اندماج الثقوب السوداء
Binary Black Hole Merger — IMR Simulator Binary Black Hole Merger Interactive inspiral–merger–ringdown (IMR) demonstration Physical parameters Black hole 1 mass (M☉) Black hole 2 mass (M☉) Luminosity distance (Mpc) Inclination (degrees) Starting GW frequency (Hz) Final dimensionless spin Calculate & Plot This is an educational semi-analytic IMR model, not a full BSSN/generalized-harmonic numerical-relativity evolution. Inspiral uses the leading quadrupole chirp, merger is joined near the Schwarzschild ISCO estimate, and ringdown uses an approximate Kerr ℓ=m=2 QNM fit. Gravitational-wave frequency Orbital separation h+ polarization: inspiral → ringdown Merger / ringdown zoom df/dt = (96/5) π 8/3 (GM c /c³) 5/3 f 11/3 h RD (t) = A₀ e −t/τ cos(2π f QNM t + φ₀) Ammar Sakaji, IAC