Results 11 to 20 of about 568,374 (258)
Parabolic orbits in Celestial Mechanics: a functional‐analytic approach
Proceedings of the London Mathematical Society, 2021 We prove the existence of half‐entire parabolic solutions, asymptotic to a prescribed central configuration, for the equation ẍ=∇U(x)+∇W(t,x),x∈Rd,where d⩾2 , U is a positive and positively homogeneous potential with homogeneity degree −α with α∈]0,2[ ,
A. Boscaggin +3 more
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Analytical formulations to the method of variation of parameters in terms of universal Y's functions [PDF]
Serbian Astronomical Journal, 2015 The method of variation of parameters still has a great interest and wide applications in mathematics, physics and astrodynamics. In this paper, universal functions (the Y's functions) based on Goodyear's time transformation formula were used to
Sharaf M.A., Saad A.S., Selim H.H.
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RUDN 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
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Elementary Solution of Kepler Problem (and a few other problems)
Revista 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
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The earth orbiting space debris [PDF]
Serbian 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.
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Exponential stability of fast driven systems, with an application to celestial mechanics [PDF]
Nonlinear Analysis, 2020 We construct a normal form suited to fast driven systems. We call so systems including actions I , angles ψ , and one fast coordinate y , moving under the action of a vector-field N depending only on I and y and with vanishing I -components.
Qinbo Chen, Gabriella Pinzari
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The Role of a Steepness Parameter in the Exponential Stability of a Model Problem. Numerical Aspects [PDF]
Serbian Astronomical Journal, 2011 The Nekhoroshev theorem considers quasi integrable Hamiltonians providingstability of actions in exponentially long times.One of the hypothesis required by the theorem is a mathematical condition called steepness. Nekhoroshev conjectured that different
Todorovic, N.
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James Croll, celestial mechanics and climate change
, 2021 James Croll was a pioneer in studies of the impact of the slowly changing orbital dynamics of the Earth on climate change. His book Climate and Time in their Geological Relations (1875) was far ahead of its time in seeking correlations between climate ...
M. Longair
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On the Proper Treatment of Dynamics in Cognitive Science
Topics in Cognitive Science, EarlyView., 2023 Abstract This essay examines the relevance of dynamical ideas for cognitive science. On its own, the mere mathematical idea of a dynamical system is too weak to serve as a scientific theory of anything, and dynamical approaches within cognitive science are too rich and varied to be subsumed under a single “dynamical hypothesis.” Instead, after first ...
Randall D. Beer
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Numerical integration in Celestial Mechanics: a case for contact geometry [PDF]
Celestial mechanics & dynamical astronomy, 2019 Several dynamical systems of interest in Celestial Mechanics can be written in the form of a Newton equation with time-dependent damping, linear in the velocities.
A. Bravetti +3 more
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