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Compact binary inspiral in post-Newtonian (PN) approximation. Frequency evolution via 4th-order Runge-Kutta integration of the Peters (1964) chirp equation. Merger triggered at the innermost stable circular orbit (ISCO). Quasi-normal mode ringdown thereafter using Berti et al. (2006) final BH mass and spin fits.
Strain waveform -- h(t) with amplitude envelope.
Spectrogram -- rolling time-frequency power waterfall showing the chirp sweep.
Orbital plane -- inspiral trajectory with gravitational wave ripple rings.
Spacetime curvature -- h_uv tensor magnitude on a spatial grid (heuristic).
Energy decay -- E_orb(t) with ISCO level marker.
Antenna pattern -- F+ and Fx polar sensitivity lobes vs inclination angle.
SNR meter -- LIGO O3 matched-filter signal-to-noise ratio estimate.
Event log -- timestamped physics milestones: ISCO approach, merger, ringdown.
Peters (1964) Phys Rev 136 B1224 -- orbital decay rate
Maggiore (2007) Gravitational Waves Vol.1 Oxford -- strain formula
Berti, Cardoso, Will (2006) PRD 73 064030 -- ringdown QNM fits
Abbott et al. (2016) PRL 116 061102 -- GW150914 reference event
LIGO/Virgo O3 (2020) -- sensitivity noise curves
MIT Licence. Astrophyzix Digital Observatory 2026.
PN approximation breaks down near merger (v/c ~ 0.4+). Ringdown is parametric (QNM fit), not full numerical relativity. Spin-orbit and spin-spin couplings omitted. No cosmological redshift applied to frequency or amplitude. Antenna pattern is sky-averaged (fixed sky position). SNR is an order-of-magnitude estimate only. For precision work see LIGO LALSuite / IMRPhenomD waveforms.