General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies

Dr. Joseph O'Leary is an applied mathematician and research fellow with EOS Space Systems Pty. Ltd.  At present, he is working on the application of semi-analytic satellite theory for operational spacecraft catalogue maintenance and is in close collaboration with the University of French Polynesia working on general relativistic orbitography. Joseph completed his PhD at the University of South Australia which has been recognised internationally through the IAU PhD prize in Division A: Fundamental Astronomy and the inaugural Michael Miller medal from the University of South Australia. Joseph is a keen advocate of scientific communication and has disseminated his research on several stages including the University of South Australia TEDx event.

• Introduction.- Spherically Symmetric General Relativity.-  The Post-Newtonian Approximation.- Post-Newtonian Energy Integrals.- Post-Newtonian Satellite Orbits.