IA Dynamics and Relativity
The goal of this chapter is to study the orbit of a particle in a central force,
r = −∇V (r).
While the universe is in three dimensions, the orbit is confined to a plane. This is
since the angular momentum
is a constant vector, as we’ve previously
L · r
= 0. Therefore, the motion takes place in a plane
passing through the origin, and perpendicular to L.