Consider a system consisting of two particles, mass m₁ and m₂ , interacting via a potential V(x₁−x₂) that only depends on the relative positions of the particles. . in the center of mass frame, ...Consider a system consisting of two particles, mass m₁ and m₂ , interacting via a potential V(x₁−x₂) that only depends on the relative positions of the particles. . in the center of mass frame, two particles of mass m₁ and m₂ , moving in the potential V(x₁−x₂) , are equivalent to a single particle of mass μ , moving in the potential V(x) , where x=x₁−x₂.
We now commence a study of the Kepler Problem. We shall determine the equation of motion for the motions of two bodies interacting via a gravitational force (two-body problem) using both force methods...We now commence a study of the Kepler Problem. We shall determine the equation of motion for the motions of two bodies interacting via a gravitational force (two-body problem) using both force methods and conservation laws.
