P. Ortega Palencia, Ruben Dario Ortiz, Ana Magnolia Marin Ramirez,
Hyperbolic Center of Mass for a System of Particles on the Poincare
Upper Half-Plane,
Research Journal of Applied Sciences,
Volume 14,Issue 2,
2019,
Pages 49-53,
ISSN 1815-932x,
rjasci.2019.49.53,
(https://makhillpublications.co/view-article.php?doi=rjasci.2019.49.53)
Abstract: In the present study, we obtain using the lever law of the lever, an explicit formula that allows to
calculate the center of mass of a system of n-particles with masses m1, m2, ..., mn>0, located on the half plane
superior of Lobachevsky H2, endowed with a conforming metric which induces constant and negative Gaussian
curvature.
Keywords: The poincare upper half-plane model;hyperbolic center of mass;hyperbolic lever rule;Geodesic;particles;superior