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We establish the set of independent variables suitable to monitor thecomplicated evolution of the spinning compact binary during the inspiral. Ourapproach is valid up to the second post-Newtonian order, including leadingorder spin-orbit, spin-spin and mass quadrupol-mass monopole effects, forgeneric (noncircular, nonspherical) orbits. Then we analyze the conservativespin dynamics in terms of these variables. We prove that the only binary blackhole configuration allowing for spin precessions with equal angular velocitiesabout a common intantaneous axis roughly aligned to the normal of theosculating orbit, is the equal mass and parallel (aligned or antialigned) spinconfiguration. This analytic result puts limitations on what particularconfigurations can be selected in numerical investigations of compact binaryevolutions, even in those including only the last orbits of the inspiral.

Spinning compact binary inspiral: Independent variables and dynamically preserved spin configurations