Spinning compact binary dynamics and chameleon orbits

Understand

We analyse the conservative evolution of spinning compact binaries to second post-Newtonian (2PN) order accuracy, with leading order spin-orbit, spin-spin and mass quadrupole-monopole contributions included.

• As a main result we derive a closed system of first order differential equations in a compact form, for a set of dimensionless variables encompassing both orbital elements and spin angles.
• These evolutions are constrained by conservation laws holding at 2PN order.
• As required by the generic theory of constrained dynamical systems we perform a consistency check and prove that the constraints are preserved by the evolution.