Results 31 to 40 of about 287,576 (264)
On the Proper Treatment of Dynamics in Cognitive Science
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
wiley +1 more source
Applications of KS - variables in celestial mechanics
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
doaj +3 more sources
A new approach to determining the solar galactocentric distance, R0, from the geometry of spiral-arm segments is proposed. Geometric aspects of the problem are analyzed and a simplified three-point method for estimating R0 from objects in a spiral ...
Nikiforov I. I., Veselova A. V.
doaj +1 more source
The proximities of asteroids and critical points of the distance function [PDF]
The proximities are important for different purposes, for example to evaluate the risk of collisions of asteroids or comets with the Solar-System planets.
Milisavljević Slaviša
doaj +3 more sources
Survey of secular resonances in the asteroid belt [PDF]
Using a recently introduced synthetic method to compute the asteroid secular frequencies (Knežević and Milani 2019), in this paper we survey the locations of secular resonances in the 9 dynamically distinct zones of the asteroid belt.
Knežević Z.
doaj +1 more source
Gamification in studying celestial mechanics using Kerbal Space Program
The rapid development of technologies and their implementation in the educational process provide an opportunity to apply gamification, that is, the use of game mechanics and elements for in-depth study of a complex technical discipline.
Pavlo Ponomarenko
doaj +1 more source
Minimum Energy Configurations in the $N$-Body Problem and the Celestial Mechanics of Granular Systems [PDF]
Minimum energy configurations in celestial mechanics are investigated. It is shown that this is not a well defined problem for point-mass celestial mechanics but well-posed for finite density distributions. This naturally leads to a granular mechanics extension of usual celestial mechanics questions such as relative equilibria and stability. This paper
arxiv +1 more source
Quantitative predictions with detuned normal forms [PDF]
The phase-space structure of two families of galactic potentials is approximated with a resonant detuned normal form. The normal form series is obtained by a Lie transform of the series expansion around the minimum of the original Hamiltonian. Attention is focused on the quantitative predictive ability of the normal form. We find analytical expressions
arxiv +1 more source
Third derivatives of the integrable part of an asteroid Hamiltonian [PDF]
To apply the theorem of Nekhoroshev (1977) to asteroids, one first has to check whether a necessary geometrical condition is fulfilled: either convexity, or quasi-convexity, or only a 3-jet non-degeneracy.
Pavlović R.
doaj +1 more source