Results 11 to 20 of about 2,402 (235)
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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Five new methods of celestial mechanics
AIMS 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
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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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Satellite orbit under influence of a drag - analytical approach [PDF]
Serbian 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.
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Hyperbolic normal forms and invariant manifolds: Astronomical applications [PDF]
Serbian 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.
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The Spin–Spin Problem in Celestial Mechanics
Journal of Nonlinear Science, 2022 AbstractWe study the dynamics of two homogeneous rigid ellipsoids subject to their mutual gravitational influence. We assume that the spin axis of each ellipsoid coincides with its shortest physical axis and is perpendicular to the orbital plane. Due to such assumptions, the problem is planar and depends on particular parameters of the ellipsoids, most
Celletti A., Gimeno J., Misquero M.
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DYNAMICAL EVOLUTION NEAR-PARABOLIC COMETS TO HALLEY-TYPE ORBITS
Odessa Astronomical Publications, 2017 The capture of comet from the near parabolic flux of the Oort cloud to Halley-type orbits (P < 200 yr, perihelion distanses q < 1,5 AU, and Tisserand parametr T < 2) is investigated Two types of capture into Halley-type orbits are found.
E. E. Biryukov
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Applications of KS - variables in celestial mechanics
Bibechana, 2010 This paper deals with the transformation of KS-Variables and canonically conjugate variables from sideral (inertial) to synodic (rotating) form and their applications in "the circular restricted problem of three bodies in three-dimensional coordinate ...
MR Hassan, RR Thapa
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Odessa Astronomical Publications, 2017 The batch of the programs for celestial mechanics are elaborated in order to obtain the ephemeris of the Sun, the Moon, the planets and their satellites, the asteroids, the comets, the binary stars, the variables stars, determination of the conditions of
V. V. Mikhalchuk
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Symmetries in central-force problems [PDF]
Serbian Astronomical Journal, 2003 The two-body problem in central fields (reducible to a central-force problem) models a lot of concrete astronomical situations. The corresponding vector fields (in Cartesian and polar coordinates, extended via collision-blow-up and infinity-blow-up ...
Mioc V., Barbosu M.
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