Geometric configuration of the hierarchical triple system where an NS binary orbits Sgr A^*. The reference frame is chosen such that the outer orbital angular momentum L_o aligns with the Z-axis. The inner binary orbital plane is tilted at inclination ι with respect to the outer orbit, with longitude of ascending node Ω and pericenter angle ω defining the orbital orientation. The vector S₁ represents the primary NS spin. The detector inclination angle ι_d is defined between L_o and D, and the spin inclination angle ι_s between L_o and S₁. Initially, both D and S₁ lie in the Y–Z plane, and their Y-components are positive.