Historical Memory, Archives and the Perpetuation of the Sinners to Angels Trope in American Sex Worker History

open access: yesGender &History, EarlyView., 2023
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
wiley   +1 more source

Hyperbolic normal forms and invariant manifolds: Astronomical applications [PDF]

open access: yesSerbian Astronomical Journal, 2012
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.
doaj   +1 more source

Five new methods of celestial mechanics

open access: yesAIMS Mathematics, 2020
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
doaj   +1 more source

Satellite orbit under influence of a drag - analytical approach [PDF]

open access: yesSerbian Astronomical Journal, 2017
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.
doaj   +1 more source

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