On the determination of the potential function from given orbits

L. Alboul; J. Mencía; R. Ramírez; N. Sadovskaia

Displaying similar documents to “On the determination of the potential function from given orbits”

On geodesic motion around magnetized black holes

V. Karas, Martin Šolc, Michael Wolff (1989)

Acta Universitatis Carolinae. Mathematica et Physica

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Ultrafilter-limit points in metric dynamical systems

Salvador García-Ferreira, Manuel Sanchis (2007)

Commentationes Mathematicae Universitatis Carolinae

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Given a free ultrafilter $p$ on $ℕ$ and a space $X$ , we say that $x \in X$ is the $p$ -limit point of a sequence ${(x_{n})}_{n \in ℕ}$ in $X$ (in symbols, $x = p$ - ${lim}_{n \to \infty} x_{n}$ ) if for every neighborhood $V$ of $x$ , ${n \in ℕ : x_{n} \in V} \in p$ . By using $p$ -limit points from a suitable metric space, we characterize the selective ultrafilters on $ℕ$ and the $P$ -points of $ℕ^{*} = β (ℕ) ∖ ℕ$ . In this paper, we only consider dynamical systems $(X, f)$ , where $X$ is a compact metric space. For a free ultrafilter $p$ on $ℕ^{*}$ , the function $f^{p} : X \to X$ is defined by $f^{p} (x) = p$ - ${lim}_{n \to \infty} f^{n} (x)$ for each $x \in X$ . These functions are not continuous in general....

Cruising in a central force field.

Furta, Stanislav, Zampieri, Gaetano (2004)

Portugaliae Mathematica. Nova Série

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Calculation of the magnetic field due to a bioelectric current dipole in an ellipsoid

Andrei Irimia (2008)

Applications of Mathematics

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The bioelectric current dipole model is important both theoretically and computationally in the study of electrical activity in the brain and stomach due to the resemblance of the shape of these two organs to an ellipsoid. To calculate the magnetic field $𝐁$ due to a dipole in an ellipsoid, one must evaluate truncated series expansions involving ellipsoidal harmonics $𝔼_{n}^{m}$ , which are products of Lamé functions. In this article, we extend a strictly analytic model (G. Dassios and F. Kariotou,...

Could the classical relativistic electron be a strange attractor?

Horwitz, L.P., Katz, N., Oron, O. (2004)

Discrete Dynamics in Nature and Society

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Progress towards a local expression for radiation reaction

Rachel Capon (1997)

Banach Center Publications

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We report on progress towards finding a local expression for radiation reaction for a particle orbiting a Kerr black hole. The Dirac-Gal'tsov approach is described. For the case of a scalar particle in a circular orbit of a Schwarzschild black hole, an explicit calculation is done via this method and shown to be in agreement with overall energy conservation. A possible approach to the case of more general orbits is also discussed.