Delve into the second lecture of an advanced course on general relativity, exploring effective equations for test particles, Newtonian theory, and relativistic orbits. Examine bound orbits, innermost stable circular orbits, and light trajectories in gravitational fields. Compare Newtonian and general relativistic approaches to orbital mechanics, discussing precision and typical velocities in the solar system. Investigate effective potentials, photon orbits, and the introduction of Kerr metric for stationary, axisymmetric spacetimes. Engage with concepts like gravitational radiation and static geometries through detailed explanations and Q&A sessions, enhancing understanding of advanced topics in general relativity.