In: Physics
1. A clear step by step formulation and solution (using Hamiltonian function) of the two body problem relative to inertial frame of reference.
2. A clear step by step formulation and solution (using Hamiltonian function) of the two body problem relative to a non-inertial frame of reference.
the constant in final equation is actually the total energy of the system.
By putting radial momentum and angular momentum in velocity form we can even deduce the trajectory of the body.