Introduction to the problem of N-bodies and applications

• Grant number: 17/09478-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2017
• End date: February 28, 2018
• Field of knowledge: Physical Sciences and Mathematics - Astronomy - Positional Astronomy and Celestial Mechanics
• Principal Investigator: André Izidoro Ferreira da Costa
• Grantee: Eduardo Rohde Eras
• Host Institution: Faculdade de Engenharia (FEG). Universidade Estadual Paulista (UNESP). Campus de Guaratinguetá. Guaratinguetá , SP, Brazil
• Associated research grant: 16/12686-2 - Planetary formation and dynamics: from the Solar System to exoplanets, AP.JP

Abstract

The main goal of this project is to contribute to the formation of an undergraduate student through a theoretical and numerical approach of the gravitational N-body problem, including also non-gravitational effects as gas drag and solar radiation pressure. The N-body problem, in particular for N=3 can be applied to several problems in planetary dynamics and spatial engineering. For instances, those studying the dynamics of the Sun-Jupiter-Asteroid, Earth-Moon-Artificial-Satellite, Saturn-Thetis-Coorbital-Satellite, etc. This project spans the understanding of fundamental concepts of celestial mechanics and dynamical astronomy and applications to real problems by invoking numerical simulations. (AU)