title: Observables of a test mass along an inclined orbit in a post-Newtonian-approximated Kerr spacetime including the linear and quadratic spin terms.
abstract: The orbital motion is derived for a nonspinning test mass in the relativistic, gravitational field of a rotationally deformed body not restricted to the equatorial plane or spherical orbit. The gravitational field of the central body is represented by the Kerr metric, expanded to second post-Newtonian order including the linear and quadratic spin terms. The orbital period, the intrinsic periastron advance, and the precession of the orbital plane are derived with the aid of novel canonical variables and action-based methods.
authors.affiliation: Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany, EU. steven.hergt@uni-jena.de
authors.forename: Steven
authors.initials: S
authors.lastname: Hergt
authors.forename: Abhay
authors.initials: A
authors.lastname: Shah
authors.forename: Gerhard
authors.initials: G
authors.lastname: Schäfer