University Librarian Centre | University of Cagliari
UniCA Eprints

Three-dimensional potentials producing families of straight lines (FSL)

Bozis, George - Kotoulas, Thomas A. (2004) Three-dimensional potentials producing families of straight lines (FSL). Rendiconti del Seminario della Facoltà di Scienze dell'Università di Cagliari, 74 (1-2). pp. 83-99. ISSN 0370727X

[img]
Preview
PDF
70Kb

Official URL: http://www.unica.it/scienzemfn/fileadmin/Documenti...

Abstract

We identify a given two-parametric family of regular orbits in the 3-D Cartesian space by two functions α and β. Then, from the inverse-problem viewpoint, we find three necessary and sufficient conditions that the functions α and β must satisfy when the given family is a two-parametric family of straight lines (FSL) and is actually created by a potential V. Some pertinent theorems are shown and several examples are worked out.

Item Type:Article
Date:2004
Institution:Universita' degli Studi di Cagliari
Divisions:Centri > Seminario Scientifico della Facolta' di Scienze MM.FF.NN.
Subjects:Area 02 - Scienze fisiche > FIS/02 Fisica teorica, modelli e metodi matematici
Uncontrolled Keywords:Potentials, Trajectories, Inverse Problem of Dynamics, Mechanics
ID Code:310
Deposited On:12 Nov 2008 12:10

Repository Staff Only: item control page