Authors : Pedro P. Ortega Palencia, Ruben Dario Ortiz and J. Guadalupe Reyes Victoria
Abstract: In this research is given a simple expression for the center of mass of a system of material points in a two-dimensional surface of Gaussian constant positive curvature. Using basic techniques of geometry, an expression in intrinsic coordinates is obtained and it is showed how this extend the definition for the Euclidean case. The argument is constructive and also serves for defining center of mass of a system of particles on the one-dimensional Sphere S1R.
Pedro P. Ortega Palencia, Ruben Dario Ortiz and J. Guadalupe Reyes Victoria, 2019. A Simple Expression for the Center of Mass of a System of Particles in a Two-Dimensional Space with Constant Positive Curvature. Journal of Engineering and Applied Sciences, 14: 9603-9607.