Problema de dois corpos na mecânica celeste

Abstract

The objective of this work is to study celestial mechanics by retracing the mathematical foundations of Kepler's three laws, in connection with Newton's law of gravity, as to describe the planetary orbits as conic sections, ellipses, parabolas, hyperbolas. After describing the orbits in the plane. we address the two-body problem in the three dimensional space using as starting point the differential equations that describe such motion. In order to do this, we consider a suitable change of coordinates in which one of the bodies is at the origin.