Stability of orbits of particles moving around an attraction center surrounded by a disk or others structures

• Grant number: 05/00782-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2005
• End date: November 30, 2006
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Patricio Anibal Letelier Sotomayor
• Grantee: Tiago Amancio da Silva
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We shall study the stability of circular orbits of particles subject to small perturbations (radial and vertical), in Newtonian mechanics. The orbits are around a spherical mass distribution surrounded by a disk or others structures. In this study, we will also use, for comparison, the Rayleigh criteria of stability. (AU)