I absolutely love orbital mechanics. Please see the below examples of work I did in the advanced elective orbital mechanics courses offered at Cal Poly. The courses taught by Dr. Kira Abercromby were second to none, in my opinion. The course descriptions for each class are:

AERO 452 – Spaceflight Mechanics II. Relative orbital motion and rendezvous, linearization of the equations of motion. Clohessy-Wiltshire equations. Two-impulse rendezvous. Aspherocity of the earth, aerodynamic drag, solar radiation pressure, and n-body perturbations on an orbit. Encke, Cowell, and Variation of Parameters solution techniques. Speciality orbit due to perturbations such as low thrust trajectories, sun-synchronous, and molynia orbits.

AERO 557 – Advanced Orbital Mechanics. Initial orbit determination using angles only methods. Various Solutions to Lambert’s Problem. Orbit and transfer optimization, libration points, halo orbits, and secondary orbit perturbations.