Equations of motion for binary systems with relativistic quadrupole-quadrupole moments interaction.

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Binaries: Neutron Stars, Binaries: Relativistic Effects

Scientific paper

By making use of the scheme developed by Damour, Soffel and Xu, in terms of Maple-computer algebra system, the first post-Newtonian equations of motion for binary systems with monopole, spin and quadrupole interaction are for the first time derived in an explicit and complete form. The equations of motion are expressed in the local coordinate system as well as in a global coordinate system. The new terms containing quadrupole-quadrupole moments might be of some importance for a precise description of coalescing neutron star binaries.

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