The Dynamics of Pendulums on Surfaces of Constant Curvature

We define the notion of a pendulum on a surface of constant curvature and study the motion of a mass at a fixed distance from a pivot. We consider some special cases: first a pivot that moves with constant speed along a geodesic, and then a pivot that undergoes acceleration along a fixed geodesic.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Mathematical physics, analysis, and geometry analysis, and geometry, 2009-05, Vol.12 (2), p.97-107
Hauptverfasser:	Coulton, P., Foote, R., Galperin, G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Geometry Group Theory and Generalizations Mathematical and Computational Physics Physics Physics and Astronomy Theoretical
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We define the notion of a pendulum on a surface of constant curvature and study the motion of a mass at a fixed distance from a pivot. We consider some special cases: first a pivot that moves with constant speed along a geodesic, and then a pivot that undergoes acceleration along a fixed geodesic.
ISSN:	1385-0172 1572-9656
DOI:	10.1007/s11040-008-9053-8