In general relativity, the equation of motion for a test particle about a fixed central mass is given by
where h is the specific angular momentum,
General Relativity, Line of Apsides, Precession, Relativistic Precession, Two-Body Problem
References
Danby, J. M. "Einstein's Modification of the Equation of the Orbit." §4.5 in Fundamentals of Celestial Mechanics, 2nd ed., rev. ed. Richmond, VA: Willmann-Bell, pp. 67-68, 1988.
Fernández-Jambrina, L. and Hoenselaers, C. "High-Order Relativistic Corrections to Keplerian Motion." J. Math. Phys. 42, 839-855, 2001.
Herlt, E. and Salié, N. Spezielle Relativitätstheorie. Braunschweig, Germany: Vieweg, 1978.
Weinberg, S. "Bound Orbits: Precession of Perihelia." §8.6 in Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity. New York: Wiley, pp. 194-201, 1972.
