Abstract
Constraint Hamiltonian dynamics is used in an effective one-body approach to study relativistic gravitational two-body system with spin–orbit interaction. Radii of circular orbits, approximate location of innermost stable circular orbit (ISCO), periastron shift, and gravitomagnetic clock effect in the orbit of a non-spinning body around a slowly spinning body whose gravitational field is described by a limiting Kerr metric are derived.
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