Binary systems with monopole, spin, and quadrupole moments

The first post-Newtonian equations of motion for binary systems with monopole, spin, and quadrupole interactions are for the first time derived in an explicit and complete form making use of the scheme developed by Damour, Soffel, and Xu, especially their second paper. The equations of motion are expressed in the local coordinate system of body $A$ $(B)$ as well as in a global coordinate system. The monopole-spin-quadrupole ``force'' is decomposed into nine coupling parts, monopole-spin-quadrupole moments of body $A$ coupled with monopole-spin-quadrupole moments of body $B$. The new terms containing quadrupole moments might be of some importance for a precise description of coalescing neutron star binaries.